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 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Russian Journal of Biological Physics and Chemisrty</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Russian Journal of Biological Physics and Chemisrty</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>АКТУАЛЬНЫЕ ВОПРОСЫ БИОЛОГИЧЕСКОЙ ФИЗИКИ И ХИМИИ</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2499-9962</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">83077</article-id>
   <article-id pub-id-type="doi">10.29039/rusjbpc.2023.0596</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>БИОФИЗИЧЕСКАЯ ЭКОЛОГИЯ И БИОЛОГИЧЕСКИЕ РЕСУРСЫ</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>BIOPHYSICAL ECOLOGY AND BIOLOGICAL RESOURCES</subject>
    </subj-group>
    <subj-group>
     <subject>БИОФИЗИЧЕСКАЯ ЭКОЛОГИЯ И БИОЛОГИЧЕСКИЕ РЕСУРСЫ</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">PLANKTON FRACTIONATION BY SEQUENTIAL FILTRATION AND CONSTRUCTION OF BIODIVERSITY PYRAMIDS</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>ФРАКЦИОНИРОВАНИЕ ПЛАНКТОНА С ПОМОЩЬЮ ПОСЛЕДОВАТЕЛЬНОЙ ФИЛЬТРАЦИИ И ПОСТРОЕНИЕ ПИРАМИД БИОРАЗНООБРАЗИЯ</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Савицкий</surname>
       <given-names>М. А.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Savitsky</surname>
       <given-names>M. A.</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Кузнецов</surname>
       <given-names>А. В.</given-names>
      </name>
      <name xml:lang="en">
       <surname>Kuznetsov</surname>
       <given-names>A. V.</given-names>
      </name>
     </name-alternatives>
     <email>kuznet61@gmail.com</email>
     <xref ref-type="aff" rid="aff-2"/>
     <xref ref-type="aff" rid="aff-3"/>
     <xref ref-type="aff" rid="aff-4"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Центр дополнительного образования «Малая академия наук»</institution>
     <city>Севастополь</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Center for Additional Education &quot;Small Academy of Sciences&quot;</institution>
     <city>Sevastopol</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Центр дополнительного образования «Малая академия наук»</institution>
     <city>Севастополь</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Center for Additional Education &quot;Small Academy of Sciences&quot;</institution>
     <city>Sevastopol</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">Институт биологии южных морей им. А.О. Ковалевского РАН</institution>
     <city>Севастополь</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">A.O. Kovalevsky Institute of Biology of the South Seas of the RAS</institution>
     <city>Sevastopol</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-4">
    <aff>
     <institution xml:lang="ru">Севастопольский государственный университет</institution>
     <city>Севастополь</city>
     <country>Россия</country>
    </aff>
    <aff>
     <institution xml:lang="en">Sevastopol State University</institution>
     <city>Sevastopol</city>
     <country>Russian Federation</country>
    </aff>
   </aff-alternatives>
   <pub-date publication-format="print" date-type="pub" iso-8601-date="2024-05-16T15:38:19+03:00">
    <day>16</day>
    <month>05</month>
    <year>2024</year>
   </pub-date>
   <pub-date publication-format="electronic" date-type="pub" iso-8601-date="2024-05-16T15:38:19+03:00">
    <day>16</day>
    <month>05</month>
    <year>2024</year>
   </pub-date>
   <volume>8</volume>
   <issue>1</issue>
   <fpage>99</fpage>
   <lpage>110</lpage>
   <history>
    <date date-type="received" iso-8601-date="2023-06-30T00:00:00+03:00">
     <day>30</day>
     <month>06</month>
     <year>2023</year>
    </date>
   </history>
   <self-uri xlink:href="https://rusjbpc.ru/en/nauka/article/83077/view">https://rusjbpc.ru/en/nauka/article/83077/view</self-uri>
   <abstract xml:lang="ru">
    <p>Модели хищник-жертва Лотки–Вольтерры используются для изучения экологии сообществ, но их способность генерировать пирамиды Элтона в сравнении с полевыми данными подробно не исследовалась. В данной работе вместо систем обыкновенных дифференциальных уравнений (ODE – ordinary differential equation) использовали агентно-ориентированное программирование (ABM – agentbased modeling). Показано, что двухкомпонентная система продуцент-консумент нестабильна, тогда как трёхкомпонентная система с консументами 1-го и 2-го порядка стабильна при длительной симуляции. Временные срезы по ходу выполнения программы могут порождать как пирамиды Элтона, так и каскады. Результаты моделирования согласуются с экспериментами по разделению черноморского планктона из района м. Фиолент (Крым) на фракции размером от 2 мм до 2 мкм. Хотя биоразнообразие в отдельных пробах в разные моменты времени, как и обилие варьируют в широких пределах, оба показателя предсказуемо снижаются с повышением трофического уровня в случае увеличения числа экспериментов с течением времени.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>Lotka-Volterra predator-prey models are used to study community ecology, but their ability to generate ecological pyramids compared to field data has not been investigated in detail. In this paper, agent-based modeling (ABM) was used instead of systems of ordinary differential equations (ODE). It was shown that the two-component producer-consumer system is unstable, whereas the three-component system with consumers of the 1st and 2nd order is stable under prolonged simulation. Time slices as the program progresses can generate both ecological pyramids and cascades. Simulation results are consistent with experiments on separation of the Black Sea plankton from the area of Cape Fiolent (Crimea) into fractions ranging in size from 2 mm to 2 microns. Although biodiversity in individual samples at different points in time as well as abundance vary widely, both predictably decline with rising trophic levels in cases where the number of tests increases over time.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>модель Лотки–Вольтерры</kwd>
    <kwd>пирамида Элтона</kwd>
    <kwd>агентно-ориентированное программирование</kwd>
    <kwd>последовательная фильтрация</kwd>
    <kwd>микропланктон</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Lotka-Volterra model</kwd>
    <kwd>ecological pyramid</kwd>
    <kwd>agent-based programming</kwd>
    <kwd>sequential filtration</kwd>
    <kwd>microplankton</kwd>
   </kwd-group>
   <funding-group>
    <funding-statement xml:lang="ru">Работа выполнена в рамках проектов Сириус.Лето № 100220220512058031 и ФИЦ ИнБЮМ № 121030300149-0.</funding-statement>
   </funding-group>
  </article-meta>
 </front>
 <body>
  <p></p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">MacArthur R. Fluctuations of Animal Populations and a Measure of Community Stability. Ecology, 1955, vol. 36, no. 3, pp. 533-536.</mixed-citation>
     <mixed-citation xml:lang="en">MacArthur R. Fluctuations of Animal Populations and a Measure of Community Stability. Ecology, 1955, vol. 36, no. 3, pp. 533-536.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Thebault E., Loreau M. Food-web constraints on biodiversity-ecosystem functioning relationships. Proc Natl Acad Sci USA, 2003, vol. 100, no. 25, pp. 14949-14954.</mixed-citation>
     <mixed-citation xml:lang="en">Thebault E., Loreau M. Food-web constraints on biodiversity-ecosystem functioning relationships. Proc Natl Acad Sci USA, 2003, vol. 100, no. 25, pp. 14949-14954.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Bellwood D.R., Hughes T.P., Folke C., Nystrom M. Confronting the coral reef crisis. Nature, 2004, vol. 429, pp. 827-833.</mixed-citation>
     <mixed-citation xml:lang="en">Bellwood D.R., Hughes T.P., Folke C., Nystrom M. Confronting the coral reef crisis. Nature, 2004, vol. 429, pp. 827-833.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Pimm S.L., Lawton J.H., Cohen J.E. Food web patterns and their consequences. Nature, 1991, vol. 350, pp. 669-674.</mixed-citation>
     <mixed-citation xml:lang="en">Pimm S.L., Lawton J.H., Cohen J.E. Food web patterns and their consequences. Nature, 1991, vol. 350, pp. 669-674.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Turney S., Buddle C.M. Pyramids of species richness: the determinants and distribution of species diversity across trophic levels. Oikos, 2016, vol. 125, pp. 1224-1232.</mixed-citation>
     <mixed-citation xml:lang="en">Turney S., Buddle C.M. Pyramids of species richness: the determinants and distribution of species diversity across trophic levels. Oikos, 2016, vol. 125, pp. 1224-1232.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Vermaat J.E., Dunne J.A., Gilbert A.J. Major dimensions in food-web structure properties. Ecology, 2009, vol. 90, no. 1, p. 278282.</mixed-citation>
     <mixed-citation xml:lang="en">Vermaat J.E., Dunne J.A., Gilbert A.J. Major dimensions in food-web structure properties. Ecology, 2009, vol. 90, no. 1, p. 278282.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Martinez N.D., Lawton J.H. Scale and food-web structure: from local to global. Oikos, 1995, pp. 148-154.</mixed-citation>
     <mixed-citation xml:lang="en">Martinez N.D., Lawton J.H. Scale and food-web structure: from local to global. Oikos, 1995, pp. 148-154.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wood S.A., Russell R., Hanson D., Williams R.J., Dunne J.A. Effects of spatial scale of sampling on food web structure. Ecol Evol., 2015, vol. 5, no. 17, pp.3769-3782.</mixed-citation>
     <mixed-citation xml:lang="en">Wood S.A., Russell R., Hanson D., Williams R.J., Dunne J.A. Effects of spatial scale of sampling on food web structure. Ecol Evol., 2015, vol. 5, no. 17, pp.3769-3782.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">D'Alelio D., Libralato S., Wyatt T., Ribera d'Alcalà M. Ecological-network models link diversity, structure and function in the plankton food-web. Sci Rep., 2016, vol. 17, no. 6, p. 21806.</mixed-citation>
     <mixed-citation xml:lang="en">D'Alelio D., Libralato S., Wyatt T., Ribera d'Alcalà M. Ecological-network models link diversity, structure and function in the plankton food-web. Sci Rep., 2016, vol. 17, no. 6, p. 21806.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Brierley A.S. Plankton. Curr Biol., 2017, vol. 27, no. 11, pp. R478-R483.</mixed-citation>
     <mixed-citation xml:lang="en">Brierley A.S. Plankton. Curr Biol., 2017, vol. 27, no. 11, pp. R478-R483.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ho P.C., Chang C.W., Shiah F.K., Wang P.L., Hsieh C.H., Andersen K.H. Body Size, Light Intensity, and Nutrient Supply Determine Plankton Stoichiometry in Mixotrophic Plankton Food Webs. Am Nat., 2020, vol. 195, no. 4, pp. E100-E111.</mixed-citation>
     <mixed-citation xml:lang="en">Ho P.C., Chang C.W., Shiah F.K., Wang P.L., Hsieh C.H., Andersen K.H. Body Size, Light Intensity, and Nutrient Supply Determine Plankton Stoichiometry in Mixotrophic Plankton Food Webs. Am Nat., 2020, vol. 195, no. 4, pp. E100-E111.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Морозова-Водяницкая Н.В. Фитопланктон Чёрного моря. I. Фитопланктон в районе г. Севастополя и общий обзор фитопланктона Чёрного моря. Тр. Севастоп. биол. ст. АН СССР, 1948, т. 6, с. 39-172.</mixed-citation>
     <mixed-citation xml:lang="en">Morozova-Vodyanitskaya N.V. Phytoplankton of the Black Sea. I. Phytoplankton in the area of Sevastopol and a general overview of phytoplankton of the Black Sea. Tr. Sevastop. biol. art. of the USSR Academy of Sciences, 1948, vol. 6, pp. 39-172 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Поликарпов И.Г., Сабурова М.А., Манжос Л.А., Павловскаая Н.А., Гаврилова Н.А. Биологическое разнообразие микропланктона прибрежной зоны Черного моря в районе Севастополя (2001-2003 гг.). Современное состояние биоразнообразия прибрежных вод Крыма (черноморский сектор). Под ред. В.Н. Еремеева, А.В. Гаевской. НАН Украины, ИнБЮМ. Севастополь: ЭКОСИ-Гидрофизика, 2003, с. 16-43.</mixed-citation>
     <mixed-citation xml:lang="en">Polikarpov I.G., Saburova M.A., Manzhos L.A., Pavlovskaya N.A., Gavrilova N.A. Biological diversity of microplankton of the coastal zone of the Black Sea near Sevastopol (2001-2003). The current state of biodiversity of the coastal waters of the Crimea (Black Sea sector). Edited by V.N. Eremeev, A.V. Gayevskaya. NAS of Ukraine, InBUM. Sevastopol: EKOSI-Hydrophysics, 2003, pp. 16-43 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Сеничева М.И. Сезонная динамика численности, биомассы и продукции фитопланктона Севастопольской бухты . Экология моря, 1980, вып. 1, с. 3-11.</mixed-citation>
     <mixed-citation xml:lang="en">Senicheva M.I. Seasonal dynamics of abundance, biomass and phytoplankton production of the Sevastopol Bay. Ecology of the Sea, 1980, iss. 1, pp. 3-11 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Финенко З.З., Крупаткина Д.К. Первичная продукция и размерная структура фитопланктона в зимне весенний период. Планктон Черного моря, 1993, гл. 2, с. 74-92.</mixed-citation>
     <mixed-citation xml:lang="en">Finenko Z.Z., Krupatkina D.K. Primary production and size structure of phytoplankton in winter and spring. Plankton of the Black Sea, 1993, ch. 2, pp. 74-92 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Финенко З.З., Стельмах Л.В., Мансурова И.М., Георгиева Е.Ю., Цилинский В.С. Сезонная динамика структурных и функциональных показателей фитопланктонного сообщества в Севастопольской бухте. Системы контроля окружающей среды, 2017, № 9(29), с. 73-82.</mixed-citation>
     <mixed-citation xml:lang="en">Finenko Z.Z., Stelmakh L.V., Mansurova I.M., Georgieva E.Yu., Tsilinsky V.S. Seasonal dynamics of structural and functional indicators of phytoplankton community in Sevastopol Bay. Environmental Control Systems, 2017, no. 9(29), pp. 73-82 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Стельмах Л.В., Губанов В.И., Бабич И.И. Сезонные изменения скорости роста и лимитирование фитопланктона питательными веществами в прибрежных водах Чёрного моря в районе Севастополя. Морской экологический журнал, 2004, т. 3, № 4, с. 55-73.</mixed-citation>
     <mixed-citation xml:lang="en">Stelmakh L.V., Gubanov V.I., Babich I.I. Seasonal changes in the growth rate and restriction of phytoplankton by nutrients in the coastal waters of the Black Sea near Sevastopol. Marine Ecological Journal, 2004, vol. 3, no. 4, pp. 55-73 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Malthus T.R. An Essay on the Principle of Population. J. Johnson, in St. Paul’s Church-Yard, 1798, pp. 15-130.</mixed-citation>
     <mixed-citation xml:lang="en">Malthus T.R. An Essay on the Principle of Population. J. Johnson, in St. Paul’s Church-Yard, 1798, pp. 15-130.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Verhulst P.F. Notice sur la loi que la population poursuit dans son accroissement. Corresp. Math. Phys., 1838, vol. 10, pp. 113-121.</mixed-citation>
     <mixed-citation xml:lang="en">Verhulst P.F. Notice sur la loi que la population poursuit dans son accroissement. Corresp. Math. Phys., 1838, vol. 10, pp. 113-121.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Pearl R., Reed L.J. On the rate of growth of the population of the United States since 1790 and its mathematical representation. PNAS, 1920, vol. 6, pp. 275-288.</mixed-citation>
     <mixed-citation xml:lang="en">Pearl R., Reed L.J. On the rate of growth of the population of the United States since 1790 and its mathematical representation. PNAS, 1920, vol. 6, pp. 275-288.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B21">
    <label>21.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lotka A.J. Elements of Physical Biology. Williams and Wilkins Company, 1925, p. 495.</mixed-citation>
     <mixed-citation xml:lang="en">Lotka A.J. Elements of Physical Biology. Williams and Wilkins Company, 1925, p. 495.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B22">
    <label>22.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Volterra V. In Animal Ecology (ed R.N. Chapman). McGraw-Hill, 1926, pp. 409-448.</mixed-citation>
     <mixed-citation xml:lang="en">Volterra V. In Animal Ecology (ed R.N. Chapman). McGraw-Hill, 1926, pp. 409-448.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B23">
    <label>23.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Leslie P.H. On the use of matrices in certain population mathematics. Biometrika, 1945, vol. 33, no. 3, pp. 183-212.</mixed-citation>
     <mixed-citation xml:lang="en">Leslie P.H. On the use of matrices in certain population mathematics. Biometrika, 1945, vol. 33, no. 3, pp. 183-212.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B24">
    <label>24.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Leslie P.H. Some further notes on the use of matrices in population mathematics. Biometrika, 1948, vol. 35, no. 3/4, p. 213245.</mixed-citation>
     <mixed-citation xml:lang="en">Leslie P.H. Some further notes on the use of matrices in population mathematics. Biometrika, 1948, vol. 35, no. 3/4, p. 213245.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B25">
    <label>25.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Свирежев Ю.М., Логофет Д.О. Устойчивость биологических сообществ. М.: Наука, 1978, 352 с.</mixed-citation>
     <mixed-citation xml:lang="en">Svirezhev Yu.M., Logofet D.O. Stability of biological communities. M.: Nauka, 1978, 352 p. (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B26">
    <label>26.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Nealson K.H., Platt T., Hastings J.W. Cellular control of the synthesis and activity of the bacterial luminescent system. J Bacteriol., 1970, vol. 104, no. 1, pp. 313-322.</mixed-citation>
     <mixed-citation xml:lang="en">Nealson K.H., Platt T., Hastings J.W. Cellular control of the synthesis and activity of the bacterial luminescent system. J Bacteriol., 1970, vol. 104, no. 1, pp. 313-322.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B27">
    <label>27.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Stock F., Bilcke G., De Decker S., Osuna-Cruz C.M., Van den Berge K., Vancaester E., De Veylder L., Vandepoele K., Mangelinckx S., Vyverman W. Distinctive Growth and Transcriptional Changes of the Diatom Seminavis robusta in Response to Quorum Sensing Related Compounds. Front Microbiol., 2020, vol. 11, p. 1240.</mixed-citation>
     <mixed-citation xml:lang="en">Stock F., Bilcke G., De Decker S., Osuna-Cruz C.M., Van den Berge K., Vancaester E., De Veylder L., Vandepoele K., Mangelinckx S., Vyverman W. Distinctive Growth and Transcriptional Changes of the Diatom Seminavis robusta in Response to Quorum Sensing Related Compounds. Front Microbiol., 2020, vol. 11, p. 1240.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B28">
    <label>28.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Abisado R.G., Benomar S., Klaus J.R., Dandekar A.A., Chandler J.R. Bacterial Quorum Sensing and Microbial Community Interactions. mBio, 2018, vol. 9, no. 3, e02331-17.</mixed-citation>
     <mixed-citation xml:lang="en">Abisado R.G., Benomar S., Klaus J.R., Dandekar A.A., Chandler J.R. Bacterial Quorum Sensing and Microbial Community Interactions. mBio, 2018, vol. 9, no. 3, e02331-17.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B29">
    <label>29.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Суглобов А.С., Кузнецов А.В. Описание специфичных для смерти белков диатомовых водорослей Thalassiosira pseudonana и Skeletonema costatum. Биофизика сложных многокомпонентных систем. Математическое моделирование. Биоинформатика. VII Съезд биофизиков России, 17-23 апреля 2023, т. 1, с. 293-294.</mixed-citation>
     <mixed-citation xml:lang="en">Suglobov A.S., Kuznetsov A.V. Description of death-specific proteins of Thalassiosira pseudonana and Skeletonema costatum diatoms. Biophysics of complex multicomponent systems. Mathematical modeling. Bioinformatics. VII Congress of Biophysicists of Russia, April 17-23, 2023, vol. 1, pp. 293-294 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B30">
    <label>30.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Elton C.S. Animal Ecology. Sidgwick and Jackson, London, 1927.</mixed-citation>
     <mixed-citation xml:lang="en">Elton C.S. Animal Ecology. Sidgwick and Jackson, London, 1927.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B31">
    <label>31.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Lindemann R.L. Experimental stimulation of winter anaerobiosis in a senescent lake. Ecology, 1942, vol. 23, pp. 1-13.</mixed-citation>
     <mixed-citation xml:lang="en">Lindemann R.L. Experimental stimulation of winter anaerobiosis in a senescent lake. Ecology, 1942, vol. 23, pp. 1-13.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B32">
    <label>32.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Баздырев Д.А. Исследование прибрежной акватории г. Севастополя с помощью набора сит с уменьшающимися размерами отверстий «Biber-1». Департамент образования и науки города Севастополя Государственное бюджетное образовательное учреждение Центр дополнительного образования «Малая академия наук», 2021, 17 с.</mixed-citation>
     <mixed-citation xml:lang="en">Bazdyrev D.A. Investigation of the coastal water area of Sevastopol using a set of sieves with decreasing hole sizes &quot;Biber-1&quot;. Department of Education and Science of the city of Sevastopol State Budgetary educational institution Center for Additional Education &quot;Small Academy of Sciences&quot;, 2021, 17 p. (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B33">
    <label>33.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Уфимцева М.А., Кузнецов А.В. Экспресс-оценка размерных фракций планктона в акватории г. Севастополь зимой 2021-2022 гг: модельные исследования. Актуальные вопросы биологической физики и химии, 2022, т. 7, № 4, с. 640-644.</mixed-citation>
     <mixed-citation xml:lang="en">Ufimtseva M.A., Kuznetsov A.V. Express assessment of the size fractions of plankton in the water area of Sevastopol in the winter of 2021-2022. Russian Journal of Biological Physics and Chemisrty, 2022, vol. 7, no. 4, pp. 640-644 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B34">
    <label>34.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wilensky U. NetLogo Voting model. Center for Connected Learning and Computer-Based Modeling, 1998. Northwestern University, Evanston, IL.</mixed-citation>
     <mixed-citation xml:lang="en">Wilensky U. NetLogo Voting model. Center for Connected Learning and Computer-Based Modeling, 1998. Northwestern University, Evanston, IL.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B35">
    <label>35.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wilensky U. NetLogo. Center for Connected Learning and Computer-Based Modeling, 1999. Northwestern University, Evanston, IL.</mixed-citation>
     <mixed-citation xml:lang="en">Wilensky U. NetLogo. Center for Connected Learning and Computer-Based Modeling, 1999. Northwestern University, Evanston, IL.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B36">
    <label>36.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Liu J. Autonomous agents and multi-agent systems: explorations in learning, self-organization and adaptive computation. World Scientific, 2001.</mixed-citation>
     <mixed-citation xml:lang="en">Liu J. Autonomous agents and multi-agent systems: explorations in learning, self-organization and adaptive computation. World Scientific, 2001.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B37">
    <label>37.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Wilensky U., Reisman K. Connected Science: Learning Biology through Constructing and Testing Computational Theories - an Embodied Modeling Approach. International Journal of Complex Systems, 1999, vol. 234, pp. 1-12.</mixed-citation>
     <mixed-citation xml:lang="en">Wilensky U., Reisman K. Connected Science: Learning Biology through Constructing and Testing Computational Theories - an Embodied Modeling Approach. International Journal of Complex Systems, 1999, vol. 234, pp. 1-12.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B38">
    <label>38.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Jonsson T. Conditions for Eltonian pyramids in Lotka-Volterra food chains. Sci Rep., 2017, vol.  7, p. 10912.</mixed-citation>
     <mixed-citation xml:lang="en">Jonsson T. Conditions for Eltonian pyramids in Lotka-Volterra food chains. Sci Rep., 2017, vol.  7, p. 10912.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B39">
    <label>39.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Fretwell S.D. Food chain dynamics: the central theory of ecology? Oikos, 1987, vol. 50, pp. 291-301.</mixed-citation>
     <mixed-citation xml:lang="en">Fretwell S.D. Food chain dynamics: the central theory of ecology? Oikos, 1987, vol. 50, pp. 291-301.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B40">
    <label>40.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Barbier M., Loreau M. Pyramids and cascades: a synthesis of food chain functioning and stability. Ecol Lett., 2019, vol. 22, no. 2, pp. 405-419.</mixed-citation>
     <mixed-citation xml:lang="en">Barbier M., Loreau M. Pyramids and cascades: a synthesis of food chain functioning and stability. Ecol Lett., 2019, vol. 22, no. 2, pp. 405-419.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B41">
    <label>41.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Hemmingsen A.M. Energy metabolism as related to body size and respiratory surface, and its evolution. Rep Steno Memorial Hospital, 1960, vol. 13, pp. 1-110.</mixed-citation>
     <mixed-citation xml:lang="en">Hemmingsen A.M. Energy metabolism as related to body size and respiratory surface, and its evolution. Rep Steno Memorial Hospital, 1960, vol. 13, pp. 1-110.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B42">
    <label>42.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sheldon R., Prakash A., Sutcliffe W. The size distribution of particles in the ocean. Limnol Oceanography, 1972, vol. 17, pp. 327-340.</mixed-citation>
     <mixed-citation xml:lang="en">Sheldon R., Prakash A., Sutcliffe W. The size distribution of particles in the ocean. Limnol Oceanography, 1972, vol. 17, pp. 327-340.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B43">
    <label>43.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Andersen K.H., Jacobsen N.S., Farnsworth K.D. The theoretical foundations for size spectrum models of fish communities. Can J Fish Aquat Sci., 2015, vol. 73, pp. 575-588.</mixed-citation>
     <mixed-citation xml:lang="en">Andersen K.H., Jacobsen N.S., Farnsworth K.D. The theoretical foundations for size spectrum models of fish communities. Can J Fish Aquat Sci., 2015, vol. 73, pp. 575-588.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B44">
    <label>44.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Banse K., Mosher S. Adult body mass and annual production/biomass relationships of field populations. Ecol Mono., 1980, vol. 50, pp. 355-379.</mixed-citation>
     <mixed-citation xml:lang="en">Banse K., Mosher S. Adult body mass and annual production/biomass relationships of field populations. Ecol Mono., 1980, vol. 50, pp. 355-379.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B45">
    <label>45.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Sprules W.G., Barth L.E. Surfing the biomass size spectrum: some remarks on history, theory, and application. Can J Fish Aquat Sci., 2015, vol. 73, pp. 477-495.</mixed-citation>
     <mixed-citation xml:lang="en">Sprules W.G., Barth L.E. Surfing the biomass size spectrum: some remarks on history, theory, and application. Can J Fish Aquat Sci., 2015, vol. 73, pp. 477-495.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B46">
    <label>46.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Shurin J.B., Borer E.T., Seabloom E.W., Anderson K., Blanchette C.A., Broitman B., Cooper S.D., Halpern B.S. A crossecosystem comparison of the strength of trophic cascades. Ecol Lett., 2002, vol. 5, pp. 785-791.</mixed-citation>
     <mixed-citation xml:lang="en">Shurin J.B., Borer E.T., Seabloom E.W., Anderson K., Blanchette C.A., Broitman B., Cooper S.D., Halpern B.S. A crossecosystem comparison of the strength of trophic cascades. Ecol Lett., 2002, vol. 5, pp. 785-791.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B47">
    <label>47.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Teramoto E. Dynamical structure of energy trophic levels. Ecological Modelling, 1993, vol. 96, pp. 135-147.</mixed-citation>
     <mixed-citation xml:lang="en">Teramoto E. Dynamical structure of energy trophic levels. Ecological Modelling, 1993, vol. 96, pp. 135-147.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B48">
    <label>48.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Ивлев В.С. Биология и математика. Вопр. философии, 1956, № 6, с. 76-79.</mixed-citation>
     <mixed-citation xml:lang="en">Ivlev V.S. Biology and mathematics. Vopr. of Philosophy, 1956, no. 6, pp. 76-79 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B49">
    <label>49.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Меншуткин В.В. Математическое моделирование популяций и сообществ водных животных. АН СССР. Сов. нац. ком. по междунар. биол. программе. Ин-т эволюц. физиологии и биохимии им. И.М. Сеченова. Ленинград: Наука. Ленингр. отд-ние, 1971, 196 с.</mixed-citation>
     <mixed-citation xml:lang="en">Menshutkin V.V. Mathematical modeling of populations and communities of aquatic animals. USSR Academy of Sciences. Soviet National Com. by international. biol. the program. In-t evolution. physiology and biochemistry named after I.M. Sechenov. Leningrad: Nauka. Leningr. publishing house, 1971, 196 p. (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B50">
    <label>50.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Хайлов К.М. Экологический метаболизм в море. Киев: Наукова думка, 1971, 252 с.</mixed-citation>
     <mixed-citation xml:lang="en">Khaylov K.M. Ecological metabolism in the sea. Kiev: Naukova dumka, 1971, 252 p. (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B51">
    <label>51.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Егоров В.Н. Теория радиоизотопного и химического гомеостаза морских экосистем. В.Н. Егоров; Федеральный исследовательский центр &quot;Институт биологии южных морей имени А.О. Ковалевского РАН&quot;. Севастополь: ФИЦ ИнБЮМ, 2019, 355 с.</mixed-citation>
     <mixed-citation xml:lang="en">Egorov V.N. Theory of Radioisotope and chemical homeostasis of marine ecosystems. V.N. Egorov; Federal Research Center &quot;A.O. Kovalevsky Institute of Biology of the Southern Seas of the Russian Academy of Sciences&quot;. Sevastopol: FITZ Inbyum, 2019, 355 p. (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B52">
    <label>52.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Otto S.B., Rall B.C., Brose U. Allometric degree distributions facilitate food-web stability. Nature, 2007, vol. 450, pp. 1226-1227.</mixed-citation>
     <mixed-citation xml:lang="en">Otto S.B., Rall B.C., Brose U. Allometric degree distributions facilitate food-web stability. Nature, 2007, vol. 450, pp. 1226-1227.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B53">
    <label>53.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Yodzis P. The stability of real ecosystems. Nature, 1981, vol. 289, pp. 674-676.</mixed-citation>
     <mixed-citation xml:lang="en">Yodzis P. The stability of real ecosystems. Nature, 1981, vol. 289, pp. 674-676.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B54">
    <label>54.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Салтыков М.Ю., Барцев С.И., Ланкин Ю.П. Зависимость устойчивости моделей замкнутых экосистем от числа видов. Журнал СФУ серия «Биология 2», № 4, 2011, с. 197-208.</mixed-citation>
     <mixed-citation xml:lang="en">Saltykov M.Yu., Bartsev S.I., Lankin Yu.P. Dependence of the stability of models of closed ecosystems on the number of species. SIBFU Journal series &quot;Biology 2&quot;, no. 4, 2011, pp. 197-208 (In Russ.).</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B55">
    <label>55.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Jonsson T., Cohen J.E., Carpenter S.R. Food webs, body size and species abundance in ecological community description. Advances in Ecological Research, 2005, vol. 36, pp. 1-83.</mixed-citation>
     <mixed-citation xml:lang="en">Jonsson T., Cohen J.E., Carpenter S.R. Food webs, body size and species abundance in ecological community description. Advances in Ecological Research, 2005, vol. 36, pp. 1-83.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B56">
    <label>56.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">Harvey H.W. On the production of living matter in the sea off Plymouth. Journal of the Marine Biological Association of the United Kingdom, 1950, vol. 29, pp. 97-137.</mixed-citation>
     <mixed-citation xml:lang="en">Harvey H.W. On the production of living matter in the sea off Plymouth. Journal of the Marine Biological Association of the United Kingdom, 1950, vol. 29, pp. 97-137.</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
