FORMATION OF DISSIPATIVE STRUCTURES IN THE DISTANCE FROM THE BOUNDARY OF LOSSES OF EQUILIBRIUM OF SPATIALLY HOMOGENEOUS DENSITY IN PREDATOR - PREY SYSTEMS
Abstract and keywords
Abstract (English):
Forming in the distance of the Turing bifurcation stationary dissipative structures are constructed numerically, for two distributed predator-prey models. In the case of a circular range, one of the models observes a sequence of splitting of the density maximum in the parameter region, where for small amplitude the highest growth rate has the independent of the polar angle perturbation. In a similar case, formation of structures close to striped pattern is observed in another model (model with a lower critical prey density).

Keywords:
predator-prey relationship, dissipative structures
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References

1. Bazykin A.D. Nelineynaya dinamika vzaimodeystvuyuschih populyaciy. Moskva-Izhevsk: Institut komp'yuternyh issledovaniy, 2003, 368 s. [Bazykin A.D. Nonlinear Dynamics of Interacting Populations. Moscow: Institut computernih issledovaniy, 2003, 368 p. (In Russ.)]

2. Murray J.D. Mathematical Biology II: Spatial Models and Biomedical Applications. N-Y, Springer, 2003, 811 p.


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