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Stochastic Bifurcations and Noise-Induced Chaos in a Dynamic Prey–Predator Plankton System

Irina Bashkirtseva

Ural Federal University, Lenina, 51, 620083, Ekaterinburg, Russia

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and

Lev Ryashko

Ural Federal University, Lenina, 51, 620083, Ekaterinburg, Russia

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https://doi.org/10.1142/S0218127414501090Cited by:18 (Source: Crossref)

Abstract

We consider the stochastic Truscott–Brindley dynamical model of the interacting populations of prey and predator. We study a new phenomenon of the stochastic cycle splitting. In a zone of Canard cycles, using the stochastic sensitivity function technique, we find a critical value of the parameter corresponding to the supersensitive cycle. In the neighborhood of this critical value, a comparative parametrical analysis of the phenomenon of the stochastic cycle splitting is performed. It is shown that the bifurcation of the stochastic cycle splitting is accompanied by the noise-induced chaotization.

Keywords:

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