Regular and chaotic variability caused by random disturbances in a predator–prey system with disease in predator

A “prey–predator” population model when the predator population is susceptible to disease is considered. We perform a deterministic bifurcation analysis in dependence on the infection rate parameter and specify multistability zones with coexistence of equilibrium and oscillatory modes. In this model...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2022-10, Vol.163, p.112551, Article 112551
Main Authors: Bashkirtseva, Irina, Perevalova, Tatyana, Ryashko, Lev
Format: Article
Language:English
Subjects:
Chaos
Eco-epidemiological model
Noise-induced phenomena
Stochastic sensitivity
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Summary:A “prey–predator” population model when the predator population is susceptible to disease is considered. We perform a deterministic bifurcation analysis in dependence on the infection rate parameter and specify multistability zones with coexistence of equilibrium and oscillatory modes. In this model, we study stochastic effects caused by random fluctuations in the predation rate and infection rate parameters. Noise-induced transitions between equilibrium and oscillatory modes are studied both numerically and analytically by the stochastic sensitivity approach. An opposite of consequences of random perturbations in two different parameters, namely noise-induced regularization or transition to chaos, is discovered and justified by Lyapunov exponents. •We study stochastic effects in the PSI-model.•Probabilistic mechanisms of noise-induced transitions are analyzed.•Order-chaos transformations are studied.•Confidence domain method is applied.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2022.112551