Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching | Zendy

Weili Kong | Zendy; Yuanfu Shao | Zendy

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Long-Time Behaviours of a Stochastic Predator-Prey System with Holling-Type II Functional Response and Regime Switching

Author(s) -

Weili Kong,

Yuanfu Shao

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/6672030

Subject(s) - mathematics , functional response , stationary distribution , white noise , predation , type (biology) , control theory (sociology) , noise (video) , stochastic dynamics , statistical physics , predator , mathematical optimization , markov chain , statistics , computer science , ecology , image (mathematics) , control (management) , artificial intelligence , biology , physics

Considering the impacts of white noise, Holling-type II functional response, and regime switching, we formulate a stochastic predator-prey model in this paper. By constructing some suitable functionals, we establish the sufficient criteria of the stationary distribution and stochastic permanence. By numerical simulations, we illustrate the results and analyze the influence of regime switching on the dynamics.

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