Periodic measure of a stochastic non-autonomous predator–prey system with impulsive effects

Jiangtao Yang

Mathematics and Computers in Simulation (MATCOM), 2022, vol. 202, issue C, 464-479

Abstract: In this paper, we study a stochastic predator–prey system with impulsive effects and time periodic coefficients. By the properties of periodic Markov processes, Krylov–Bogolyubov’s method and Doob’s Theorem, the existence and uniqueness of periodic measure of the system is presented under the condition of the stochastic persistence of the system. Numerical simulations are given to verify the effectiveness of the theoretical results and to show the effects of the stochastic perturbation and impulsive perturbation on the persistence and periodic measure of the system.

Keywords: Predator–prey model; Stochastic perturbation; Impulsive effect; Persistence; Periodic measure (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:202:y:2022:i:c:p:464-479

DOI: 10.1016/j.matcom.2022.06.011

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