Asymptotic Analysis of Impulsive Dispersal Predator-Prey Systems with Markov Switching on Finite-State Space

Author:

Liu Guodong1,Chang Zhengbo12,Meng Xinzhu12ORCID

Affiliation:

1. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

2. College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China

Abstract

In this paper, we investigate the stochastic dynamics of two dispersal predator-prey systems perturbed by white noise, impulsive effect, and regime switching. For the system just interrupted by white noise, we first prove that the stochastic impulsive system has a nontrivial positive periodic solution. Then the sufficient conditions for persistence in mean and extinction of the system are obtained. For the system with Markov regime switching, we verify it is ergodic and has a stationary distribution. And conditions for extinction of the prey species are established. Finally, we provide a series of numerical simulations to illustrate the theoretical analysis.

Funder

Research Fund for the Taishan Scholar Project of Shandong Province of China

Publisher

Hindawi Limited

Subject

Analysis

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