Asymptotic Analysis of Impulsive Dispersal Predator-Prey Systems with Markov Switching on Finite-State Space. (1st April 2019)

• Record Type: Journal Article
• Authors: Liu, Guodong; Chang, Zhengbo; Meng, Xinzhu
• Other Names: Vetro Pasquale Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2019(2019)
• Publication Date: 2019-04-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2019/8057153
• Languages: English
• ISSNs: 2314-8896

Abstract

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.