Modelling and analysis of a stochastic nonautonomous predator-prey model with impulsive effects and nonlinear functional response

• Main Authors: Yan Zhang, Shujing Gao, Shihua Chen
• Format: Article
• Language: English
• Published: AIMS Press 2021-04-01
• Series: Mathematical Biosciences and Engineering
• Subjects: extinction; global attractivity; impulsive effects; persistence; stochastic predator-prey model
• Online Access: http://www.aimspress.com/article/doi/10.3934/mbe.2021077?viewType=HTML

In this paper, a new stochastic predator-prey model with impulsive perturbation and Crowley-Martin functional response is proposed. The dynamical properties of the model are systematically investigated. The existence and stochastically ultimate boundedness of a global positive solution are derived using the theory of impulsive stochastic differential equations. Some sufficient criteria are obtained to guarantee the extinction and a series of persistence in the mean of the system. Moreover, we provide conditions for the stochastic permanence and global attractivity of the model. Numerical simulations are performed to support our qualitative results.