Analysis of a nonautonomous stochastic predator-prey model with Crowley-Martin functional response

Advances in Difference Equations

Shihua Chen¹  Shujing Gao²  Yan Zhang² 

[1] College of Mathematics and Computer Science, Gannan Normal University, Ganzhou, P.R. China;School of Mathematics and Statistics, Wuhan University, Wuhan, P.R. China

关键词: stochastic nonautonomous model;    persistence;    extinction;    functional response;   

DOI  :  10.1186/s13662-016-0993-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The objective of this paper is to study some qualitative dynamic properties of a nonautonomous predator-prey model with stochastic perturbation and Crowley-Martin functional response. The existence of a global positive solution and stochastically ultimate boundedness are obtained. Sufficient conditions for extinction, persistence in the mean, and stochastic permanence of the system are established. We also derive conditions to guarantee the global attractiveness and stochastic persistence in probability of the model. Our theoretical results are confirmed by numerical simulations.

【 授权许可】

CC BY