Survival analysis of a stochastic cooperation system with functional response in a polluted environment

Advances in Difference Equations

article

Guo, Shengliang¹ 

[1] School of Mathematics and Statistics, Chongqing Technology and Business University;Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing Technology and Business University

关键词: Cooperation system;    White noise;    Polluted environment;    Survival analysis;    Numerical simulations;   

DOI  :  10.1186/s13662-020-02816-5

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we propose and study a stochastic two-species cooperation model with functional response in a polluted environment. We first perform the survival analysis and establish sufficient conditions for extinction, weak persistence, and stochastic permanence. Then we further perform the survival analysis based on the temporal average of population size and derive sufficient conditions for the strong persistence in the mean and weak persistence in the mean. Finally, we present numerical simulations to justify the theoretical results.

【 授权许可】

CC BY