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

Author:

Guo ShengliangORCID

Abstract

AbstractIn 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.

Funder

The work is supported by the Scientific Research Foundation of Chongqing Technology and Business University

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

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