Dynamics of a stochastic predator-prey model with two competitive preys and one predator in a polluted environment

被引：6

作者：

Gao, Yongxin ^{[1
]}

Tian, Shiquan ^{[1
]}

机构：

[1] Civil Aviat Univ China, Tianjin 300300, Peoples R China

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2018年 / 35卷 / 02期

关键词：

Two competitive preys and one predator model; Toxicant effect; Random disturbance; Globally attractive; STAGE-STRUCTURED POPULATION; RANDOM PERTURBATION; SURVIVAL ANALYSIS; CHEMOSTAT MODEL; PULSE INPUT; STABILITY; SYSTEM; PERSISTENCE; EXTINCTION; TOXICANT;

D O I：

10.1007/s13160-018-0314-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose and study a stochastic predator-prey model with two competitive preys and one predator in a polluted environment. We first carry out the survival analysis and establish sufficient criteria for the extinction, non-persistence, weak persistence in the mean and strong persistence in the mean. The threshold between weak persistence in the mean and extinction is obtained for each population. Then, we derive sufficient conditions for global attractivity of the studied model. Numerical simulations are carried out to verify the theoretical results.

引用

页码：861 / 889

页数：29

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