Stationary distribution of a stochastic two-species Schoener's competitive system with regime switching

被引：1

作者：

Qiu, Hong ^{[1
]}

Liu, Yunzhe ^{[1
]}

Huo, Yanzhang ^{[1
]}

Hou, Rumei ^{[1
]}

Zheng, Wenhua ^{[1
]}

机构：

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

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 01期

关键词：

stationary distribution; Schoener's competitive model; random disturbances; ergodicity; LOTKA-VOLTERRA MODEL; POPULATION-DYNAMICS; ERGODICITY; TEMPERATURE; PERMANENCE; EXTINCTION; GROWTH;

D O I：

10.3934/math.2023076

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies a stochastic two-species Schoener's competitive model with regime switching. We first investigate the sufficient conditions for the existence of a unique stationary distribution of the model. Then we prove that the convergence of transition probability to the stationary distribution is exponentially under some mild assumptions. Moreover, we also introduce several numerical simulations to validate the model against the biological significance.

引用

页码：1509 / 1529

页数：21

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