Stationary distribution of a stochastic ratio-dependent predator-prey system with regime-switching

被引：28

作者：

Wang, Zhaojuan ^{[1
]}

Deng, Meiling ^{[1
]}

Liu, Meng ^{[1
]}

机构：

[1] Huaiyin Normal Univ, Sch Math Sci, Huaian 223300, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 142卷

关键词：

Ratio-dependent predator-prey system; Random disturbances; Stationary distribution;

D O I：

10.1016/j.chaos.2020.110462

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article explores a stochastic ratio-dependent predator-prey model with regime-switching. We testify that the model admits a unique stationary distribution, and demonstrate that the transition probability of the solution of the model converges to the stationary distribution in exponent rate. We also discuss the biological implications of the results by aid of some numerical simulations. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：9

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