The stationary distribution and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton under regime switching

被引：11
|
作者：
Chen, Zhewen [1 ]
Tian, Zhuyan [1 ]
Zhang, Shuwen [1 ]
Wei, Chunjin [1 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen, Fujian, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2020年 / 537卷
关键词：
Toxin-producing phytoplankton; Phytoplankton-zooplankton; Regime switching; Positive recurrent; Environmental fluctuations; PREDATOR-PREY MODEL; SIS EPIDEMIC MODEL; ALLELOPATHY MODEL; DYNAMICS; PERMANENCE; STABILITY; SYSTEM;
D O I：
10.1016/j.physa.2019.122728
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper addresses a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton under regime switching. The stochastic model in this paper includes white and colored noises. For the model, we first prove the existence of the global positive solution of the model. And then by using Khasminskii's method and Lyapunov function, we derive sufficient conditions for the existence of a unique ergodic stationary distribution. Finally, numerical simulations are carried out to support our results. (C) 2019 Elsevier B.V. All rights reserved.
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页数：10
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