A stochastic mussel-algae model under regime switching

被引：3

作者：

Xie, Yan ^{[1
]}

Liu, Zhijun ^{[1
]}

Qi, Ke ^{[1
]}

Shangguan, Dongchen ^{[1
]}

Wang, Qinglong ^{[1
]}

机构：

[1] Hubei Minzu Univ, Sch Math & Stat, Enshi 445000, Hubei, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2022年 / 19卷 / 05期

关键词：

mussel-algae model; brownian motion; regime switching; extinction; ergodic stationary distribution; SIRS EPIDEMIC MODEL; STATIONARY DISTRIBUTION; SPATIAL-PATTERNS; MYTILUS-EDULIS; ZEBRA MUSSELS; ERGODICITY; DYNAMICS; POPULATION; PHYTOPLANKTON; BEHAVIOR;

D O I：

10.3934/mbe.2022224

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We investigate a novel model of coupled stochastic differential equations modeling the interaction of mussel and algae in a random environment, in which combined effect of white noises and telegraph noises formulated under regime switching are incorporated. We derive sufficient condition of extinction for mussel species. Then with the help of stochastic Lyapunov functions, a well-grounded understanding of the existence of ergodic stationary distribution is obtained. Meticulous numerical examples are also employed to visualize our theoretical results in detail. Our analytical results indicate that dynamic behaviors of the stochastic mussel-algae model are intimately associated with two kinds of random perturbations.

引用

页码：4794 / 4811

页数：18

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