Dynamical analysis of a stochastic hybrid predator-prey model with Beddington-DeAngelis functional response and Levy jumps

被引：1

作者：

Qiu, Hong ^{[1
]}

Huo, Yanzhang ^{[1
]}

Ma, Tianhui ^{[1
]}

机构：

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

来源：

AIMS MATHEMATICS | 2022年 / 7卷 / 08期

关键词：

predator-prey model; regime-switching; Levy jumps; stationary distribution; LOTKA-VOLTERRA MODEL; 2-PREDATOR MODEL; PERSISTENCE; PERMANENCE; EXTINCTION; STABILITY; SYSTEM;

D O I：

10.3934/math.2022799

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a stochastic hybrid predator-prey model with Beddington-DeAngelis functional response and Levy jumps is studied. Firstly, it is proved that the model has a unique global solution. Secondly, sufficient conditions for weak persistence in the mean and extinction of prey and predator populations are established. Finally, sufficient conditions for the existence and uniqueness of ergodic stationary distribution are established. Moreover, several numerical simulations are presented to illustrate the main results.

引用

页码：14492 / 14512

页数：21

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