ANALYSIS OF A STOCHASTIC NONAUTONOMOUS HYBRID POPULATION MODEL WITH IMPULSIVE PERTURBATIONS

被引：1

作者：

Chen, Qianjun ^{[1
,2
]}

Liu, Zijian ^{[1
]}

Tan, Yuanshun ^{[1
]}

Yang, Jin ^{[1
]}

机构：

[1] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

[2] Chongqing Energy Coll, Sch Math Teaching & Res Sect, Gen Educ, Chongqing 402260, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Allee effect; markovian switching; impulsive perturbations; permanence; extinction; LOGISTIC EQUATION; GLOBAL STABILITY; PERMANENCE; DYNAMICS; PERSISTENCE; EXTINCTION; SYSTEM; SIMULATIONS; EXISTENCE;

D O I：

10.11948/20220108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a stochastic nonautonomous hybrid pop-ulation model with Allee effect, Markovian switching and impulsive perturba-tions and investigate its stochastic dynamics. We first establish sufficient con-ditions for the extinction and permanence. Then, we study some asymptotic properties and the lower-and upper-growth rates of the positive solutions. Finally, by performing numerical simulations we verify the main results and analyze the impact on the system from the Allee effect, the Markovian switch-ing and the impulsive perturbations.

引用

页码：2365 / 2386

页数：22

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