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
收藏
页码：2365 / 2386
页数：22
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