DYNAMIC ANALYSIS ON AN ALMOST PERIODIC PREDATOR-PREY SYSTEM WITH IMPULSIVE EFFECTS AND TIME DELAYS

被引：11
|
作者：
Luo, Demou [1 ]
Wang, Qiru [1 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2021年 / 26卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Almost periodic predator-prey model; impulsive effects and time delays; permanence and global stability; existence and uniqueness of almost periodic positive solutions; CELLULAR NEURAL-NETWORKS; EXPONENTIAL STABILITY; VARYING DELAYS; GLOBAL ATTRACTIVITY; LEAKAGE TERMS; MODEL; EXISTENCE;
D O I：
10.3934/dcdsb.2020238
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article is concerned with a generalized almost periodic predator-prey model with impulsive effects and time delays. By utilizing comparison theorem and constructing a feasible Lyapunov functional, we obtain sufficient conditions to guarantee the permanence and global asymptotic stability of the system. By applying Arzela-Ascoli theorem, we establish the existence and uniqueness of almost-periodic positive solutions. A feasible numerical simulation is provided to explain the suitability of our main criteria.
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页码：3427 / 3453
页数：27
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