Existence and stability of a unique almost periodic solution for a prey-predator system with impulsive effects and multiple delays

被引：0
|
作者：
Tian, Baodan [1 ,2 ]
Zhong, Shouming [2 ]
Chen, Ning [1 ]
机构：
[1] Southwest Univ Sci & Technol, Inst Modeling & Algorithm, Sch Sci, Mianyang 621010, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2016年
基金：
中国国家自然科学基金;
关键词：
impulsive effects; delays; permanence; almost periodic solution; asymptotical stability; FUNCTIONAL-RESPONSE; ECOLOGICAL MODEL; NEURAL-NETWORKS; TIME DELAYS; INTERFERENCE; DYNAMICS;
D O I：
10.1186/s13662-016-0915-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a nonautonomous almost periodic prey-predator system with impulsive effects and multiple delays is considered. By the mean-value theorem of multiple variables, integral inequalities, differential inequalities, and other mathematical analysis skills, sufficient conditions which guarantee the permanence of the system are obtained. Furthermore, by constructing a series of Lyapunov functionals, we derive that there exists a unique almost periodic solution of the system which is uniformly asymptotically stable. Finally, a numerical example and some simulations are presented to support our theoretical results.
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页数：23
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