Periodicity and stability of an impulsive nonlinear competition model with infinitely distributed delays and feedback controls

被引：1
|
作者：
Lu, Hongying [1 ]
机构：
[1] Dongbei Univ Finance & Econ, Sch Math, Dalian 116025, Liaoning, 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：
positive periodic solution; globally asymptotic stability; impulse; feedback control; delay; nonlinear competition model; coincidence degree; Lyapunov functional; GLOBAL ASYMPTOTIC STABILITY; PREDATOR-PREY SYSTEM; EXISTENCE; ATTRACTIVITY; GILPIN;
D O I：
10.1186/s13662-016-0979-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with a periodic nonlinear competition model governed by impulsive differential equation with infinitely distributed delays and feedback controls. By means of coincidence degree theory and Lyapunov functional, a set of sufficient criteria are obtained to guarantee the existence and globally asymptotic stability of a unique positive periodic solution of the model. Furthermore, applying our main results to some important competition models which have been well studied in the literature, we establish some new criteria to supplement and generalize some well-known results.
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页数：24
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