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

Advances in Difference Equations

Hongying Lu¹ 

[1] School of Mathematics, Dongbei University of Finance and Economics, Dalian, P.R. China

关键词: positive periodic solution;    globally asymptotic stability;    impulse;    feedback control;    delay;    nonlinear competition model;    coincidence degree;    Lyapunov functional;   

DOI  :  10.1186/s13662-016-0979-z

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY