Uniformly asymptotic stability of almost periodic solutions for a competitive system with impulsive perturbations

被引:0
作者
Ronghua Tan
Weifang Liu
Qinglong Wang
Zhijun Liu
机构
[1] Hubei University for Nationalities,Department of Mathematics
来源
Advances in Difference Equations | / 2014卷
关键词
impulsive competitive system; positive almost periodic solutions; uniformly asymptotic stability; Lyapunov function;
D O I
暂无
中图分类号
学科分类号
摘要
Impulsive differential models play an important role in modeling population systems. In this article, we consider an almost periodic competitive model subject to impulsive perturbations and establish sufficient conditions for the uniformly asymptotic stability of a unique positive almost periodic solution for the system. The example and its numerical simulations are carried out to illustrate the feasibility of our main results.
引用
收藏
相关论文
共 38 条
  • [1] Samanta GP(2010)A two-species competitive system under the influence of toxic substances Appl. Math. Comput 216 291-299
  • [2] Jin Z(2005)The persistence in a Lotka-Volterra competition systems with impulsive Chaos Solitons Fractals 24 1105-1117
  • [3] Han MA(2009)Permanence and extinction of an impulsive delay competitive Lotka-Volterra model with periodic coefficients IMA J. Appl. Math 74 559-573
  • [4] Li GH(2008)Partial permanence and extinction in an Comput. Math. Appl 55 76-88
  • [5] Liu ZJ(2010)-species nonautonomous Lotka-Volterra competitive system Nonlinear Anal., Real World Appl 11 1882-1896
  • [6] Wu JH(2006)Permanence and global stability for nonautonomous Nonlinear Anal., Real World Appl 7 1042-1047
  • [7] Tan RH(2008)-species Lotka-Volterra competitive system with impulses Appl. Math. Comput 197 271-287
  • [8] Li JX(2006)Extinction in a two dimensional Lotka-Volterra system with infinite delay J. Differ. Equ 228 580-610
  • [9] Yan JR(2004)Globally asymptotic stability in two periodic delayed competitive systems Math. Med. Biol 21 129-145
  • [10] Hou J(1999)Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay Math. Biosci 160 47-61