首页    期刊浏览 2024年07月08日 星期一
登录注册

文章基本信息

  • 标题:Existence and stability of a unique almost periodic solution for a prey-predator system with impulsive effects and multiple delays
  • 本地全文:下载
  • 作者:Baodan Tian ; Shouming Zhong ; Ning Chen
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:187
  • DOI:10.1186/s13662-016-0915-2
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 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.
  • 关键词:impulsive effects ; delays ; permanence ; almost periodic solution ; asymptotical stability
国家哲学社会科学文献中心版权所有