首页    期刊浏览 2024年07月05日 星期五
登录注册

文章基本信息

  • 标题:Global Stability of a Stage-Structured Predator-Prey Model with Stochastic Perturbation
  • 本地全文:下载
  • 作者:Liu Yang ; Shouming Zhong
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2014
  • 卷号:2014
  • DOI:10.1155/2014/512817
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This paper is concerned with a new predator-prey model with stage structure on prey, in which the immature prey and the mature prey are preyed on by predator. We think that the model is more realistic and interesting than the one in which only the immature prey or the mature prey is consumed by predator. Our work shows that the stochastic model and its corresponding deterministic system have a unique global positive solution and the positive solution is global asymptotic stability for each model. If the positive equilibrium point of the deterministic system is globally stable, then the stochastic model will preserve the nice property provided that the noise is sufficiently small. Results are analyzed with the help of graphical illustrations.
国家哲学社会科学文献中心版权所有