数学物理学报(英文版) ›› 2002, Vol. 22 ›› Issue (4): 533-541.

• 论文 • 上一篇    下一篇

PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS

 徐瑞, 陈兰荪   

  1. Department of Mathematics, Mechanical Engineering College, Shijiazhuang 050003, China Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • 出版日期:2002-10-14 发布日期:2002-10-14

PERSISTENCE AND GLOBAL STABILITY FOR A THREE-SPECIES RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH TIME DELAYS IN TWO-PATCH ENVIRONMENTS

 XU Rui, CHEN Lan-Sun   

  1. Department of Mathematics, Mechanical Engineering College, Shijiazhuang 050003, China Institute of Mathematics, Academia Sinica, Beijing 100080, China
  • Online:2002-10-14 Published:2002-10-14

摘要:

A three-species ratio-dependent predator-prey diffusion model with time de-lays is investigated. It is shown that the system is uniformly persistent under some ap- propriate conditions, and sufficient conditions are obtained for the global stability of the positive equilibrium of the system.

关键词: Time delay, diffusion, uniform persistence, global asymptotic stability

Abstract:

A three-species ratio-dependent predator-prey diffusion model with time de-lays is investigated. It is shown that the system is uniformly persistent under some ap- propriate conditions, and sufficient conditions are obtained for the global stability of the positive equilibrium of the system.

Key words: Time delay, diffusion, uniform persistence, global asymptotic stability

中图分类号: 

  • 34D23