数学物理学报 ›› 2010, Vol. 30 ›› Issue (1): 217-226.

• 论文 • 上一篇    下一篇

一类具有扩散的捕食模型的共存解

李波, 王鲁欣   

  1. 徐州师范大学数学科学学院 江苏徐州
  • 收稿日期:2008-09-06 修回日期:2009-10-09 出版日期:2010-01-01 发布日期:2010-01-01

Coexistence States of a Prey-predator Model with Diffusion

LI Bo, WANG Lu-Xin   

  1. School of Mathematical Science, Xuzhou Normal University, Jiangsu Xuzhou 221116
  • Received:2008-09-06 Revised:2009-10-09 Online:2010-01-01 Published:2010-01-01

摘要:

该文讨论了具有扩散的捕食模型. 利用上下解方法和分支理论, 得到了椭圆系统的共存解的存在性, 并且讨论了共存解的稳定性.

关键词: 捕食模型, 共存解, 分支, 主特征值

Abstract:

This paper deals with a prey-predator model with diffusion. The coexistence states of the elliptic system are given by using upper and lower solutions method and bifurcation theory. And the stability of coexistence states is also considered. 

Key words: Prey-predator model, Coexistence states, Bifurcation, Principal eigenvalue

中图分类号: 

  • 35J55