Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (3): 475-488.

• Articles • Previous Articles     Next Articles

Stability Analysis for a Predator-Prey System with Nonlocal Delayed Reaction-diffusion Equations

 LI Yu-Huan1, ZHOU Jun2,3, MU Chun-Lai2   

  1. 1.College of Mathematics and Software, Sichuan Normal University, Chengdu 610066;2.College of Mathematics and Statistics, Chongqing University, Chongqing 400044;3.School of Mathematics and Statistics, Southwest University, Chongqing 400715
  • Received:2010-10-11 Revised:2012-03-01 Online:2012-06-25 Published:2012-06-25
  • Supported by:

    国家自然科学基金(11126141, 11001189, 11071266)、重庆市自然科学基金(2010BB9218)、西南大学博士基金(SWU111021)和西南大学教育教学改革研究项目(2010JY053) 资助

Abstract:

In this paper, we consider a nonlocal delayed reaction-diffusion equation due to the gestation of the predator and homogeneous Neumann boundary conditions. By using the linearization method and the method of upper and lower solutions, we study the local and global stability of the constant equilibrium, respectively.

Key words: Nonlocal delayed reaction-diffusion equations, Global stability,  Upper and lower solutions

CLC Number: 

  • 35J55
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