Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (1): 217-226.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 35J55
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