Acta mathematica scientia,Series A

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Positive Solutions to a Three-species Predator-prey Model

Chen Bin; Wang Minxing

  

  1. (School of Mathematics, Yancheng Teachers College, Yancheng 224051)

  • Received:2006-12-27 Revised:2008-06-10 Online:2008-12-25 Published:2008-12-25
  • Contact: Chen Bin

Abstract:

This paper is concerned with a diffusive three-species predator-prey model
subject to the homogeneous Dirichlet boundary condition. Using the local and global bifurcation theory, the existence, mniqueness, stability and multiplicity of positive solutions are obtained.

Key words: Predator-prey model positive solutions, Bifurcation, uniqueness, Stability,
Multiplicity

CLC Number: 

  • 35J55
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