Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (1): 15-28.

• Articles • Previous Articles     Next Articles

Analysis of A Diffusive Predator-prey Model with Disease and Holling II Functional Response

 WANG Fei, WANG Jing   

  1. School of Mathematics and Statistics, Northeast Normal University, Changchun
  • Received:2013-07-28 Revised:2014-11-21 Online:2015-02-25 Published:2015-02-25
  • About author: WANG Fei, WANG Jing

Abstract:

This paper is concerned with the dynamical behaviors of a diffusive predator-prey system with disease and Holling II functional response. We discuss the stability of the nonnegative constant steady states by using the characteristic equation technique and Laypunov functional method. Priori estimates for the system is given by inequality technique and Maximum Principle. Furthermore, we derive some results for the non-existence and existence of non-constant positive solution.

Key words: Predator-prey model , Reaction-diffusion ,  Disease ,  Holling II functional response

CLC Number: 

  • 35K57
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