Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (6): 1578-1586.

• Articles • Previous Articles     Next Articles

Positive Solutions of the Predator-Prey Model with Diffusion and Cross Diffusion

 LI Bo, LIU Han   

  1. School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu |Xuzhou 221116
  • Received:2012-10-08 Revised:2014-04-06 Online:2014-12-25 Published:2014-12-25
  • Supported by:

    国家自然科学基金项目 (11171286)和江苏师范大学数学与统计学院学科建设经费科学研究项目(SXKYA1106)资助

Abstract:

In this paper, the three-species predator-prey model with diffusion and cross-diffusion is discussed. By applying the
method of upper and lower solutions, the existence of positive solutions of this model is obtained. And then the
non-existence of positive solutions of the model is considered.

Key words: Predator-prey model, Upper and lower solution, Positive solutions, Cross diffusion

CLC Number: 

  • 35J55
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