Stability of a Predator-Prey Model with Modified Holling-Type II Functional Response

  • Jia Liu
  • Hua Zhou
  • Kai-yu Tong
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7390)


A predator-prey model with modified Holling-Type II functional response under Neumann boundary condition is proposed. We show that under some conditions the cross-diffusion can induce the Turing instability of the uniform equilibrium, which is stable for the kinetic system and for the self-diffusion reaction system. Also, the numerical simulation is given in this paper, and verifying the result of the paper is correct.


Turing instability self-diffusion cross-diffusion predator-prey 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Jia Liu
    • 1
  • Hua Zhou
    • 1
  • Kai-yu Tong
    • 1
  1. 1.School of Mathematics and PhysicsChangzhou UniversityChangzhouChina

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