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

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Part of the Lecture Notes in Computer Science book series (LNAI,volume 7390)

Abstract

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.

Keywords

  • Turing instability
  • self-diffusion
  • cross-diffusion
  • predator-prey

The work is partially supported by PRC grant NSFC (11071209) and “Blue Project” of Jiangsu Province.

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© 2012 Springer-Verlag Berlin Heidelberg

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Liu, J., Zhou, H., Tong, Ky. (2012). Stability of a Predator-Prey Model with Modified Holling-Type II Functional Response. In: Huang, DS., Ma, J., Jo, KH., Gromiha, M.M. (eds) Intelligent Computing Theories and Applications. ICIC 2012. Lecture Notes in Computer Science(), vol 7390. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31576-3_19

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  • DOI: https://doi.org/10.1007/978-3-642-31576-3_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31575-6

  • Online ISBN: 978-3-642-31576-3

  • eBook Packages: Computer ScienceComputer Science (R0)