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Structure and Stability of Steady State Bifurcation in a Cannibalism Model with Cross-Diffusion

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  • Meijun Chen
  • Shengmao Fu

Abstract

This paper deals with spatial patterns of a predator-prey crossdiffusion model with cannibalism. By applying the asymptotic analysis and Rabinowitz bifurcation theorem, we consider the local structure of steady state to the model and determine an explicit formula of the nonconstant steady state. Furthermore, the criteria of the stability/instability for the steady state with small amplitude are established.

Suggested Citation

  • Meijun Chen & Shengmao Fu, 2020. "Structure and Stability of Steady State Bifurcation in a Cannibalism Model with Cross-Diffusion," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-13, July.
    • Handle: RePEc:hin:jnlmpe:2969713
    DOI: 10.1155/2020/2969713
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