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Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey

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  • Honglan Zhu
  • Xuebing Zhang

Abstract

We study a diffusive prey-predator system with a group defense for prey. Under Neumann boundary condition, we analyze local and stability of nonnegative constant steady states and the existence and nonexistence of nonconstant steady states. These results also exhibit the critical role of the system parameters leading to the formation of spatiotemporal patterns.

Suggested Citation

  • Honglan Zhu & Xuebing Zhang, 2018. "Dynamics and Patterns of a Diffusive Prey-Predator System with a Group Defense for Prey," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-9, January.
    • Handle: RePEc:hin:jnddns:6519696
    DOI: 10.1155/2018/6519696
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    Cited by:

    1. Djilali, Salih, 2019. "Impact of prey herd shape on the predator-prey interaction," Chaos, Solitons & Fractals, Elsevier, vol. 120(C), pages 139-148.
    2. Bentout, Soufiane & Djilali, Salih & Kumar, Sunil, 2021. "Mathematical analysis of the influence of prey escaping from prey herd on three species fractional predator-prey interaction model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

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