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Stability and spatiotemporal dynamics of a diffusive predator–prey system with generalist predator and nonlocal intraspecific competition

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  • Yang, Feng
  • Song, Yongli

Abstract

In this paper, we investigate the influence of the nonlocal intraspecific competition on the stability and spatiotemporal dynamics for a diffusive predator–prey system with generalist predator. The stability region and the possible bifurcation curves are determined in the plane consisting of diffusion coefficients of the prey and the predator. Spatially inhomogeneous steady states with different spatial profiles and spatially inhomogeneous periodic solutions with mode-1 as the parameters are varied across the boundaries of the stability region.

Suggested Citation

  • Yang, Feng & Song, Yongli, 2022. "Stability and spatiotemporal dynamics of a diffusive predator–prey system with generalist predator and nonlocal intraspecific competition," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 159-168.
    • Handle: RePEc:eee:matcom:v:194:y:2022:i:c:p:159-168
    DOI: 10.1016/j.matcom.2021.11.013
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    References listed on IDEAS

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    1. Merchant, Sandra M. & Nagata, Wayne, 2011. "Instabilities and spatiotemporal patterns behind predator invasions with nonlocal prey competition," Theoretical Population Biology, Elsevier, vol. 80(4), pages 289-297.
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    Cited by:

    1. Yang, Youwei & Wu, Daiyong & Shen, Chuansheng & Lu, Fengping, 2023. "Allee effect in a diffusive predator–prey system with nonlocal prey competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
    2. Yimamu Maimaiti & Wang Zhang & Ahmadjan Muhammadhaji, 2023. "Stationary Pattern and Global Bifurcation for a Predator–Prey Model with Prey-Taxis and General Class of Functional Responses," Mathematics, MDPI, vol. 11(22), pages 1-21, November.

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    2. Yang, Youwei & Wu, Daiyong & Shen, Chuansheng & Lu, Fengping, 2023. "Allee effect in a diffusive predator–prey system with nonlocal prey competition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 615(C).
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