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Spatiotemporal dynamics of a delayed diffusive predator–prey model with hunting cooperation in predator and anti-predator behaviors in prey

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  • Li, Yan
  • Sun, Jianing

Abstract

In this paper, we investigate a delayed diffusive predator-prey model. It is assumed that the predators can cooperate to improve their hunting efficiency, and the prey can employ anti-predator mechanisms when facing with the predation. Also, considering the episodic-like spatial memory of the prey, we incorporate a delayed diffusion term into the reaction-diffusion model. Through the stability and bifurcation analysis, the spatial memory-based diffusion coefficient and the memory delay have important effects on the dynamics of the model and their combined impact can cause the destabilization of the positive constant steady state and give rise to steady state and Hopf bifurcations. We present our theories and study the effect of the fear level of prey and hunting cooperation of predator on pattern formation by taking numerical simulations.

Suggested Citation

  • Li, Yan & Sun, Jianing, 2025. "Spatiotemporal dynamics of a delayed diffusive predator–prey model with hunting cooperation in predator and anti-predator behaviors in prey," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005740
    DOI: 10.1016/j.chaos.2025.116561
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