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Patterns of a superdiffusive consumer-resource model with hunting cooperation functional response

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  • Djilali, Salih
  • Cattani, Carlo

Abstract

In nature, the consumers (predator) use many strategies for hunting the resources (prey). The hunting cooperation is an effective strategy for the consumers for giving more accuracy to the hunting. This strategy works on perturbing the resources for facilitating the hunting. In this paper, we are concerned to analyze a superdiffusive resource-consumer system with hunting cooperation functional response. The presence of supperdiffusion represents the effect of the fear of the resources and the organized hunting strategy of the consumer. In fact, the effect of the superdiffusion is successfully established, where it is shown that the superdiffusion undergoes a complex patterns. Also, it noticed that the investigated system has a complex patters as Hopf bifurcation (HB), Turing bifurcation (TB), and Turing-Hopf bifurcation (THB). Furthermore, the super-diffusion can influence the stability of some equilibria. The obtained results are tested numerically.

Suggested Citation

  • Djilali, Salih & Cattani, Carlo, 2021. "Patterns of a superdiffusive consumer-resource model with hunting cooperation functional response," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    • Handle: RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006123
    DOI: 10.1016/j.chaos.2021.111258
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    References listed on IDEAS

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    1. Ryu, Kimun & Ko, Wonlyul, 2019. "Asymptotic behavior of positive solutions to a predator–prey elliptic system with strong hunting cooperation in predators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 531(C).
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    6. Djilali, Salih & Ghanbari, Behzad & Bentout, Soufiane & Mezouaghi, Abdelheq, 2020. "Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
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    Cited by:

    1. Ye, Yong & Zhao, Yi & Zhou, Jiaying, 2022. "Promotion of cooperation mechanism on the stability of delay-induced host-generalist parasitoid model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    2. Tian, Yuan & Li, Huanmeng & Sun, Kaibiao, 2024. "Complex dynamics of a fishery model: Impact of the triple effects of fear, cooperative hunting and intermittent harvesting," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 218(C), pages 31-48.

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