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Spatial Patterns Dynamics Of A Diffusive Predator–Prey System With Cooperative Behavior In Predators

Author

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  • TEEKAM SINGH

    (Department of Mathematics, Graphic Era Hill University, Dehradun 248002, Uttarakhand, India)

  • RAMU DUBEY

    (Department of Mathematics, J. C. Bose University of Science and Technology, YMCA, Faridabad 121006, Haryana, India)

Abstract

Cooperative behavior is an extensive mechanism in nature, and seen in several organisms, from bacterial cells to primates. In this paper, we have investigated a spatial predator–prey model with hunting cooperation in predators. Using linear stability analysis, we obtain the condition for diffusive instability and identify the corresponding domain in the space of control parameters. Using extensive numerical simulations, we obtain complex patterns, namely, spotted pattern, stripe pattern and mixed pattern in the Turing domain, by varying the hunting cooperation rate in predators and ratio of diffusion coefficient. The results focus on the effect of hunting cooperation rate in pattern dynamics of a diffusive predator–prey model and help us in better understanding of the dynamics of the predator–prey interaction in real environment.

Suggested Citation

  • Teekam Singh & Ramu Dubey, 2021. "Spatial Patterns Dynamics Of A Diffusive Predator–Prey System With Cooperative Behavior In Predators," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(04), pages 1-13, June.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:04:n:s0218348x21500857
    DOI: 10.1142/S0218348X21500857
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    Cited by:

    1. Shivam, & Singh, Kuldeep & Kumar, Mukesh & Dubey, Ramu & Singh, Teekam, 2022. "Untangling role of cooperative hunting among predators and herd behavior in prey with a dynamical systems approach," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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