4.2 Article

SPATIAL ASPECT OF HUNTING COOPERATION IN PREDATORS WITH HOLLING TYPE II FUNCTIONAL RESPONSE

Journal

JOURNAL OF BIOLOGICAL SYSTEMS
Volume 26, Issue 4, Pages 511-531

Publisher

WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218339018500237

Keywords

Hunting Cooperation; Reaction-Diffusion Equations; Diffusion-Driven Instability; Spatial Pattern Formation

Funding

  1. Ministry of Human Resource and Development (MHRD-Grant), Government of India [OH-31-23-200-428]

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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 controlling 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 parameter in predators and carrying capacity of preys. The results focus on the effect of hunting cooperation 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 environments.

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