Journal
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Volume 29, Issue 4, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127419500494
Keywords
Herd behavior; mortality; reaction-diffusion equations; diffusive instability; Turing patterns
Funding
- Ministry of Human Resource and Development (MHRD), Government of India [OH-31-23-200-428]
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In this paper, we have investigated a diffusive predator-prey model with herd behavior. Also, we considered that the mortality of predators is linear as well as quadratic. 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 non-Turing spatiotemporal patterns in the model with linear mortality of predators, and Turing pattern formation, namely, spotted pattern and mixed pattern (spots-stripes) in model with quadratic mortality of predators. The results focus on the effect of the changing mortality rates of predator in pattern dynamics of a diffusive predator-prey model and help us in the better understanding of the dynamics of the predator-prey interaction in real environment.
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