What is it about?
We explore how behavioural modification in prey species due to fear of predator and mutual interference between predators can create different spatiotemporal patterns in population distribution. We also demonstrated how variation in prey refuge affects pattern formation.
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Why is it important?
Prey demography is observed to reduce significantly due to the cost of antipredator responses. Mutual interference between predators is a frequently observed behavioural response of the predator. It is important to know (i) how behavioural modification in prey species due to fear of predator and mutual interference between predators can create different spatiotemporal patterns in population distribution, (ii) whether the stabilizing characteristic of refuge in the temporal system persists in the spatiotemporal system.
Perspectives
It is shown that when prey diffusivity is low, then prey remains concentrated at different patches throughout the domain. How- ever, prey density becomes low at the patches as they disperse at a higher rate. Mixed and stripe patterns are observed during this transition from a hot spot pattern at the lower prey diffusivity to a cold spot pattern at the higher prey diffusivity. Pattern transition is, however, opposite if the antipredator behavior is gradually increased. The stability preserving characteristic of refuge is retained in the reaction–diffusion system. Furthermore, our simulation results reveal that the chaotic pattern of the Hopf–Turing region may be shifted to spot type pattern of the Turing region depending on the refuge level of the habitat.
Prof. Nandadulal Bairagi
Jadavpur University
Read the Original
This page is a summary of: Diffusion-induced regular and chaotic patterns in a ratio-dependent predator–prey model with fear factor and prey refuge, Chaos An Interdisciplinary Journal of Nonlinear Science, March 2021, American Institute of Physics,
DOI: 10.1063/5.0035130.
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