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- W3208108334 abstract "• The cross-diffusive predator-prey model with the inclusion of prey refuge is formulated. • A brief re-examination of different dynamical properties corresponding to its temporal counterpart is performed. • The stability analyses of the cross-diffusive system along with Turing space are carried out successfully. • Special emphasis is paid on the impact of prey refuge in the cross-diffusive system to observe how the growth of the interacting species gets substantially perturbed. • The emergence of spatial patterns based on numerical simulations is pointed out. • Conclusions are drawn from several numerical outcomes of the proposed model. The present study appertains to a reaction-diffusion system embracing two-dimensional continuous Beddington-DeAngelis predator-prey model incorporating intra-specific competition among predators and prey refuge in proportion to both the species as well. The existence of all conceivable ecologically significant equilibria is explored and consequently the diffusion-driven instability around the coexistence equilibrium position is reviewed. Numerical simulation with zero-flux boundary conditions discloses that the system under consideration experiences the occurrence of diffusion-driven instability. The dynamical system in Turing space emerges further to get influenced by prey refuge while it unveils diffusion controlled spatiotemporal pattern formation namely, growth of spots, stripe-spot mixtures, stripes, labyrinthine, stripe-hole mixtures and holes reproduction. The quantitative analysis reveals that the interaction of both self- and cross-diffusion plays a significant role on the pattern formation of the present system in a way to enrich the pattern at a greater height." @default.
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- W3208108334 date "2021-12-01" @default.
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- W3208108334 title "Cross-diffusion-driven instability in an interacting species model with prey refuge" @default.
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- W3208108334 doi "https://doi.org/10.1016/j.chaos.2021.111501" @default.
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