Impacts of additional food on diffusion induced instabilities in a predator-prey system with mutually interfering predator

In this paper, diffusion driven pattern forming instabilities in a predator-prey system with mutually interfering predators described by the Beddington-DeAngelis type functional response, are investigated in the presence of additional food for predators. Conditions for Hopf, Turing and wave instabil...

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Bibliographic Details
Published inChaos, solitons and fractals Vol. 103; pp. 68 - 78
Main Authors Ghorai, Santu, Poria, Swarup
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2017
Subjects
Additional food
Bifurcation
Mutually interfering predators
Pattern formation
Bifurcation
Pattern formation
Additional food
Mutually interfering predators
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Summary:In this paper, diffusion driven pattern forming instabilities in a predator-prey system with mutually interfering predators described by the Beddington-DeAngelis type functional response, are investigated in the presence of additional food for predators. Conditions for Hopf, Turing and wave instabilities are investigate around the coexisting equilibrium point analytically. Numerical simulation results are presented to show different types of spot, stripe and their mixture patterns. Different spatial domains in the parameter space are plotted. The existence and non-existence of positive, non-constant, steady states of the reaction-diffusion model are established. It is observed that spatio-temporal pattern of a predator prey system can change significantly depending upon the parameters related to additional food. We can conclude from our study, that the reasons of appearance of different spatio-temporal patterns in the real life ecological systems may be due to variation of additional food.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2017.05.031