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Dynamics of species in a two preys one predator model system with help

N. Ali, B. Mondal, L. N. Guin, S. Chakravarty

Abstract



Of concern in the present investigation is to develop a three species food web model consisting of two teams of preys interacting with one team of predator with the assumption that during predation the members of both teams of preys help each other. The intra-specific competition among predator population is accounted for in the proposed model. Besides the logistic growth rate for both the prey species, Holling-type II functional response for predation is chosen for the model formulation. The behaviour of the model system is thoroughly analysed near the biologically significant equilibria. The linear stability analysis of the equilibria is carried out in order to examine the response of the system. The present model system experiences Hopf bifurcation depending on the choice of suitable model parameters. Extensive numerical simulation reveals the validity of the proposed model so as to indicate the ecological implications.

Keywords


Two prey one predator model; Intra-specific competition; Coexistence state; Stability; Hopf-bifurcations.

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