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Information Sciences Letters

Information Sciences Letters

Abstract

This paper elucidates an ecological model of a three-space food chain consists of two competing species and a third species, which is supporting the first competing species in non-linear manner of Holling type-II functional response and ingests the second competitive species in linear style, within the limited resources. This model is constituted by a system of non-linear decoupled first order ordinary differential equations. By using perturbed method, we investigate the local stability nature of the system at each possible equilibrium point. Further, the numerical illustrations at suitable parametric values to the model are presented by observing the species survivalness in nature for long time.

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