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Application of Homotopy Analysis Method to a Three Species Ecological Model

A.V. Paparao, K. Lakshmi Narayan, Bathul Shahnaz

Abstract


In this paper, the problem of a three species Ecological Model with a Prey, Predator and a Competitor to the predator (competes only for the alternate food other than prey) without affecting the prey species is considered. Mathematical modeling of the problem leads to system of first order non linear differential equations The Homotopy analysis method (HAM) is employed to solve the system of equations and results are supported by numerical simulations.

Keywords


HAM, system of nonlinear differential equations, auxiliary parameter h,

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