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A Discrete Model of Three Species Prey- Predator System

A.George Maria Selvam, R.Janagaraj and P. Rathinavel

This paper investigates an eco-system with two prey species and a predator. The model equations constitute a set of three first order non-linear coupled difference equations. All possible positive equilibrium points of the model are computed and criteria for the stability of all equilibrium states are established. Simulations are performed in order to illustrate the theoretical results and gain further insight into the behaviour of the system

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