Abstract

In this work we proposed a three species ecological model with a prey, predator and competitor. Distributed type of delay is incorporated in the interaction of prey and competitor species is taken for investigation. The system dynamics is studied at its interior equilibrium point with exponential type of delay kernel. The effect of Time delay on the dynamical behavior of the system is studied using Numerical simulation. It is observed that Hopf bifurcation exist for the system for different kernel strengths.

Keywords and Phrases

Co-existing state, local stability, global stability, Time delay, hopf bifurcation.

A.M.S. subject classification

54A05.

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