Dynamical Behaviour of Prey Predators Model with Time Delay
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Keywords:
Equilibrium points, Local stability, Global stability, Time delayAbstract
This paper describes a Prey and Two predators Ecological model. Continuous type gestational delay is incorporated in the interaction of Prey and first predator is taken for investigation. The system dynamics is studied at its equilibrium points. We construct a suitable Lyapunov function for global stability. The effect of Time delay on the dynamical behiviour of the system is studied. Using Numerical simulation, it is shown that the delay arguments with different kernels exhibit rich dynamics.
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