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Dynamics of Prey- Predator Model with Constant Effort Harvesting of Prey

Paparao. A. V , G A L Satyavathi, Sobhan Babu K


In this paper we investigate the constant effort harvesting effort of prey species in prey-predator model with holling type II functional response. The system is described by a system of ordinary differential equations. The boundedness properties, long term behaviour of the system, equilibrium points are identified. Local stability analysis is discussed at each of its equilibrium points. Global stability is studied by constructing suitable Lyapunov`s function. We proved that the system is both locally and globally asymptotically stable. Further Numerical simulation is performed and in support of analytical study.


prey-predator, local stability, global stability, Simulation.

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