Stability Analysis of prey-Predator Model with Constant Harvesting of Prey Species.
Abstract
We studied the stability analysis of prey-predator model with constant harvesting of prey-species. The basic mathematical model is described by the couple of differential equation. The Holling type function -II response is included in the prey-predator interaction. The well posed ness of the model is explored. The bounded ness property and persistence is also addressed. The local stability analysis is studied at all equilibrium points. The global dynamics is also studied and shown that the system is asymptotically stable. Further numerical simulation is executed in support of stability analysis.
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