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Optimal Control of a Harvested Prey-Predator System Through Provision of Alternative Food to Predator
Abstract
In the present paper I study the exploitation of a prey-predator system reflecting the dynamic interaction between the net economic revenue and the fishing effort used to harvest the prey species in the presence of taxation as a control instrument. In this model the predator species is provided a source of alternative food. I have analyzed the boundedness of the system, existence of interior equilibrium and discussed local as well as global stabilities at interior equilibrium of the system. The optimal taxation policy is determined with the help of Pontryagin’s maximal principle. Finally results are illustrated with the help of numerical simulations
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