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Journal of Fisheries and Aquatic Science
Year: 2007  |  Volume: 2  |  Issue: 3  |  Page No.: 195 - 205

A Model for Prey-predator Fishery with Marine Reserve

T.K. Kar and U.K. Pahar    

Abstract: This research is devoted to the study of the dynamical behavior and harvesting problems of a prey-predator fishery, for which a protective patch is established for the prey species. Thresholds, equilibria and stabilities are determined for the system. The possibilities of existence of bionomic equilibrium is also discussed. The optimal harvesting policy is studied and the solution is derived in the equilibrium case by using Pontryagin`s maximal principle. Some numerical simulations are taken to illustrate the established results.

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