Stability analysis and optimal harvesting policy of prey-predator model with stage structure for predator

Abstract

In this paper, we study a prey-predator model with stage structure for predator and constant harvesting efforts of the prey and predator population. The existence and stability of interior equilibrium point are analyzed. The maximum profit problem is solved and optimal harvesting policy of present value of revenue is solved using Pontryagin???s maximum principle. From the analysis, there exists a critical value of the efforts that maximizes the profit and the present value of the revenue and the equilibrium point is also remain stable. Finally, numerical examples are given.

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