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Optimal harvesting in an age-structured predator-prey model. (English) Zbl 1102.49014

Summary: We investigate optimal harvesting control in a predator-prey model in which the prey population is represented by a first-order partial differential equation with age-structure and the predator population is represented by an ordinary differential equation in time. The controls are the proportions of the populations to be harvested, and the objective functional represents the profit from harvesting. The existence and uniqueness of the optimal control pair are established.

MSC:

49K20 Optimality conditions for problems involving partial differential equations
35F20 Nonlinear first-order PDEs
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