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Control problems of an age-dependent predator-prey system. (English) Zbl 1212.35485

Summary: This paper is concerned with optimal harvesting problems for a system consisting of two populations with age-structure and interaction of predator-prey. Existence and uniqueness of non-negative solutions to the system and the continuous dependence of solutions on control variables are investigated. Existence of optimal policy is discussed, optimality conditions are derived by means of normal cone and adjoint system techniques.

MSC:

35Q93 PDEs in connection with control and optimization
35B50 Maximum principles in context of PDEs
49J20 Existence theories for optimal control problems involving partial differential equations
49K20 Optimality conditions for problems involving partial differential equations
92D40 Ecology
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