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Numerical Optimal Harvesting for a Periodic Age-Structured Population Dynamics with Logistic Term
Authors:Sebastian Ani?a  Viorel Arn?utu  R?zvan ?tef?nescu
Institution:1. Faculty of Mathematics , University “Al.I. Cuza,” and Institute of Mathematics “Octav Mayer,” , Ia?i, Romania sanita@uaic.ro;3. Faculty of Mathematics , University “Al.I. Cuza,” , Ia?i, Romania;4. Department of Mathematics and Computer Science, “Gr.T. Popa” , University of Medicine-Pharmacy , Ia?i, Romania
Abstract:We investigate an optimal harvesting problem for age-structured population dynamics with logistic term and periodic vital rates. We use first-order necessary optimality conditions in order to derive an algorithm to approximate the optimal harvesting effort. We present corresponding numerical experiments.
Keywords:Age-structured population dynamics  Logistic term  Numerical algorithm  Optimal harvesting  Optimality conditions  Periodic solutions  Periodic vital rates
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