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Optimal birth control problems for nonlinear age-structured population dynamics

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  • We study the least cost-size problem and the least cost-deviation problem for a nonlinear population model with age-dependence, which takes fertility rate as the control variable. The existence of a unique optimal control and the optimality conditions of first order are investigated by means of Ekeland's variational principle and normal cone technique. Our conclusion extends a known result in the literature.
    Mathematics Subject Classification: 92D25, 49J20, 65L70.

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