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• W3136275717 abstract "This work addresses the optimal birth control problem for invasive species in a spatial environment. We apply the method of semigroups to qualitatively analyze a size-structured population model in which individuals occupy a position in a spatial environment. With insect population in mind, we study the optimal control problem which takes fertility rate as a control variable. With the help of adjoint system, we derive optimality conditions. We obtain the optimality conditions by fixing the birth rate on three different sets. Using Ekeland's variational principle, the existence, and uniqueness of optimal birth controller to the given population model which minimizes a given cost functional is shown. Outcomes of our article are new and complement the existing ones." @default.
• W3136275717 created "2021-03-29" @default.
• W3136275717 creator A5054178360 @default.
• W3136275717 creator A5067198101 @default.
• W3136275717 date "2021-03-15" @default.
• W3136275717 modified "2023-09-27" @default.
• W3136275717 title "Optimal Birth Control for a Size-Structured Population Model with Diffusion" @default.
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• W3136275717 hasPublicationYear "2021" @default.
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