Optimal control for a nonlinear population dynamics problem

Albert Ouedraogo and Oumar Traore

Abstract: We consider a nonlinear age dependent and spatially structured population dynamics model. In this model the birth process is nonlocal and we investigate the existence of an optimal control which makes the density of the population as close as possible of some given density. After necessary optimality conditions in the case where the birth process is governed by the function $F(\alpha)=c\alpha^{2}/(b+\alpha^{2})$ are investigated.

Keywords: age dependent population dynamics; optimal control.

Classification (MSC2000): 49J20, 49K20, 92D25.

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