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This paper is to investigate the control problem of maximizing the netbenefit of a single species while the cost of the resource allocation isminimized in a population model which can be described by a reaction diffusionadvection equation of logistic type with spatial-temporal resource controlcoefficient. The existence of an optimal control is established and theuniqueness and characterization of the optimal control are investigated.Numerical simulation illustrate several cases with Dirichlet and Neumannboundary conditions.

Optimal resource control in reaction diffusion advection population model