Optimal control for a two-sidedly degenerate aggregation equation

In this paper, we are concerned with the study of mathematical analysis for an optimal control a nonlocal degenerate aggregation model. This model describes organisms such as pedestrian movements, chemotaxis, animal swarming. We establish wellposedness (existence and uniqueness) weak solution direct problem by means auxiliary nondegenerate equation, Faedo–Galerkin method (for existence result) duality uniqueness). Moreover, adjoint problem, prove result minimizers first-order necessary conditions. The main novelty work concerns presence to our Our results complemented some numerical simulations.