Uniqueness of the optimal control for a Lotka-Volterra control problem with a large crowding effect
In this work we present some of the main results obtained in [1], [2], [3], related to the existence of nonnegative and nontrivial solutions of nonlinear elliptic systems arising from population dynamics.
Uniqueness of the optimal control is obtained by assuming certain conditions on the crowding effect of the species. Moreover, an approximation procedure for the unique optimal control is developed.
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