Optimal boundary control for a three-species periodic and competing population system with size-structure
The optimal boundary control for a three-species competing population system with size-structure and weighted-size is discussed.The existence of the optimal boundary control is proved by Mazur' theorem;the optimality system consisting of integral-partial differential equations and variational inequalities is obtained,and the necessary conditions of optimal control is provided.
size-structurecompetingperiodic population systemoptimal boundary controloptimality conditions