SIAM Journal on Control and Optimization, Vol.54, No.2, 495-535, 2016
OPTIMAL CONTROLS FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH AN APPLICATION IN POPULATION MODELING
An optimal control problem for a system of stochastic partial differential equations with nonlocal terms is considered. The control of this system is motivated by a model for optimal harvesting of a population on a spatial grassland habitat. Existence of optimal controls and necessary conditions for the optimal control of such systems are established.
Keywords:stochastic partial differential equations;optimal control;population model;necessary conditions