Abstract
In this paper, we study an optimal control problem for a generalized stochastic SIVR model as well as for the corresponding deterministic model. We consider two control strategies in the optimal control model, namely: the successful practice of non-pharmaceutical interventions and vaccination for susceptible strategies. The existence of optimal control in the deterministic case is proved and it is solved by using Pontryagins Maximum Principle. Moreover, the stochastic optimal control problem is discussed by using Dynamic programming approach and the results are obtained numerically through simulation using an approximation based on the solution of the deterministic model. Outputs of the simulations show that our control strategies play important role in the minimization of infectious population with minimum cost.
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