Deterministic and Stochastic Optimal Control Analysis of an SIR Epidemic model
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چکیده
This paper considers a optimal control analysis of a non -linear dynamical system of linear quadratic control. It is shown the difference between the stochastic and deterministic control system and for the occurrence of symmetry breaking as a function of the noise is included to formulate the stochastic model. For the Deterministic optimal control problem existence of optimal control is proved and it is solved by using Pontryagins Maximum Principle. The stochastic optimal control problem is discussed by using Stochastic Maximum Principle and the results are obtained numerically through simulation. In order to solve the stochastic optimal control problem numerically, we use an approximation based on the solution of the deterministic model.
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