Optimal Control for Virus Spreading: Analytical and Numerical Results

Student: Klimenkova Olga

Faculty: HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE)

Educational Programme: Applied Mathematics (Bachelor)

Year of Graduation: 2016

In this work, optimal control problem for a SIR model with variable size of population is considered. Our goal is to solve a problem of costs minimization. We investigate a SIR model with "vaccination" and "treatment" as controls. We consider three different functional and discuss their characteristics. Structures of optimal control are defined for every functional. Pontryagin’s maximum principle is used to characterize the optimal levels of controls. The optimality system is solved numerically. Then we analyze the dependence of solutions on parameter of problems. The simulation results are discussed.

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