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Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Olga Klimenkova
Optimal Control for Virus Spreading: Analytical and Numerical Results
Applied Mathematics
(Bachelor’s programme)
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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