Optimal control of an epidemic model with inclusion of game theory in vaccination

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  • May 4, 2021
Creator
  • Wang, Wenzhong
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Abstract
  • An SIR epidemic model is expanded to include a game theory characterization of changes in human vaccination acceptance. Using the vaccination capacity as a control, we apply optimal control theory to the model and minimize the infected population and social cost simultaneously. We conduct numerical simulations and analyze different scenarios to control COVID-19. Numerical results suggest that the scenario with an optimal control on vaccination capacity may offer a feasible approach for eliminating the epidemic with minimal cost and time. We give a specific vaccination plan based on the optimal control scenario.
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  • In Copyright
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  • All rights reserved
Advisor
  • Jones, Christopher
    • Affiliation: College of Arts and Sciences, Department of Mathematics
Degree
  • Bachelor of Science
Graduation year
  • 2021
Language
  • English

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