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

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.Bachelor of Scienc