Optimal Control of Infectious Diseases via Vaccination, Quarantine and Treatment: A Theoretical Approach

Abstract

The focus of this paper is to examine the problem of controlling spread of infectious diseases through the use of Vaccines, quarantine and Treatment. Through the use of Pontryagin’s maximum principle, we were able to ascertain the existence of the control systems. We also apply optimal control theory to minimizing the spread of infection in a population; the optimality was measured by the minimization of the probability of infectious individuals and maximization of the recovered individuals.