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A note on the use of optimal control on a discrete time model of influenza dynamics. (English) Zbl 1259.92075
Summary: A discrete time susceptible-asymptomatic-infectious-treated-recovered (SAITR) model is introduced in the context of influenza transmission. We evaluate the potential effect of control measures, such as social distancing and antiviral treatment, on the dynamics of a single outbreak. Optimal control theory is applied to identify the best way of reducing morbidity and mortality at a minimal cost. The problem is solved by using a discrete version of Pontryagin’s maximum principle. Numerical results show that dual strategies have stronger impact in the reduction of the final epidemic size.
MSC:
92C60Medical epidemiology
49N90Applications of optimal control and differential games