Optimal Control Problem of Various Influenza Models with Some Constraints

초록

This study considers an optimal intervention strategy for influenza outbreaks. Variations in the SEIAR model are considered to include age structure and control strategies include vaccination, antiviral treatment, and social distancing such as school closures. We investigate an optimal control problem of a SIR reaction-diffusion system to derive an efficient vaccination strategy for influenza outbreaks. The control problem reflect realistic restrictions associated with limited total vaccination coverage and the maximum daily vaccine administration.