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Prevention of influenza pandemic by multiple control strategies. (English) Zbl 1263.92030

Summary: We present the prevention of an influenza pandemic by using multiple control functions. First, we adjust the control functions in the pandemic model, then we show the existence of the optimal control problem, and, by using both analytical and numerical techniques, we investigate cost-effective control effects for the prevention of the transmission of the disease. To do this, we use four control functions, the first one for increasing the effect of vaccination, the second one for the strategies to isolate infected individuals, and the last two for the antiviral treatment to control clinically infectious and hospitalization cases, respectively. We completely characterized the optimal control and compute the numerical solution of the optimality system by using an iterative method.

MSC:

92C60 Medical epidemiology
49N90 Applications of optimal control and differential games
65K10 Numerical optimization and variational techniques
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