Title :
Optimal antiviral treatment strategies for the control of pandemic influenza
Author_Institution :
Sch. of Math. Sci., Univ. of Electron. Sci. & Technol. of China, Chengdu, China
Abstract :
This paper discusses an optimal antiviral treatment strategy for the outbreak of influenza. The optimal control problem is formulated by minimizing the number of infected individuals at a minimal intervention cost. The existence of an optimal solution for the control problem is proved. In addition, with the Pontryagin´s Maximum Principle, the time-varying optimal strategy of antiviral treatment is obtained.
Keywords :
diseases; maximum principle; patient treatment; Pontryagin maximum principle; influenza outbreak control; optimal antiviral treatment strategy; optimal control; pandemic influenza control; time-varying optimal strategy; Drugs; Equations; Influenza; Mathematical model; Optimal control; Strain; Vaccines; Optimal control theory; Pontryagin´s Maximum Principle; antiviral treatment; pandemic influenza;
Conference_Titel :
Wavelet Active Media Technology and Information Processing (ICCWAMTIP), 2014 11th International Computer Conference on
Print_ISBN :
978-1-4799-7207-4
DOI :
10.1109/ICCWAMTIP.2014.7073427
