Prevention of Influenza Pandemic by Multiple Control Strategies. (20th December 2012)

• Record Type: Journal Article
• Authors: Ullah, Roman; Zaman, Gul; Islam, Saeed
• Other Names: Wei Junjie Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2012(2012)
• Publication Date: 2012-12-20
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2012/294275
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : We present the prevention of 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 transmission of 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.