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2012 Prevention of Influenza Pandemic by Multiple Control Strategies
Roman Ullah, Gul Zaman, Saeed Islam
J. Appl. Math. 2012: 1-14 (2012). DOI: 10.1155/2012/294275


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.


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Roman Ullah. Gul Zaman. Saeed Islam. "Prevention of Influenza Pandemic by Multiple Control Strategies." J. Appl. Math. 2012 1 - 14, 2012.


Published: 2012
First available in Project Euclid: 5 April 2013

zbMATH: 1263.92030
MathSciNet: MR3005191
Digital Object Identifier: 10.1155/2012/294275

Rights: Copyright © 2012 Hindawi


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