Multiple control strategies for prevention of avian influenza pandemic.
We present the prevention of avian influenza pandemic by adjusting multiple control functions in the human-to-human transmittable avian influenza model. First we show the existence of the optimal control problem; then by using both analytical and numerical techniques, we investigate the cost-effective control effects for the prevention of transmission of disease. To do this, we use three control functions, the effort to reduce the number of contacts with human infected with mutant avian influenza, the antiviral treatment of infected individuals, and the effort to reduce the number of infected birds. We completely characterized the optimal control and compute numerical solution of the optimality system by using an iterative method.
Department of Mathematics, Bacha Khan University, Charsadda 24420, Pakistan ; Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan.
Roman
R
Ullah
Department of Mathematics, University of Malakand, Chakdara 23101, Pakistan.
Gul
G
Zaman
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan.
Saeed
S
Islam
D000818:Animals; D001717:Birds / Q000821:virology; D006801:Humans; D005585:Influenza in Birds / Q000453:epidemiology* / Q000635:transmission; D008954:Models, Biological; D058873:Pandemics / Q000517:prevention & control*