Multiple control strategies for prevention of avian influenza pandemic. 2014

Roman Ullah, and Gul Zaman, and Saeed Islam
Department of Mathematics, Bacha Khan University, Charsadda 24420, Pakistan ; Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan.

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.

UI MeSH Term Description Entries
D008954 Models, Biological Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment. Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D005585 Influenza in Birds Infection of domestic and wild fowl and other BIRDS with INFLUENZA A VIRUS. Avian influenza usually does not sicken birds, but can be highly pathogenic and fatal in domestic POULTRY. Avian Flu,Avian Influenza,Fowl Plague,Influenza, Avian,Avian Influenzas,Flu, Avian,Influenza in Bird,Influenzas, Avian,Plague, Fowl
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000818 Animals Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA. Animal,Metazoa,Animalia
D001717 Birds Warm-blooded VERTEBRATES possessing FEATHERS and belonging to the class Aves. Aves,Bird
D058873 Pandemics Epidemics of infectious disease that have spread to many countries, often more than one continent, and usually affecting a large number of people. Pandemic

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