The Fractional SIRC Model and Influenza A

This paper deals with the fractional-order SIRC model associated with the evolution of influenza A disease in human population. Qualitative dynamics of the model is determined by the basic reproduction number, R0. We give a detailed analysis for the asymptotic stability of disease-free and positive...

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Bibliographic Details
Published in:Mathematical Problems in Engineering 2011-01, Vol.2011 (2011), p.424-432-126
Main Authors: El-Shahed, Moustafa, Alsaedi, Ahmed
Format: Article
Language:English
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Summary:This paper deals with the fractional-order SIRC model associated with the evolution of influenza A disease in human population. Qualitative dynamics of the model is determined by the basic reproduction number, R0. We give a detailed analysis for the asymptotic stability of disease-free and positive fixed points. Nonstandard finite difference methods have been used to solve and simulate the system of differential equations.
ISSN:1024-123X
1563-5147
DOI:10.1155/2011/480378