The Fractional SIRC Model and Influenza A | Zendy

Moustafa El-Shahed | Zendy; Ahmed Alsaedi | Zendy

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The Fractional SIRC Model and Influenza A

Author(s) -

Moustafa El-Shahed,

Ahmed Alsaedi

Publication year - 2011

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2011/480378

Subject(s) - basic reproduction number , mathematics , stability (learning theory) , equilibrium point , population , epidemic model , population model , exponential stability , differential equation , order (exchange) , mathematical economics , computer science , mathematical analysis , physics , medicine , environmental health , economics , finance , nonlinear system , quantum mechanics , machine learning

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.

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