The Fractional SIRC Model and Influenza A-Reference-Cited by-同舟云学术

The Fractional SIRC Model and Influenza A

Published:2011 Issue: Volume:2011 Page:1-9
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

El-Shahed Moustafa¹²,Alsaedi Ahmed²

Affiliation:

1. Department of Mathematics, Faculty of Art and Sciences, Qassim University, P.O. Box 3771, Qassim, Unizah 51911, Saudi Arabia

2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

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, . 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.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2011/480378.pdf

Reference18 articles.

1. Variation of Influenza A, B, and C Viruses

2. The SIRC model and influenza A

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