"On a Discretized Fractional-Order SIR Model for Inﬂuenza A Viruses" by Sanaaa Moussa Salman

Progress in Fractional Differentiation & Applications

Article Title

On a Discretized Fractional-Order SIR Model for Inﬂuenza A Viruses

Authors

Sanaaa Moussa Salman, Faculty of Education, Alexandria University, Alexandria, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In the present work, a discretized fractional-order SIR model for an Inﬂuenza A viruses is derived. The basic reproductive number R0 is deﬁned and the dynamic behavior of the discretized model is investigated. Local stability of both the disease free equilibrium and the endemic equilibrium is investigated. Equations and inequalities of critical bifurcation surfaces at the disease free equilibrium are given. Numerical simulations are performed to assure the analytical results obtained and to reveal the complex dynamics of the discretized model.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/030207

Recommended Citation

Moussa Salman, Sanaaa (2017) "On a Discretized Fractional-Order SIR Model for Inﬂuenza A Viruses," Progress in Fractional Differentiation & Applications: Vol. 3: Iss. 2, Article 7.
DOI: http://dx.doi.org/10.18576/pfda/030207
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol3/iss2/7

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