"Backward Bifurcation in a Fractional Order Epidemiological Model" by Ahmed M. A. El-Sayed, Anas A. M. Arafa et al.

Progress in Fractional Differentiation & Applications

Article Title

Backward Bifurcation in a Fractional Order Epidemiological Model

Authors

Ahmed M. A. El-Sayed, Department of mathematics, Faculty of Science, Alexandria University, Alexandria, EgyptFollow
Anas A. M. Arafa
Mohamed Khalil
Amaal Sayed

Author Country (or Countries)

Egypt

Abstract

An epidemiological fractional order model which displays backward bifurcation for some parameters values, is studied in this paper. Because integer order of such model does not convey any information about the effect of the memory or learning mechanism of human population which influences disease transmission, we use the fractional order model in which the memory effect is considered well. As the fractional derivative is considered as the memory index, so the goal of this paper is to study the impact of fractional order derivative on the backward bifurcation phenomenon and on the basic reproduction number R0.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/030404

Recommended Citation

M. A. El-Sayed, Ahmed; A. M. Arafa, Anas; Khalil, Mohamed; and Sayed, Amaal (2017) "Backward Bifurcation in a Fractional Order Epidemiological Model," Progress in Fractional Differentiation & Applications: Vol. 3: Iss. 4, Article 4.
DOI: http://dx.doi.org/10.18576/pfda/030404
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol3/iss4/4

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