"On Dynamics of a Fractional-Order SIRS Epidemic Model with Standard In" by Ahmed M. Yousef, Saad Z. Rida et al.

Progress in Fractional Differentiation & Applications

Article Title

On Dynamics of a Fractional-Order SIRS Epidemic Model with Standard Incidence Rate and its Discretization

Authors

Ahmed M. Yousef, Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt
Saad Z. Rida
Yassein Gh. Gouda
Asmaa S. Zaki

Author Country (or Countries)

Egypt

Abstract

In this work, we study the dynamics of fractional-order SIRS epidemic model with standard incidence rate and its discretization. It is shown that the discretized system exhibits much richer dynamical behaviors than its corresponding fractional-order form. Local stability of the fractional-order model is studied. Also, many types of bifurcation have been obtained. Numerical simulations are carried out to verify theoretical results obtained.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/050405

Recommended Citation

M. Yousef, Ahmed; Z. Rida, Saad; Gh. Gouda, Yassein; and S. Zaki, Asmaa (2019) "On Dynamics of a Fractional-Order SIRS Epidemic Model with Standard Incidence Rate and its Discretization," Progress in Fractional Differentiation & Applications: Vol. 5: Iss. 4, Article 4.
DOI: http://dx.doi.org/10.18576/pfda/050405
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol5/iss4/4

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