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