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On Dynamics of a Fractional-Order SIRS Epidemic Model with Standard Incidence Rate and its Discretization |
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PP: 297-306 |
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doi:10.18576/pfda/050405
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Author(s) |
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Ahmed M. Yousef,
Saad Z. Rida,
Yassein Gh. Gouda,
Asmaa S. Zaki,
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Abstract |
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| 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.
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