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The Fractional SIRC Model and Influenza A

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  • Moustafa El-Shahed
  • Ahmed Alsaedi

Abstract

This paper deals with the fractional-order SIRC model associated with the evolution of influenza A disease in human population. Qualitative dynamics of the model is determined by the basic reproduction number, ð ‘… 0 . We give a detailed analysis for the asymptotic stability of disease-free and positive fixed points. Nonstandard finite difference methods have been used to solve and simulate the system of differential equations.

Suggested Citation

  • Moustafa El-Shahed & Ahmed Alsaedi, 2011. "The Fractional SIRC Model and Influenza A," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-9, November.
  • Handle: RePEc:hin:jnlmpe:480378
    DOI: 10.1155/2011/480378
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    Cited by:

    1. Ullah, Mohammad Sharif & Higazy, M. & Kabir, K.M. Ariful, 2022. "Dynamic analysis of mean-field and fractional-order epidemic vaccination strategies by evolutionary game approach," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    2. Ullah, Mohammad Sharif & Higazy, M. & Ariful Kabir, K.M., 2022. "Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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