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Global Stability for Fractional Diffusion Equations in Biological Systems

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  • Khalid Hattaf
  • Noura Yousfi

Abstract

This paper proposes a new method of construction of Lyapunov functionals for the dynamical systems described by fractional differential equations and fractional partial differential equations. The proposed method is rigorously presented. Furthermore, the method is applied to establish the global stability of some fractional biological models with and without diffusion.

Suggested Citation

  • Khalid Hattaf & Noura Yousfi, 2020. "Global Stability for Fractional Diffusion Equations in Biological Systems," Complexity, Hindawi, vol. 2020, pages 1-6, August.
    • Handle: RePEc:hin:complx:5476842
    DOI: 10.1155/2020/5476842
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    Cited by:

    1. Kaushik Dehingia & Ahmed A. Mohsen & Sana Abdulkream Alharbi & Reima Daher Alsemiry & Shahram Rezapour, 2022. "Dynamical Behavior of a Fractional Order Model for Within-Host SARS-CoV-2," Mathematics, MDPI, vol. 10(13), pages 1-15, July.
    2. Younoussi, Majda El & Hajhouji, Zakaria & Hattaf, Khalid & Yousfi, Noura, 2022. "Dynamics of a reaction-diffusion fractional-order model for M1 oncolytic virotherapy with CTL immune response," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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