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Stability Analysis of COVID-19 via a Fractional Order Mathematical Model

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Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21) (ICFDA 2021)

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 452))

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Abstract

In this work, a four compartmental SEIR model is constructed for the transmission of the Novel Coronavirus infectious disease using Caputo fractional derivative. The disease-free equilibrium and endemic equilibrium are investigated with the stability analysis correspondingly. The solution at different fractional orders is obtained using the Laplace Adomian Decomposition method. Furthermore, the dynamics of the proposed fractional order model are interpreted graphically to observe the behaviour of the spread of disease by altering the values of initially exposed individuals and transmission rate.

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Author information

Authors and Affiliations

  1. COMSATS University Islamabad, Lahore Campus, Lahore, 54000, Pakistan

    Sadia Arshad & Mubashara Wali

  2. Department of Mathematics, Cankaya University, Ankara, 06790, Turkey

    Ozlem Defterli & Dumitru Baleanu

  3. Institute of Space Sciences, Magurele-Bucharest, 077125, Romania

    Dumitru Baleanu

Authors
  1. Sadia Arshad
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  2. Mubashara Wali
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  3. Ozlem Defterli
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  4. Dumitru Baleanu
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Corresponding author

Correspondence to Dumitru Baleanu .

Editor information

Editors and Affiliations

  1. Institute of Control and Industrial Electronics, Warsaw University Technology, Warsaw, Poland

    Andrzej Dzielinski

  2. Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, Warsaw University of Technology, Warsaw, Poland

    Dominik Sierociuk

  3. Institute of Control and Industrial Electronics, Warsaw University of Technology, Warsaw, Poland

    Piotr Ostalczyk

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Arshad, S., Wali, M., Defterli, O., Baleanu, D. (2022). Stability Analysis of COVID-19 via a Fractional Order Mathematical Model. In: Dzielinski, A., Sierociuk, D., Ostalczyk, P. (eds) Proceedings of the International Conference on Fractional Differentiation and its Applications (ICFDA’21). ICFDA 2021. Lecture Notes in Networks and Systems, vol 452. Springer, Cham. https://doi.org/10.1007/978-3-031-04383-3_9

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