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A Mathematical Study for the Transmission of Coronavirus Disease

Author

Listed:
  • Huda Abdul Satar

    (Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, Iraq)

  • Raid Kamel Naji

    (Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, Iraq)

Abstract

Globally, the COVID-19 pandemic’s development has presented significant societal and economic challenges. The carriers of COVID-19 transmission have also been identified as asymptomatic infected people. Yet, most epidemic models do not consider their impact when accounting for the disease’s indirect transmission. This study suggested and investigated a mathematical model replicating the spread of coronavirus disease among asymptomatic infected people. A study was conducted on every aspect of the system’s solution. The equilibrium points and the basic reproduction number were computed. The endemic equilibrium point and the disease-free equilibrium point had both undergone local stability analyses. A geometric technique was used to look into the global dynamics of the endemic point, whereas the Castillo-Chavez theorem was used to look into the global stability of the disease-free point. The system’s transcritical bifurcation at the disease-free point was discovered to exist. The system parameters were changed using the basic reproduction number’s sensitivity technique. Ultimately, a numerical simulation was used to apply the model to the population of Iraq in order to validate the findings and define the factors that regulate illness breakout.

Suggested Citation

  • Huda Abdul Satar & Raid Kamel Naji, 2023. "A Mathematical Study for the Transmission of Coronavirus Disease," Mathematics, MDPI, vol. 11(10), pages 1-20, May.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2330-:d:1148582
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    References listed on IDEAS

    as
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    5. Kassa, Semu M. & Njagarah, John B.H. & Terefe, Yibeltal A., 2020. "Analysis of the mitigation strategies for COVID-19: From mathematical modelling perspective," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    6. 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.
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    Cited by:

    1. Jiraporn Lamwong & Napasool Wongvanich & I-Ming Tang & Puntani Pongsumpun, 2023. "Optimal Control Strategy of a Mathematical Model for the Fifth Wave of COVID-19 Outbreak (Omicron) in Thailand," Mathematics, MDPI, vol. 12(1), pages 1-29, December.
    2. Tierry Mitonsou Hounkonnou & Laure Gouba, 2024. "Differential Equations and Applications to COVID-19," Mathematics, MDPI, vol. 12(17), pages 1-15, September.

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