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The Basic Reproduction Number and Delayed Action of T Cells for Patients Infected with SARS-CoV-2

Author

Listed:
  • Yingdong Yin

    (School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China)

  • Yupeng Xi

    (School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China)

  • Cheng Xu

    (School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China)

  • Qiwen Sun

    (Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou 510006, China)

Abstract

COVID-19 has been prevalent for the last two years. The transmission capacity of SARS-CoV-2 differs under the influence of different epidemic prevention policies, making it difficult to measure the infectivity of the virus itself. In order to evaluate the infectivity of SARS-CoV-2 in patients with different diseases, we constructed a viral kinetic model by adding the effects of T cells and antibodies. To analyze and compare the delay time of T cell action in patients with different symptoms, we constructed a delay differential equation model. Through the first model, we found that the basic reproduction number of severe patients is greater than that of mild patients, and accordingly, we constructed classification criteria for severe and mild patients. Through the second model, we found that the delay time of T cell action in severe patients is much longer than that in mild patients, and accordingly, we present suggestions for the prevention, diagnosis, and treatment of different patients.

Suggested Citation

  • Yingdong Yin & Yupeng Xi & Cheng Xu & Qiwen Sun, 2022. "The Basic Reproduction Number and Delayed Action of T Cells for Patients Infected with SARS-CoV-2," Mathematics, MDPI, vol. 10(12), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2017-:d:836538
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    References listed on IDEAS

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    1. Chen, Jianwei & Wu, Hulin, 2008. "Efficient Local Estimation for Time-Varying Coefficients in Deterministic Dynamic Models With Applications to HIV-1 Dynamics," Journal of the American Statistical Association, American Statistical Association, vol. 103, pages 369-384, March.
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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.

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