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Mathematical Model of Antiviral Immune Response against the COVID-19 Virus

Author

Listed:
  • Juan Carlos Chimal-Eguia

    (Centro de Investigación en Computación del Instituto Politécnico Nacional (IPN), Av. Miguel Othon de Mendizabal s/n. Col. La Escalera, Ciudad de México 07738, CP, Mexico)

Abstract

This work presents a mathematical model to investigate the current outbreak of the coronavirus disease 2019 (COVID-19) worldwide. The model presents the infection dynamics and emphasizes the role of the immune system: both the humoral response as well as the adaptive immune response. We built a mathematical model of delay differential equations describing a simplified view of the mechanism between the COVID-19 virus infection and the immune system. We conduct an analysis of the model exploring different scenarios, and our numerical results indicate that some theoretical immunotherapies are successful in eradicating the COVID-19 virus.

Suggested Citation

  • Juan Carlos Chimal-Eguia, 2021. "Mathematical Model of Antiviral Immune Response against the COVID-19 Virus," Mathematics, MDPI, vol. 9(12), pages 1-19, June.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:12:p:1356-:d:573354
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    Citations

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    Cited by:

    1. Kumawat, Nitesh & Rashid, Mubasher & Srivastava, Akriti & Tripathi, Jai Prakash, 2023. "Hysteresis and Hopf bifurcation: Deciphering the dynamics of an in-host model of SARS-CoV-2 with logistic target cell growth and sigmoidal immune response," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Dmitry Grebennikov & Antonina Karsonova & Marina Loguinova & Valentina Casella & Andreas Meyerhans & Gennady Bocharov, 2022. "Predicting the Kinetic Coordination of Immune Response Dynamics in SARS-CoV-2 Infection: Implications for Disease Pathogenesis," Mathematics, MDPI, vol. 10(17), pages 1-27, September.

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