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Global Dynamics of an SEIR Model with the Age of Infection and Vaccination

Author

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  • Huaixing Li

    (College of Science, Tianjin University of Technology, Tianjin 300384, China)

  • Jiaoyan Wang

    (College of Science, Tianjin University of Technology and Education, Tianjin 300222, China)

Abstract

This paper is concerned with the stability of a SEIR (susceptible-exposed-infectious-recovered) model with the age of infection and vaccination. Firstly, we prove the positivity, boundedness, and asymptotic smoothness of the solutions. Next, the existence and local stability of disease-free and endemic steady states are shown. The basic reproduction number R 0 is introduced. Furthermore, the global stability of the disease-free and endemic steady states is derived. Numerical simulations are shown to illustrate our theoretical results.

Suggested Citation

  • Huaixing Li & Jiaoyan Wang, 2021. "Global Dynamics of an SEIR Model with the Age of Infection and Vaccination," Mathematics, MDPI, vol. 9(18), pages 1-23, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2195-:d:631259
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    References listed on IDEAS

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    1. Hamdy M. Ahmed & Reda A. Elbarkouky & Othman A. M. Omar & Maria Alessandra Ragusa, 2021. "Models for COVID-19 Daily Confirmed Cases in Different Countries," Mathematics, MDPI, vol. 9(6), pages 1-13, March.
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    Cited by:

    1. Sabbar, Yassine & Kiouach, Driss & Rajasekar, S.P. & El-idrissi, Salim El Azami, 2022. "The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: New framework, critical comparison and an application to COVID-19 (SARS-CoV-2) case," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Yanshu Wang & Hailiang Zhang, 2023. "Dynamical Analysis of an Age-Structured SVEIR Model with Imperfect Vaccine," Mathematics, MDPI, vol. 11(16), pages 1-19, August.

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