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Dynamic Analysis of a VSEIR Model with Vaccination Efficacy and Immune Decline

Author

Listed:
  • Xiaotao Han
  • Hua Liu
  • Xiaofen Lin
  • Yumei Wei
  • Ma Ming

Abstract

Vaccination is an effective way to prevent the spread of infectious diseases. In this study, we formulate a VSEIR mathematical model to explore the effects of vaccination rate, vaccine efficacy, and immune decline on the COVID‐19 transmission. The existence and stability criteria of equilibrium states were determined by analyzing the model. Model analysis was performed. One of the interesting phenomena involved in this issue is that diseases may or may not die out when the basic reproduction number falls below unity (i.e., a backward bifurcation may exist and cause multistability). The disease eventually becomes endemic in the population when the basic reproduction number exceeds one. By comparing different vaccination rates, vaccine efficacy, and infection rate factors, the diseases can be eliminated, not only by vaccines but also by strict protective measures. In addition, we used the COVID‐19 number of reported cases in Xiamen in September 2021 to fit the model, and the model and the reported data were well matched.

Suggested Citation

  • Xiaotao Han & Hua Liu & Xiaofen Lin & Yumei Wei & Ma Ming, 2022. "Dynamic Analysis of a VSEIR Model with Vaccination Efficacy and Immune Decline," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:7596164
    DOI: 10.1155/2022/7596164
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    References listed on IDEAS

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    1. Zai-Yin He & Abderrahmane Abbes & Hadi Jahanshahi & Naif D. Alotaibi & Ye Wang, 2022. "Fractional-Order Discrete-Time SIR Epidemic Model with Vaccination: Chaos and Complexity," Mathematics, MDPI, vol. 10(2), pages 1-18, January.
    2. Fuzhang Wang & Muhammad Nawaz Khan & Imtiaz Ahmad & Hijaz Ahmad & Hanaa Abu-Zinadah & Yu-Ming Chu, 2022. "Numerical Solution Of Traveling Waves In Chemical Kinetics: Time-Fractional Fishers Equations," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(02), pages 1-11, March.
    3. Parsamanesh, Mahmood & Erfanian, Majid, 2018. "Global dynamics of an epidemic model with standard incidence rate and vaccination strategy," Chaos, Solitons & Fractals, Elsevier, vol. 117(C), pages 192-199.
    4. repec:plo:pone00:0008032 is not listed on IDEAS
    5. Parsamanesh, Mahmood & Erfanian, Majid, 2021. "Stability and bifurcations in a discrete-time SIVS model with saturated incidence rate," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    6. Chu, Yu-Ming & Shankaralingappa, B.M. & Gireesha, B.J. & Alzahrani, Faris & Khan, M. Ijaz & Khan, Sami Ullah, 2022. "Combined impact of Cattaneo-Christov double diffusion and radiative heat flux on bio-convective flow of Maxwell liquid configured by a stretched nano-material surface," Applied Mathematics and Computation, Elsevier, vol. 419(C).
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