Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2024, Vol. 41 ›› Issue (3): 458-468.doi: 10.3969/j.issn.1005-3085.2024.03.006

Previous Articles     Next Articles

Dynamic Analysis of the COVID-19 Epidemic Model with Vaccination and Environmental Transmission

WANG Xiaojing,  LI Jiahui,  YAN Huilin,  GUO Songbai,  LIANG Yu,  CHEN Jingyi   

  1. School of Science, Beijing University of Civil Engineering and Architecture, Beijing 102616
  • Received:2021-10-15 Accepted:2023-02-03 Online:2024-06-15 Published:2024-08-15
  • Supported by:
    The National Natural Science Foundation of China (11901027); the Scientific Research Program of Beijing Municipal Commission of Education (SZ202110016008); the Beijing University of Civil Engineering and Architecture Post Graduate Innovation Project (PG2023145).

Abstract:

Based on the method of mathematical modeling of infectious disease dynamics and the transmission mechanism of COVID-19, an SEIARW epidemic model is established, which incorporating vaccination and environmental transmission. Firstly, the control reproduction number of the model is calculated, and then the existence and uniqueness of the endemic equilibrium are given. Furthermore, two Lyapunov functions are constructed to prove the global stability of both the disease-free equilibrium and the endemic equilibrium. Finally, numerical simulations have been carried out to draw variation lines of the control reproduction number corresponding to its parameters and to fit the epidemic data of symptomatic in Beijing from November 20 to December 5, 2022. The results show that increasing vaccination coverage and vaccine effectiveness can reduce the final size and strengthening the elimination of virus in the environment can effectively reduce the number of the exposed, asymptomatic and symptomatic. Meanwhile, scientific prevention and control strategies should be formulated according to local conditions to avoid excessive disinfection damaging human health and polluting the environment.

Key words: COVID-19, vaccination, environmental transmission, control reproduction number, stability

CLC Number: