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

Huaixing Li and Jiaoyan Wang
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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

Mathematics, 2021, vol. 9, issue 18, 1-23

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.

Keywords: SVEIR epidemic model; infection age; stability; vaccination; COVID (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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