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 R0 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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference25 articles.
1. A contribution to mathematical theory of epidemics;Kermack;Proc. R. Soc. Lond. A,1927
2. Contributions to the mathematical theory of epidemics II. The problem of endemicity;Kermack;Bull. Math. Biol.,1991
3. Contributions to the mathematical theory of epidemics III. Further studies of the problem of endemicity;Kermack;Bull. Math. Biol.,1991
4. Endemic threshold analysis for the Kermack-McKendrick reinfection model;Inaba;J. Math. Monograph.,2016
5. Asymptotic analysis of a vector-borne disease model with the age of infection
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