Stability of an Age-structured SEIR Epidemic Model with Infectivity in Latent Period

Authors

Xue-Zhi Li, Xinyang Normal University
Bin Fang, Xinyang Normal University

Abstract

We study an age-structured SEIR epidemic model with infectivity in the latent period. By using the theory and methods of Differential and Integral Equations, the explicit expression for the basic reproductive number R₀ is first derived. It is shown that the disease-free equilibrium is locally and globally asymptotically stable if R₀ < 1. It is then proved that only one endemic equilibrium exists if R₀ > 1 and its stability conditions are also given.

Recommended Citation

Li, Xue-Zhi and Fang, Bin (2009). Stability of an Age-structured SEIR Epidemic Model with Infectivity in Latent Period, Applications and Applied Mathematics: An International Journal (AAM), Vol. 4, Iss. 1, Article 16.
Available at: https://digitalcommons.pvamu.edu/aam/vol4/iss1/16