TIME-DELAY EFFECTS IN SEIR EPIDEMIC MODELS: LATENT AND INFECTIOUS PERIODS

Abstract

This paper introduces a compartmental SEIR epidemic model that incorporates fixed time delays to represent the latent and recovery periods. The model employs a non-monotonic incidence function to describe disease transmission. The basic reproduction number is derived, and the model’s dynamics are investigated through an analysis of the local and global asymptotic stability of both the disease-free and endemic equilibria. Numerical simulations are presented to support and illustrate the analytical findings.