A comparison of delayed SIR and SEIR epidemic models

Abstract

In epidemiological research literatures, a latent or incubation period can be medelled by incorporating it as a delay effect (delayed SIR models), or by introducing an exposed class (SEIR models). In this paper we propose a comparison of a delayed SIR model and its corresponding SEIR model in terms of local stability. Also some numerical simulations are given to illustrate the theoretical results.

Keywords

• SIR epidemic model
• incidence rate
• delayed differential equations
• SEIR model
• delayed SIR mode
• incubation period