A comparison of delayed SIR and SEIR epidemic models
Articles
Abdelilah Kaddar
Universite Mohammed V - Souissi, Morocco
Abdelhadi Abta
Universite Chouaib Doukkali, Morocco
Hamad Talibi Talibi Alaoui
Universite Chouaib Doukkali, Morocco
Published 2011-04-25
https://doi.org/10.15388/NA.16.2.14104
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Keywords

SIR epidemic model
incidence rate
delayed differential equations
SEIR model
delayed SIR mode
incubation period
stability
Hopf bifurcation
periodic solutions

How to Cite

Kaddar, A., Abta, A. and Alaoui, H.T.T. (2011) “A comparison of delayed SIR and SEIR epidemic models”, Nonlinear Analysis: Modelling and Control, 16(2), pp. 181–190. doi:10.15388/NA.16.2.14104.

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.

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