A comparison of delayed SIR and SEIR epidemic models

被引：49

作者：

Kaddar, Abdelilah ^{[1
]}

Abta, Abdelhadi ^{[2
]}

Alaoui, Hamad Talibi ^{[2
]}

机构：

[1] Univ Mohammed V Souissi, Fac Sci Jurid Econ & Sociales Sale, Souissi, Morocco

[2] Univ Chouaib Doukkali, Fac Sci, Dept Math & Informat, El Jadida, Morocco

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2011年 / 16卷 / 02期

关键词：

SIR epidemic model; incidence rate; delayed differential equations; SEIR model; delayed SIR model; incubation period; stability; Hopf bifurcation; periodic solutions; PULSE VACCINATION; STABILITY;

D O I：

10.15388/NA.16.2.14104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：181 / 190

页数：10

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