Published November 2006 | Version v1
Journal article Metadata-only

Global stability of an SEIR epidemic model with constant immigration

Creators

  • 1. Key Laboratory of Eco-environments in Three Gorges Reservoir Region (Ministry of Education), Faculty of Life Science, Southwest China Normal University, Chongqing 400715 (China) and Department of Mathematics, Southwest China Normal University, Chongqing 400715 (China) and Department of Mathematics, North University of China, Taiyuan Shanxi 030051 (China)
  • 2. Department of Mathematics, Southwest China Normal University, Chongqing 400715 (China)
  • 3. Department of Mathematics, North University of China, Taiyuan Shanxi 030051 (China)

Description

An SEIR epidemic model with the infectious force in the latent (exposed), infected and recovered period is studied. It is assumed that susceptible and exposed individuals have constant immigration rates. The model exhibits a unique endemic state if the fraction p of infectious immigrants is positive. If the basic reproduction number R is greater than 1, sufficient conditions for the global stability of the endemic equilibrium are obtained by the compound matrix theory

Additional details

Identifiers

DOI
10.1016/j.chaos.2005.09.024;
PII
S0960-0779(05)00838-6;

Publishing Information

Journal Title
Chaos, Solitons and Fractals
Journal Volume
30
Journal Issue
4
Journal Page Range
p. 1012-1019
ISSN
0960-0779

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38012787
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
EPIDEMIOLOGY; EQUILIBRIUM; MATHEMATICAL MODELS; REPRODUCTION; STABILITY

Optional Information

Copyright
Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.