Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions

The global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated. Under the given assumptions, the basic reproduction number ℜ0 is defined and proved as the role of a threshold; that is, the disease-free equilibrium P0 is globally...

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Main Authors: Nan Wang, Jingmei Pang, Jinliang Wang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/740256
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author Nan Wang
Jingmei Pang
Jinliang Wang
author_facet Nan Wang
Jingmei Pang
Jinliang Wang
author_sort Nan Wang
collection DOAJ
description The global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated. Under the given assumptions, the basic reproduction number ℜ0 is defined and proved as the role of a threshold; that is, the disease-free equilibrium P0 is globally asymptotically stable if ℜ0≤1, while an endemic equilibrium P* exists uniquely and is globally asymptotically stable if ℜ0>1. For the proofs, we apply the classical method of Lyapunov functionals and a recently developed graph-theoretic approach.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-47144e0b319747b68506ce0d1c6b13812025-02-03T05:57:11ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/740256740256Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency DistributionsNan Wang0Jingmei Pang1Jinliang Wang2School of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaSchool of Mathematical Science, Heilongjiang University, Harbin 150080, ChinaThe global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated. Under the given assumptions, the basic reproduction number ℜ0 is defined and proved as the role of a threshold; that is, the disease-free equilibrium P0 is globally asymptotically stable if ℜ0≤1, while an endemic equilibrium P* exists uniquely and is globally asymptotically stable if ℜ0>1. For the proofs, we apply the classical method of Lyapunov functionals and a recently developed graph-theoretic approach.http://dx.doi.org/10.1155/2014/740256
spellingShingle Nan Wang
Jingmei Pang
Jinliang Wang
Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions
Abstract and Applied Analysis
title Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions
title_full Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions
title_fullStr Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions
title_full_unstemmed Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions
title_short Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions
title_sort stability analysis of a multigroup seir epidemic model with general latency distributions
url http://dx.doi.org/10.1155/2014/740256
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AT jingmeipang stabilityanalysisofamultigroupseirepidemicmodelwithgenerallatencydistributions
AT jinliangwang stabilityanalysisofamultigroupseirepidemicmodelwithgenerallatencydistributions