Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives

Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives

An SEIR model with vaccination strategy that incorporates distinct incidence rates for the exposed and the infected populations is studied. By means of Lyapunov function and LaSalle’s invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. The suffici...

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Main Authors: Junhong Li, Ning Cui
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2013/871393
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spelling doaj-af762699f61e433bab808559084cc8622020-11-25T02:19:11ZengHindawi LimitedThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/871393871393Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and InfectivesJunhong Li0Ning Cui1Department of Mathematics and Sciences, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou, Hebei 075000, ChinaDepartment of Mathematics and Sciences, Hebei Institute of Architecture and Civil Engineering, Zhangjiakou, Hebei 075000, ChinaAn SEIR model with vaccination strategy that incorporates distinct incidence rates for the exposed and the infected populations is studied. By means of Lyapunov function and LaSalle’s invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. The sufficient conditions for the global stability of the endemic equilibrium are obtained using the compound matrix theory. Furthermore, the method of direct numerical simulation of the system shows that there is a periodic solution, when the system has three equilibrium points.http://dx.doi.org/10.1155/2013/871393
collection DOAJ
language English
format Article
sources DOAJ
author Junhong Li
Ning Cui
spellingShingle Junhong Li
Ning Cui
Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
The Scientific World Journal
author_facet Junhong Li
Ning Cui
author_sort Junhong Li
title Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_short Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_full Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_fullStr Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_full_unstemmed Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives
title_sort dynamic analysis of an seir model with distinct incidence for exposed and infectives
publisher Hindawi Limited
series The Scientific World Journal
issn 1537-744X
publishDate 2013-01-01
description An SEIR model with vaccination strategy that incorporates distinct incidence rates for the exposed and the infected populations is studied. By means of Lyapunov function and LaSalle’s invariant set theorem, we proved the global asymptotical stable results of the disease-free equilibrium. The sufficient conditions for the global stability of the endemic equilibrium are obtained using the compound matrix theory. Furthermore, the method of direct numerical simulation of the system shows that there is a periodic solution, when the system has three equilibrium points.
url http://dx.doi.org/10.1155/2013/871393
work_keys_str_mv AT junhongli dynamicanalysisofanseirmodelwithdistinctincidenceforexposedandinfectives
AT ningcui dynamicanalysisofanseirmodelwithdistinctincidenceforexposedandinfectives
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