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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/871393 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832551827051118592 |
|---|---|
| author | Junhong Li Ning Cui |
| author_facet | Junhong Li Ning Cui |
| author_sort | Junhong Li |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-af762699f61e433bab808559084cc862 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-af762699f61e433bab808559084cc8622025-02-03T06:00:29ZengWileyThe 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 |
| spellingShingle | Junhong Li Ning Cui Dynamic Analysis of an SEIR Model with Distinct Incidence for Exposed and Infectives The Scientific World Journal |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2013/871393 |
| work_keys_str_mv | AT junhongli dynamicanalysisofanseirmodelwithdistinctincidenceforexposedandinfectives AT ningcui dynamicanalysisofanseirmodelwithdistinctincidenceforexposedandinfectives |