Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation
We discuss a two-group SEIR epidemic model with distributed delays, incorporating random fluctuation around the endemic equilibrium. Our research shows that the endemic equilibrium of the model with distributed delays and random perturbation is stochastically asymptotically stable in the large. In a...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/132095 |
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| _version_ | 1832554311485227008 |
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| author | Xiaoming Fan Zhigang Wang Xuelian Xu |
| author_facet | Xiaoming Fan Zhigang Wang Xuelian Xu |
| author_sort | Xiaoming Fan |
| collection | DOAJ |
| description | We discuss a two-group SEIR epidemic model with distributed delays, incorporating random fluctuation around the endemic equilibrium. Our research shows that the endemic equilibrium of the model with distributed delays and random perturbation is stochastically asymptotically stable in the large. In addition, a sufficient stability condition is obtained by constructing suitable Lyapunov function. |
| format | Article |
| id | doaj-art-bc1bc6e7a18447848aba951676ace63a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bc1bc6e7a18447848aba951676ace63a2025-02-03T05:51:53ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/132095132095Global Stability of Two-Group Epidemic Models with Distributed Delays and Random PerturbationXiaoming Fan0Zhigang Wang1Xuelian Xu2School of Mathematics Science, Harbin Normal University, Harbin 150025, ChinaSchool of Mathematics Science, Harbin Normal University, Harbin 150025, ChinaSchool of Mathematics Science, Harbin Normal University, Harbin 150025, ChinaWe discuss a two-group SEIR epidemic model with distributed delays, incorporating random fluctuation around the endemic equilibrium. Our research shows that the endemic equilibrium of the model with distributed delays and random perturbation is stochastically asymptotically stable in the large. In addition, a sufficient stability condition is obtained by constructing suitable Lyapunov function.http://dx.doi.org/10.1155/2012/132095 |
| spellingShingle | Xiaoming Fan Zhigang Wang Xuelian Xu Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation Abstract and Applied Analysis |
| title | Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation |
| title_full | Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation |
| title_fullStr | Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation |
| title_full_unstemmed | Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation |
| title_short | Global Stability of Two-Group Epidemic Models with Distributed Delays and Random Perturbation |
| title_sort | global stability of two group epidemic models with distributed delays and random perturbation |
| url | http://dx.doi.org/10.1155/2012/132095 |
| work_keys_str_mv | AT xiaomingfan globalstabilityoftwogroupepidemicmodelswithdistributeddelaysandrandomperturbation AT zhigangwang globalstabilityoftwogroupepidemicmodelswithdistributeddelaysandrandomperturbation AT xuelianxu globalstabilityoftwogroupepidemicmodelswithdistributeddelaysandrandomperturbation |