Dynamics of a Stochastic Multigroup SEIR Epidemic Model
To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number R0S and show that it is a sharp threshold for the dynamics of SDE model. If R0S<1, the disease-free equilibrium is asymptotically stable; and if R0S...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/258915 |
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| _version_ | 1832568225642053632 |
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| author | Xiaojing Zhong Feiqi Deng |
| author_facet | Xiaojing Zhong Feiqi Deng |
| author_sort | Xiaojing Zhong |
| collection | DOAJ |
| description | To be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number R0S and show that it is a sharp threshold for the dynamics of SDE model. If R0S<1, the disease-free equilibrium is asymptotically stable; and if R0S>1, the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results. |
| format | Article |
| id | doaj-art-83d2b77e340b47ddb2004304c634dbde |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-83d2b77e340b47ddb2004304c634dbde2025-02-03T00:59:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/258915258915Dynamics of a Stochastic Multigroup SEIR Epidemic ModelXiaojing Zhong0Feiqi Deng1College of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, ChinaCollege of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, ChinaTo be more precise about the real world activity, a stochastic multigroup SEIR epidemic model is formulated. we define the basic reproduction number R0S and show that it is a sharp threshold for the dynamics of SDE model. If R0S<1, the disease-free equilibrium is asymptotically stable; and if R0S>1, the disease persists and there exists a globally asymptotically stable stationary distribution. Numerical simulation examples are carried out to substantiate the analytical results.http://dx.doi.org/10.1155/2014/258915 |
| spellingShingle | Xiaojing Zhong Feiqi Deng Dynamics of a Stochastic Multigroup SEIR Epidemic Model Journal of Applied Mathematics |
| title | Dynamics of a Stochastic Multigroup SEIR Epidemic Model |
| title_full | Dynamics of a Stochastic Multigroup SEIR Epidemic Model |
| title_fullStr | Dynamics of a Stochastic Multigroup SEIR Epidemic Model |
| title_full_unstemmed | Dynamics of a Stochastic Multigroup SEIR Epidemic Model |
| title_short | Dynamics of a Stochastic Multigroup SEIR Epidemic Model |
| title_sort | dynamics of a stochastic multigroup seir epidemic model |
| url | http://dx.doi.org/10.1155/2014/258915 |
| work_keys_str_mv | AT xiaojingzhong dynamicsofastochasticmultigroupseirepidemicmodel AT feiqideng dynamicsofastochasticmultigroupseirepidemicmodel |