Periodic solution of a stochastic SIRS epidemic model with seasonal variation
In this paper, we consider a stochastic SIRS epidemic model with seasonal variation and saturated incidence. Firstly, we obtain the threshold of stochastic system which determines whether the epidemic occurs or not. Secondly, we prove that there is a non-trivial positive periodic solution if $ R_0^s...
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Taylor & Francis Group
2018-01-01
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| Series: | Journal of Biological Dynamics |
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| Online Access: | http://dx.doi.org/10.1080/17513758.2017.1396369 |
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doaj-63d3d457b5ed4981b054697576c781fe2020-11-25T02:59:56ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662018-01-0112111010.1080/17513758.2017.13963691396369Periodic solution of a stochastic SIRS epidemic model with seasonal variationManli Jin0Yuguo Lin1Jilin UniversityBeihua UniversityIn this paper, we consider a stochastic SIRS epidemic model with seasonal variation and saturated incidence. Firstly, we obtain the threshold of stochastic system which determines whether the epidemic occurs or not. Secondly, we prove that there is a non-trivial positive periodic solution if $ R_0^s>1 $ .http://dx.doi.org/10.1080/17513758.2017.1396369sirs epidemic modelperiodic solutionextinction and persistence |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Manli Jin Yuguo Lin |
| spellingShingle |
Manli Jin Yuguo Lin Periodic solution of a stochastic SIRS epidemic model with seasonal variation Journal of Biological Dynamics sirs epidemic model periodic solution extinction and persistence |
| author_facet |
Manli Jin Yuguo Lin |
| author_sort |
Manli Jin |
| title |
Periodic solution of a stochastic SIRS epidemic model with seasonal variation |
| title_short |
Periodic solution of a stochastic SIRS epidemic model with seasonal variation |
| title_full |
Periodic solution of a stochastic SIRS epidemic model with seasonal variation |
| title_fullStr |
Periodic solution of a stochastic SIRS epidemic model with seasonal variation |
| title_full_unstemmed |
Periodic solution of a stochastic SIRS epidemic model with seasonal variation |
| title_sort |
periodic solution of a stochastic sirs epidemic model with seasonal variation |
| publisher |
Taylor & Francis Group |
| series |
Journal of Biological Dynamics |
| issn |
1751-3758 1751-3766 |
| publishDate |
2018-01-01 |
| description |
In this paper, we consider a stochastic SIRS epidemic model with seasonal variation and saturated incidence. Firstly, we obtain the threshold of stochastic system which determines whether the epidemic occurs or not. Secondly, we prove that there is a non-trivial positive periodic solution if $ R_0^s>1 $ . |
| topic |
sirs epidemic model periodic solution extinction and persistence |
| url |
http://dx.doi.org/10.1080/17513758.2017.1396369 |
| work_keys_str_mv |
AT manlijin periodicsolutionofastochasticsirsepidemicmodelwithseasonalvariation AT yuguolin periodicsolutionofastochasticsirsepidemicmodelwithseasonalvariation |
| _version_ |
1724700182500605952 |