Periodic solution of a stochastic SIRS epidemic model with seasonal variation
| Autor: | Manli Jin, Yuguo Lin |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Journal of Biological Dynamics, Vol 12, Iss 1, Pp 1-10 (2018) |
| Druh dokumentu: | article |
| ISSN: | 1751-3758 1751-3766 17513758 |
| DOI: | 10.1080/17513758.2017.1396369 |
| Popis: | 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 $ . |
| Databáze: | Directory of Open Access Journals |
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