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Threshold dynamics in a stochastic SIRS epidemic model with nonlinear incidence rate
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zhao, Yanan Zhang, Xiao-Ying O'Regan, Donal |
| Copyright Year | 2019 |
| Abstract | We discuss the dynamic of a stochastic Susceptible-InfectiousRecovered-Susceptible (SIRS) epidemic model with nonlinear incidence rate.The crucial threshold R̃0 is identified and this will determine the extinction and persistence of the epidemic when the noise is small. We also discuss the asymptotic behavior of the stochastic model around the endemic equilibrium of the corresponding deterministic system. When the noise is large, we find that a large noise intensity has the effect of suppressing the epidemic, so that it dies out. Finally, these results are illustrated by computer simulations. |
| Starting Page | 2096 |
| Ending Page | 2110 |
| Page Count | 15 |
| File Format | PDF HTM / HTML |
| DOI | 10.11948/20180041 |
| Volume Number | 9 |
| Alternate Webpage(s) | http://jaac.ijournal.cn/ch/reader/create_pdf.aspx?file_no=JAAC-2018-0041&journal_id=jaac |
| Alternate Webpage(s) | https://doi.org/10.11948/20180041 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |