Dynamic behavior of a stochastic SIR epidemic model with vertical transmission
| dc.contributor.author | Zhang, Xiao-Bing ( ) | |
| dc.contributor.author | Chang, Su-Qin ( ) | |
| dc.contributor.author | Huo, Hai-Feng (  0000-0002-9563-1483 ) | |
| dc.date.accessioned | 2021-12-06T21:23:38Z | |
| dc.date.available | 2021-12-06T21:23:38Z | |
| dc.date.issued | 2019-11-25 | |
| dc.identifier.citation | Zhang, X. B., Chang, S. Q., & Huo, H. F. (2019). Dynamic behavior of a stochastic SIR epidemic model with vertical transmission. Electronic Journal of Differential Equations, 2019(125), pp. 1-120. | en_US |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://digital.library.txstate.edu/handle/10877/15019 | |
| dc.description.abstract | This article concerns the dynamic behavior of a stochastic SIR epidemic model with vertical transmission. We present sufficient conditions which can determine the extinction and persistence in mean of the epidemic. Also we discuss the asymptotic behavior of the stochastic model around the endemic equilibrium of the corresponding model. Moreover, sufficient conditions for the existence of stationary distribution are established. The results are illustrated by numerical simulations. | en_US |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.language.iso | en | en_US |
| dc.publisher | Texas State University, Department of Mathematics | en_US |
| dc.source | Electronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Stochastic SIR model | en_US |
| dc.subject | Extinction | en_US |
| dc.subject | Persistence | en_US |
| dc.subject | Stationary distribution | en_US |
| dc.title | Dynamic behavior of a stochastic SIR epidemic model with vertical transmission | en_US |
| dc.type | publishedVersion | |
| txstate.documenttype | Article | |
| dc.rights.license |  This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.description.department | Mathematics |
