Dynamic behavior of a stochastic SIR epidemic model with vertical transmission

Simple item page
dc.contributor.authorZhang, Xiao-Bing
dc.contributor.authorChang, Su-Qin
dc.contributor.authorHuo, Hai-Feng
dc.date.accessioned2021-12-06T21:23:38Z
dc.date.available2021-12-06T21:23:38Z
dc.date.issued2019-11-25
dc.description.abstractThis 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationZhang, X. B., Chang, S. Q., & Huo, H. F. (2019). Dynamic behavior of a stochastic SIR epidemic model with vertical transmission. <i>Electronic Journal of Differential Equations, 2019</i>(125), pp. 1-120.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15019
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectStochastic SIR model
dc.subjectExtinction
dc.subjectPersistence
dc.subjectStationary distribution
dc.titleDynamic behavior of a stochastic SIR epidemic model with vertical transmission
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
zhang.pdf
Size:
610.61 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations