On a Stochastic SEIS Model with Treatment Rate of Latent Population
Joint Authors
Zhang, Yan
Dai, Yanfei
Liu, Yujiang
Gao, Shujing
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-14
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The asymptotic dynamics of a stochastic SEIS epidemic model with treatment rate of latent population is investigated.
First, we show that the system provides a unique positive global solution starting from the positive initial value.
Then, the long-term asymptotic behavior of the model is studied: if R 0 , which is called the basic reproduction number of the corresponding deterministic model, is not more than unity, the solution of the model is oscillating around the disease-free equilibrium of the corresponding deterministic system, whereas if R 0 is larger than unity, we show how the solution spirals around the endemic equilibrium of deterministic system under certain parametric restrictions.
Finally, numerical simulations are carried out to support our theoretical findings.
American Psychological Association (APA)
Gao, Shujing& Dai, Yanfei& Zhang, Yan& Liu, Yujiang. 2014. On a Stochastic SEIS Model with Treatment Rate of Latent Population. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1034075
Modern Language Association (MLA)
Gao, Shujing…[et al.]. On a Stochastic SEIS Model with Treatment Rate of Latent Population. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1034075
American Medical Association (AMA)
Gao, Shujing& Dai, Yanfei& Zhang, Yan& Liu, Yujiang. On a Stochastic SEIS Model with Treatment Rate of Latent Population. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1034075
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034075