Open Access
2014 On a Stochastic SEIS Model with Treatment Rate of Latent Population
Shujing Gao, Yanfei Dai, Yan Zhang, Yujiang Liu
Abstr. Appl. Anal. 2014: 1-16 (2014). DOI: 10.1155/2014/894842


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 R0, 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 R0 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.


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Shujing Gao. Yanfei Dai. Yan Zhang. Yujiang Liu. "On a Stochastic SEIS Model with Treatment Rate of Latent Population." Abstr. Appl. Anal. 2014 1 - 16, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07023259
MathSciNet: MR3272223
Digital Object Identifier: 10.1155/2014/894842

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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