On a stochastic SEIS model with treatment rate of latent population
type: Item
instance of: scholarly article
title: On a stochastic SEIS model with treatment rate of latent population
zbMATH Open document ID: 1406.92569
DOI: 10.1155/2014/894842
author: Shujing Gao
author: Yanfei Dai
author: Yan Zhang
author: Yujiang Liu
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 7023259
zbMATH Keywords: asymptotic dynamics
zbMATH Keywords: stochastic SEIS model
zbMATH Keywords: latent population
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/894842
OpenAlex ID: W2067060637
Wikidata QID: Q59042671
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description: scientific article; zbMATH DE number 7023259