Global dynamics and applications of an epidemiological model for hepatitis C virus transmission in China
type: Item
instance of: scholarly article
title: Global dynamics and applications of an epidemiological model for hepatitis C virus transmission in China
zbMATH Open document ID: 1418.92194
DOI: 10.1155/2015/543029
author: Mingwang Shen
author: Yanni Xiao
author: Weike Zhou
author: Zhen Li
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-19T00:00:00Z
review text: Summary: An epidemiological model is proposed and studied to understand the transmission dynamics and prevalence of HCV infection in China. Theoretical analysis indicates that the basic reproduction number \(R_0\) provides a threshold value determining whether the disease dies out or not. Two Lyapunov functions are constructed to prove the global asymptotic stability of the disease-free and the endemic equilibria, respectively. Based on data reported by the National Health and Family Planning Commission of China, the basic reproduction number is estimated as approximately \(R_0 = 1.9897\), which is much less than that for the model when a treatment strategy is not considered. An ever-increasing HCV infection is predicted in the near future. Numerical simulations, performed to investigate the potential effect of antiviral treatment, show that increasing the treatment cure rate and enlarging the treatment rate for patients at the chronic stage remain effective in reducing the number of new infections and the equilibrium prevalence. The finding suggests that treatment measures are significantly beneficial for disease control in terms of reducing new infections and, in particular, more attention should be paid to treatment for patients at the chronic stage.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7025397
Wikidata QID: Q59105978
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/543029
OpenAlex ID: W2055774201
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description: scientific article; zbMATH DE number 7025397