Dynamics of HCV in the Presence of Optimal Bleaching

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• 作者：Steady Mushayabasa
• 关键词：HCV ; Drug misuse ; Mathematical models ; Bleaching ; Individual withdrawal ; Optimal control theory
• 刊名：Differential Equations and Dynamical Systems
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：101-116
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general; Engineering, general; Computer Science, general;
• 出版者：Springer India
• ISSN：0974-6870
• 卷排序：25

文摘

In an effort to slow transmission of blood-borne pathogens among intravenous drug misusers, clinicians through harm reduction programs have tried to educate intravenous drug misusers about the dangers of sharing needles and other injecting equipment. These programs encourage the use of new needles for every injection or, when new equipment is not available, too clean needles by bleaching them before they are reused. In this paper, a mathematical model for the transmission dynamics of hepatitis C virus (HCV) has been proposed and investigated. The impacts of bleaching and individual withdrawal on the transmission dynamics of HCV are discussed through the basic reproductive number and numerical simulations. For the time dependent control, we formulate the appropriate optimal control problem and investigate the necessary conditions for HCV control in order to determine the impact of bleaching on HCV prevalence. Although, bleaching is not 100 % effective, results in this paper suggests that if bleaching is 70 % effective in the absence of time dependent control then cumulative cases of new HCV infections may have a significant decline. However, in the presence of time dependent control we have established that if bleaching is 55 % effective HCV may die out.