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  1. Differential Equations and Dynamical Systems
  2. Differential Equations and Dynamical Systems : Volume 25
  3. Differential Equations and Dynamical Systems : Volume 25, Issue 1, January 2017
  4. Dynamics of HCV in the Presence of Optimal Bleaching
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Differential Equations and Dynamical Systems : Volume 25
Differential Equations and Dynamical Systems : Volume 25, Issue 4, October 2017
Differential Equations and Dynamical Systems : Volume 25, Issue 3, July 2017
Differential Equations and Dynamical Systems : Volume 25, Issue 2, April 2017
Differential Equations and Dynamical Systems : Volume 25, Issue 1, January 2017
Fractional Order Bilingualism Model Without Conversion from Dominant Unilingual Group to Bilingual Group
Effect of Oblateness of an Artificial Satellite on the Orbits Around the Triangular Points of the Earth–Moon System in the Axisymmetric ER3BP
On the Stability of $$L_{4,5} $$ in the Photogravitational Relativistic R3BP
Global Well-Posedness and Pullback Attractors for an Incompressible Non-Newtonian Fluid with Infinite Delays
Approximate Controllability of a Fractional Neutral Differential System with Deviated Argument in a Banach Space
Abel-type Results for Controlled Piecewise Deterministic Markov Processes
Dynamics of HCV in the Presence of Optimal Bleaching
Approximations of Solutions of a Neutral Fractional Integro-Differential Equation
Differential Equations and Dynamical Systems : Volume 24
Differential Equations and Dynamical Systems : Volume 23
Differential Equations and Dynamical Systems : Volume 22
Differential Equations and Dynamical Systems : Volume 21
Differential Equations and Dynamical Systems : Volume 20
Differential Equations and Dynamical Systems : Volume 19
Differential Equations and Dynamical Systems : Volume 18
Differential Equations and Dynamical Systems : Volume 17
Differential Equations and Dynamical Systems : Volume 16

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Dynamics of HCV in the Presence of Optimal Bleaching

Content Provider SpringerLink
Author Mushayabasa, Steady
Copyright Year 2016
Abstract 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.
Starting Page 101
Ending Page 116
Page Count 16
File Format PDF
ISSN 09713514
Journal Differential Equations and Dynamical Systems
Volume Number 25
Issue Number 1
e-ISSN 09746870
Language English
Publisher Springer India
Publisher Date 2016-01-05
Publisher Place New Delhi
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword HCV Drug misuse Mathematical models Bleaching Individual withdrawal Optimal control theory Epidemiology Asymptotic stability Nonlinear equations Mathematics Engineering Computer Science
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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