Dynamics of HCV in the Presence of Optimal Bleaching
| Autor: | Steady Mushayabasa |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
medicine.medical_specialty
Harm reduction Intravenous drug business.industry Applied Mathematics Drug misuse Clean needles 01 natural sciences 010305 fluids & plasmas law.invention 03 medical and health sciences 0302 clinical medicine Transmission (mechanics) law 0103 physical sciences medicine Hcv prevalence 030212 general & internal medicine Intensive care medicine business Analysis |
| Zdroj: | Differential Equations and Dynamical Systems. 25:101-116 |
| ISSN: | 0974-6870 0971-3514 |
| DOI: | 10.1007/s12591-015-0272-8 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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