HEPATITIS C VIRUS AND INTRAVENOUS DRUG MISUSE: A MODELING APPROACH

Author:

MUSHAYABASA STEADY1,BHUNU CLAVER P.1

Affiliation:

1. Department of Mathematics, University of Zimbabwe, P. O. Box MP 167, Harare, Zimbabwe

Abstract

Hepatitis C virus (HCV) is a blood-borne infection that can lead to progressive liver failure, cirrhosis, hepatocellular carcinoma and death. A deterministic mathematical model for assessing the impact of daily intravenous drug misuse on the transmission dynamics of HCV is presented and analyzed. A threshold quantity known as the reproductive number has been computed. Stability of the steady states has been investigated. The dynamical analysis reveals that the model has globally asymptotically stable steady states. The impact of daily intravenous drug misuse on the transmission dynamics of HCV has been discussed through the basic reproductive number and numerical simulations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The effect of the needle exchange program on the spread of some sexually transmitted diseases;Mathematical Biosciences and Engineering;2019

2. Dynamics of HCV in the Presence of Optimal Bleaching;Differential Equations and Dynamical Systems;2016-01-05

3. Modeling Illicit Drug Use Dynamics and Its Optimal Control Analysis;Computational and Mathematical Methods in Medicine;2015

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