Abstract
This paper examines the effect of Treatment and Infected Immigrants on the spread of Hepatitis C Virus (HCV) disease with Acute and Chronic stages. A nonlinear mathematical model for the problem is proposed and analysed qualitatively using the stability theory of the differential equations. The results show that the disease free equilibrium is locally stable at threshold parameter less than unity and unstable at threshold parameter greater than unity. Globally, the disease free equilibrium is not stable due existence of forward bifurcation at threshold parameter equal to unity. However the disease becomes more endemic due to the presence of infected immigrants in the community. It is also shown that in the presence of treatment, the rate of infected immigrants (acute and chronic) decreases and consequently the treated infected individuals decreases continuously. Numerical simulation of the model is implemented to investigate the sensitivity of certain key parameters on the treatment and infected immigrants on the spread of the disease with acute and chronic stages.
Highlights
Hepatitis is an inflammation of the liver characterized by the presence of inflammatory cells in the tissue of the organ[1]
If the infected immigrants and treated HCV infectives contribute to the transmission of the disease, even if treatment rates are very high, the disease settles in the population as the system approaches asymptotically stable endemic equilibrium point
It of Hepatitis C Virus Disease with Acute and Chronic Stages is clear from the figure that as the recruitment rate increases, the chronic infected population decrease
Summary
Hepatitis (plural hepatitides) is an inflammation of the liver characterized by the presence of inflammatory cells in the tissue of the organ[1]. [4] made an analysis on the immigration status, race and language barriers on chronic hepatitis virus infection management and treatment outcomes. The researchers found that HCV endemic regions of the word are diagnosed with HCV infection after immigration and subsequently referred to viral hepatitis chronics for disease management. They suggested that optimal care to all patients, indentifying and understanding barriers to care related to immigrant status, race and language in HCV management must be provided. We study and analyse a deterministic model of the effect of treatment and infected immigrants on the spread of HCV disease with acute and chronic stages
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