Hepatitis C Virus Disease in Tanzania: Education, Health Care, Immunization, Screening and Treatment
[1]
Ainea Neterindwa, Department of Mathematics, Informatics and Computational Sciences, Sokoine University of Agriculture, Morogoro, Tanzania.
In this paper a mathematical model is presented to examine the effect education against HCV disease, screening of immigrants, and treatment of infectious individuals with control on the transmission of HCV in the society. A nonlinear mathematical model for the problem is proposed and analysed quantitatively using the stability theory of the differential equations. The results show that the disease-free equilibrium point is locally and globally asymptotically stable if the effective reproduction number Re is less than unity. Then the endemic equilibrium is locally and globally asymptotically stable under certain conditions, using the additive compound matrices approach and Lyapunov method respectively. Numerical results suggest that an increase in the rate of providing education against HCV disease, screening of immigrants, treatment of infectious individuals, may generally result decreases the prevalence of the disease. Based on the results of the study, it results conclude that the most effective way to reduce the transmission of HCV epidemic infection is to educate people about HCV disease, immunization, health care, and screening of immigrants and treatment of infected individuals.
HCV Disease, Modelling, Stability, Immunization, Health Care, Screening of Immigrants, Treatment
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