Welcome to Open Science
Contact Us
Home Books Journals Submission Open Science Join Us News
Hepatitis C Virus Disease in Tanzania: Education, Health Care, Immunization, Screening and Treatment
Current Issue
Volume 7, 2019
Issue 1 (March)
Pages: 14-27   |   Vol. 7, No. 1, March 2019   |   Follow on         
Paper in PDF Downloads: 28   Since Apr. 16, 2019 Views: 695   Since Apr. 16, 2019
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
Ayoub H. H. and Abu-Raddad L. J. 2016 Impact of treatment on hepatitis C virus transmission and incidence in Egypt: A case for treatment as prevention. Open access 24: 486- 495.
Birkhoff G and. Rota GC 1989 Ordinary Differential Equations. Wiley and Sons, New York.
Bowring A. L, Luhmann N, Pont S, Debaulieu C, Derozier S, Asouab T, Toufik A, Gemert C, Dietze P and Stoove M 2012 An urgent need to scale-up injecting drug harm reduction services in Tanzania: Prevalence of blood-borne viruses among drug users in Temeke District, Dar-es-Salaam, 2011. International Journal of Drug Policy 24: 78-81.
Cai L and Li Z 2010 Analysis of a simple vector-host epidemic model with direct transmission. College of Mathematics and Information Science, China.
Castillo-Chavez C, Feng Z and Huang W 2002 Mathematical Approaches for Emerging and Re-Emerging Infectious Diseases: An Introduction. Springer Verlag Health GROVE, vol. 125.
Heffernan A, Cooke G. S, Nayagam S, Thursz M and Hallett T. B 2019 Scaling up prevention and treatment towards the elimination of hepatitis C: a global mathematical model. Open Access, 18: 32277-3.
Kitundu J, Msengi A, Matee M, Fataki M, Kazimoto T, Mpembeni R, Mnubhi E, Kalokola F: Post-transfusion hepatitis C seroprevalence in Tanzanian children. Ann Trop Paediatr 2001, 21: 343-348.
Korobeinikov A 2004 Lyapunov functions and global properties for SEIR and SEIS epidemic models. Math. Med. Biol 21: 75-83.
Mwanga G, Haario H and Nannyonga B. K 2014 Optimal Control of Malaria Model with Drug Resistance in Presence of Parameter. Applied Math. Sciences 55: 2701–2730. National AIDS Treatment Advocacy Project (NATA) 2005 Hepatitis C virus (HCV) and HCV/HIV co-infection handbook, version 5.
Telatela S. P, Mecky M. I, Munudhi E. K: Seroprevalence of hepatitis human immunodeficiency virus attending the paediatric HIV care and treatment center at Muhimbili National Hospital in Dar es salaam, Tanzania. BMC Public Health 2007, 7: 338.
Tahir D, Lashari A. A and Okosun K. O 2017 Analysis of a Model for Hepatitis C Virus Transmission that Includes the Effects of Vaccination and Waning Immunity. WSEAS Transactions on Mathematics 16: 447-461.
Van den Driessche P and Watmough J 2002 Reproduction numbers and Sub-threshold endemic equilibria for compartmental models of disease transmission. Mathematical Bio-sciences 180: 29-48.
World Health Organization (WHO) 2007 Hepatitis C – global prevalence (update). Wkly Epidemiol. Xiridou M, Borkent-Raven B, Hulshof J, Wallinga J 2009 How Hepatitis D Virus Can Hinder the Control of Hepatitis B Virus. PLoS one 4: 1.
Open Science Scholarly Journals
Open Science is a peer-reviewed platform, the journals of which cover a wide range of academic disciplines and serve the world's research and scholarly communities. Upon acceptance, Open Science Journals will be immediately and permanently free for everyone to read and download.
Office Address:
228 Park Ave., S#45956, New York, NY 10003
Phone: +(001)(347)535 0661
Copyright © 2013-, Open Science Publishers - All Rights Reserved