Modelling the effect of treatment and infected immigrants on the spread of hepatitis c virus disease with acute and chronic stages
| dc.contributor.author | Ainea, Neterindwa | |
| dc.date.accessioned | 2020-02-07T14:06:39Z | |
| dc.date.available | 2020-02-07T14:06:39Z | |
| dc.date.issued | 2011 | |
| dc.description | Available in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF RC848.H425A46) | en_US |
| dc.description.abstract | A mathematical model on the effect of Treatment and Infected Immigrants on the spread of Hepatitis C Virus disease with Acute and Chronic stages has been studied. This study intends to improve the work by Cai and Li (2007), by including the aspect of infective immigrants and treatment in a homogeneous population. Effective Reproduction Number (Re) computed by using next generation operator approach. The stability of the system has been analyzed for the existence of the disease free and endemic equilibrium points, and it has been shown that the disease free equilibrium point is locally asymptotically stable when Re < 1 otherwise the disease is endemic. The model undergoes forward bifurcation, and consequently occurs at Re=1. If Re >1, the endemic solution exists and is a global attractor while the disease free solution is a saddle point. Numerical results show that disease become more endemic due to the presence of Infected immigrants in the community. It is also indicated that in the presence of treatment, the rate of infected immigrants (acute and chronic) decreases and consequently the treated infected individuals decreases continuously. From the analysis. it may be hypothesized that preventive measures, through reducing rates of transmission of HCV are therefore necessary to the conununity. The national health care to HCV should seek to ensure that all people at risk or that have been at risk in the past, have access to and are supported in the use of HCV education and prevention regardless of their social and economic status. | en_US |
| dc.identifier.citation | Ainea N.(2011) Modelling the effect of treatment and infected immigrants on the spread of hepatitis c virus disease with acute and chronic stages. Master dissertation, University of Dar es Salaam. Dar es Salaam. | en_US |
| dc.identifier.uri | http://41.86.178.5:8080/xmlui/handle/123456789/6933 | |
| dc.language.iso | en | en_US |
| dc.publisher | University of Dar es Salaam | en_US |
| dc.subject | Hepatitis C | en_US |
| dc.subject | Hepatitis | en_US |
| dc.subject | Non-A | en_US |
| dc.subject | Non-B | en_US |
| dc.subject | Mathematical models | en_US |
| dc.title | Modelling the effect of treatment and infected immigrants on the spread of hepatitis c virus disease with acute and chronic stages | en_US |
| dc.type | Thesis | en_US |