Modelling the impact of street children on the transmission dynamics of HIV/aids

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dc.contributor.authorAlly, Mwananzila Salim
dc.date.accessioned2019-12-06T05:59:04Z
dc.date.accessioned2020-01-07T15:46:17Z
dc.date.available2019-12-06T05:59:04Z
dc.date.available2020-01-07T15:46:17Z
dc.date.issued2015
dc.descriptionAvailable in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF HV873.A44)en_US
dc.description.abstractKnowledge about the impact of street children on the dynamics of HIV=AIDS transmission is important in the design and evaluation of programmes to support children living in risky environment. A mathematical model that investigates the impact of street children on the transmission dynamics of HIV/AIDS is formulated and analysed. The threshold parameter that governs the disease transmission is computed by the next generation operator approach. The results show that, the disease free equilibrium point is asymptotically stable when the basic reproduction number is less than unity and unstable when the basic reproduction number is greater than unity. Furthermore comprehensive analysis on the two steady states (disease free and endemic) has shown that they are both globally and asymptotically stable. Sensitivity analysis is performed on the relative importance of parameters to the basic reproduction number, and the results show that, street children increase the rate of transmission of HIV infections. Finally, numerical simulation shows that, street children have an impact in increasing the rate of transmission of HIV infectionen_US
dc.identifier.citationAlly, M. S. (2015) Modelling the impact of street children on the transmission dynamics of HIV/aids, Master dissertation, University of Dar es Salaam, Dar es Salaamen_US
dc.identifier.urihttp://localhost:8080/xmlui/handle/123456789/1850
dc.language.isoenen_US
dc.publisherUniversity of Dar es Salaamen_US
dc.subjectStreet childrenen_US
dc.subjectAIDS (Diseases)en_US
dc.subjectMathematical modelsen_US
dc.titleModelling the impact of street children on the transmission dynamics of HIV/aidsen_US
dc.typeThesisen_US
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