Modelling the impact of different health care systems and dropouts on the dynamics of HIV/AIDS

Simple item page
dc.contributor.advisorNyabadza, Faraien_ZA
dc.contributor.advisorHui, Cangen_ZA
dc.contributor.authorObanla, Motunrayo Elizabethen_ZA
dc.contributor.otherStellenbosch University. Faculty of Science. Dept. of Mathematical Sciences.en_ZA
dc.date.accessioned2020-02-13T07:57:22Z
dc.date.accessioned2020-04-28T15:10:46Z
dc.date.available2020-02-13T07:57:22Z
dc.date.available2020-04-28T15:10:46Z
dc.date.issued2020-03
dc.descriptionThesis (MSc)--Stellenbosch University, 2020.en_ZA
dc.description.abstractENGLISH ABSTRACT: Side effects from antiretroviral drugs (ARVs) over time, present a major challenge to individuals on treatment and is a major cause of dropouts from treatment programs. The provision of treatment for the infected varies depending on their levels of affordability in many developing countries. In this thesis, we formulate a mathematical model to determine the impact of dropouts on the dynamics of HIV/AIDS which depends on different health care systems. We categorize the health care systems into two, private and public with the dropout rates being dependent on the health care system. The model’s steady states are determined and their stabilities presented in terms of the reproduction number, R0. Numerical simulations are carried out and the results suggest that the management of dropouts is significant to the dynamics and management of HIV/AIDS. The role of essential parameters is also investigated through sensitivity analysis that employs the Latin Hypercube Sampling technique. The results have implications to the management and policy designs with regards to health care systems, dropouts and disease progression.en_ZA
dc.description.abstractAFRIKAANSE OPSOMMING: Newe-effekte van antiretrovirale medisyne (ARV’s) met verloop van tyd, is ’n groot uitdaging vir individue wat op behandeling is en is die grootste oorsaak van die uitval van behandelingsprogramme. Die verskaffing van behandeling vir besmette wissel afhangend van hul bekostigbaarheidsvlakke in baie ontwikkelende lande. In hierdie tesis formuleer ons ’n wiskundige model om die impak van uitvalle op die dinamika van MIV / VIGS te bepaal wat afhang van verskillende gesondheidsorgstelsels. Ons kategoriseer die gesondheidsorgstelsels in twee, privaat en publiek, en die uitvalkoers is afhanklik van die gesondheidsorgstelsel. Die standvastoestande van die model word bepaal en hul stabiliteit word aangebied in terme van die reproduksienommer, R0. Numeriese simulasies word uitgevoer en die resultate dui daarop dat die bestuur van uitvalle belangrik is vir die dinamika en hantering van MIV / VIGS. Die rol van essensiele parameters word ook ondersoek deur middel van sensitiwiteitsanalise wat gebruik maak van die Latynse Hypercube Monsternemingstegniek. Die resultate het gevolge vir die bestuur en beleidsontwerpe ten opsigte van gesondheidsorgstelsels, uitvalle en progressie van siektes.af_ZA
dc.description.versionMastersen_ZA
dc.embargo.terms2020-12-31
dc.format.extentxiv, 87 pagesen_ZA
dc.identifier.urihttp://hdl.handle.net/10019.1/108356
dc.language.isoen_ZAen_ZA
dc.publisherStellenbosch : Stellenbosch Universityen_ZA
dc.rights.holderStellenbosch Universityen_ZA
dc.subjectUCTD
dc.subjectHIV infections -- Treatmenten_ZA
dc.subjectAntiretroviral agents -- Utilization -- Mathematical modelsen_ZA
dc.subjectHIV infections -- Dropouts -- Mathematical modelsen_ZA
dc.subjectHIV infections -- Managementen_ZA
dc.subjectSensitivity theory (Mathematics)en_ZA
dc.subjectHypercubeen_ZA
dc.titleModelling the impact of different health care systems and dropouts on the dynamics of HIV/AIDSen_ZA
dc.typeThesisen_ZA
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
obanla_impact_2020.pdf
Size:
2.78 MB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
1.71 KB
Format:
Plain Text
Description:
Download
Collections
Masters Degrees (Mathematical Sciences)