dc.contributor.advisor | Witbooi, Peter Joseph | |
dc.contributor.author | Nsuami, Mozart Umba | |
dc.date.accessioned | 2020-02-17T10:59:04Z | |
dc.date.available | 2020-02-17T10:59:04Z | |
dc.date.issued | 2019 | |
dc.identifier.uri | http://hdl.handle.net/11394/7114 | |
dc.description | >Magister Scientiae - MSc | en_US |
dc.description.abstract | The HIV/AIDS epidemic continues to be among the most devastating diseases in human
history despite the new scientific advances and serious public health interventions.
The greatest burden of HIV/AIDS is still in sub-Saharan Africa, and within this specific
region, women are severely affected. Despite an increase in prevention interventions, including
such as ARV treatment and pre-exposure prophylaxis (PrEP), behavioural change
remains a key role in the transmission of HIV/AIDS. In this thesis, we investigate several
related models for the population dynamics of HIV/AIDS epidemic model with treatment.
We start off with a four compartmental HIV deterministic model with stages of HIV infection
and with inflow of HIV infectives. Thereafter, we impose stochastic perturbations
on the underlying HIV/AIDS deterministic model without inflow of infectives. For this
version of HIV stochastic model, we prove global existence and positivity of solutions to
the HIV/AIDS-perturbed model. Some useful properties such as boundedness property,
stochastic permanence property and asymptotic stability have been derived. | en_US |
dc.language.iso | en | en_US |
dc.publisher | University of the Western Cape | en_US |
dc.subject | Incidence rate | en_US |
dc.subject | Almost sure exponential stability | en_US |
dc.subject | Asymptotic stability | en_US |
dc.subject | Basic reproduction number | en_US |
dc.subject | Stability in the mean | en_US |
dc.title | Stochastic modeling of an HIV/AIDS epidemic with treatment | en_US |
dc.rights.holder | University of the Western Cape | en_US |