Modelling cancer that is HIV-related in the presence of treatment
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Authors
Sekgobela, Thaithai Wilcan
Issue Date
2021-09
Type
Dissertation
Language
en
Keywords
SDG 3 Good Health and Well-being
Alternative Title
Abstract
In this study, a theoretical nonlinear mathematical model was revised to understand the inter action of HIV-related cancer cells dynamics with treatment. The work done is adopted from
the paper by Lou et al. This work develops a mathematical model that combines healthy CD4+
cells, cancer cells, HIV-infected T cells, and cancer HIV-infected cells. The well-posedness of
the model is established and discussed. The computation of reproduction numbers, equilibria,
and stabilities are analyzed. Numerical simulations are carried out to determine the parameters
that have a high impact on the spread of the disease and Matlab software was used for the
numerical simulations. The numerical simulations for the model with no treatment show that
the disease will persist. To curb this situation, we introduced the model that incorporated
treatment, that is, HAART coupled with Chemotherapy to control the rate of infected T-cells
with time. The results obtained are consistent with those obtained by Carvalho et al., Aogo et
al., and Kaondera et a