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Mathematical Modelling in HIV/AIDS Infection in Human Population
Nur Syahirah Afiqah Binti Safian
Supervisor: Dr. Chong Nyuk Sian
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
HIV is a major global public health challenge and currently we have millions of people
living with HIV. Thus, in this project, we would like to consider an HIV mathematical
model to examine the transmission dynamics of HIV/AIDS virus in human population. The
positively invariant and attracting region and the stability of the model will be analyzed.
We identify there are two equilibria exist in the model, i.e., the disease-free and endemic
equilibria. The stability of these two equilibria depends on the basic reproduction number
R 0 : the disease free equilibrium is locally asymptotically stable if R 0 ≤ 1, whereas the
endemic equilibrium achieves local asymptotic stability whenever R 0 > 1. In addition,
numerical simulations will be performed to illustrate the dynamic of this model and
validate our theoretical results. We find that the disease burden can be controlled by
reducing the effective contact rate of the infected population.
866 | UMT UNDERGRADUATE RESEARCH DAY 2018