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A Malaria Compartmental Model
Nur Husna Binti Ismail
Supervisor: Dr. Chong Nyuk Sian
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
Malaria – which is transmitted to human via the bites of infected female Anapheles
mosquitoes – is a scaring threat to global health. This disease has high mortality rate
especially if no proper treatment has been taken. We introduce a mathematical model
that is governed by nonlinear ordinary differential equations to examine the spread of
malaria. We discover that there are two equilibria exist in the model, i.e., the diseasefree
and endemic equilibria. We find that the stability of these two equilibria depends on
the basic reproduction number, R 0 . That is, the disease-free equilibrium achieve local
asymptotic stability if R 0 < 1, while the endemic equilibrium is locally asymptotically stable
if R 0 > 1. Moreover, numerical simulation is performed to depict the dynamical system of
this model and validate our analytical results. We find that both numerical and analytical
results are agreed.
859 | UMT UNDERGRADUATE RESEARCH DAY 2018