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A Malaria Mathematical Model with Treatment<br />

Nur Suziana Binti Abd Manah<br />

Supervisor: Dr. Chong Nyuk Sian<br />

Bachelor of Science (Computational Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Malaria disease that is caused by Plasmodium parasites is a life-threatening disease if<br />

proper treatment or medication does not taken at the early stage of infection. Human<br />

can get infected by malaria disease via the bites of sick female Anopheles mosquitoes. In<br />

this project, we would like to investigate the malaria transmission in both mosquito and<br />

human populations via a compartmental model that is governed by nonlinear ordinary<br />

differential equations. The existence of equilibrium point is investigated and stability of<br />

the model is analyzed. We discover that there is a disease-free equilibrium and endemic<br />

equilibrium exist in the model and, under certain conditions, these two equilibria achieve<br />

local stability. Moreover, numerical simulations are performed to validate our analytical<br />

results.<br />

982 | UMT UNDERGRADUATE RESEARCH DAY 2018

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