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Mathematical Model for Control of Measles Epidemiology<br />

Nadia Izzaty Binti Shamsudin<br />

Supervisor: Dr. Chong Nyuk Sian<br />

Bachelor of Science (Financial Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Mathematical modelling is one of the important tools to study the spreading dynamics of<br />

infectious diseases. In this project, we employ an Susceptible-Exposed-Infected-<br />

Recovered (SEIR) model to examine the transmission dynamics of measles. The stability<br />

of the model is analysed. We discover that the stability of disease-free and endemic<br />

equilibria depends on the basic reproduction number, R0. That is the disease- free<br />

equilibrium is locally asymptotically stable if R0 < 1, whereas the endemic equilibrium is<br />

locally asymptotically stable if R0 > 1. Numerical simulations are carried out to illustrate<br />

the transmission dynamics of measles and validate the theoretical results. Therefore, in<br />

order to achieve the extinction of measles, we have to keep the basic reproduction<br />

number below the unity. Moreover, control strategy (such as vaccination and awareness<br />

programmes) should be employed to supress the infection rate.<br />

834 | UMT UNDERGRADUATE RESEARCH DAY 2018

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