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An SIR Cholera Model with Vaccination, Therapeutic<br />

Treatment and Water Sanitation<br />

Sarah Rahimah Binti Othman<br />

Supervisor: Dr. Chong Nyuk Sian<br />

Bachelor of Science (Financial Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Cholera is an infectious disease caused by bacteria, Vibrio Cholera that can lead to<br />

dehydration and even death if proper treatment is not taken. Here, we would like to<br />

propose an SIR (Susceptible-Infected-Recovered) model incorporate vaccination,<br />

therapeutic treatment and water sanitation to investigate the spreading of cholera. The<br />

existence of equilibrium point is examined and the stability of the model is analyzed.<br />

There exists two equilibria (i.e., the disease-free and endemic equilibria) in the model.<br />

We find that, cholera will either die off or persist under certain conditions. Furthermore,<br />

numerical simulation are carried out in order to illustrate the dynamics of disease<br />

transmission and validate our theoretical results. By increasing the rates of vaccination,<br />

therapeutic treatment and water sanitation, we will able to control the cholera outbreak.<br />

882 | UMT UNDERGRADUATE RESEARCH DAY 2018

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