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Mathematical Modelling and Analysis of Political<br />

Tendency in Two-Party System<br />

Nor Azierah Binti Dawam<br />

Supervisor: Dr. Auni Aslah Binti Mat Daud<br />

Bachelor of Science (Financial Mathematics)<br />

School of Informatics and Applied Mathematics<br />

Malaysia is one of the countries which practices a Two-Party System. In this study, a<br />

mathematical model for the population dynamics of the voters in the Two-Party System<br />

is proposed. The dependent variables of the model are number of indecisive voters,<br />

number of Barisan Nasional supporters, and number of Pakatan Rakyat supporters. The<br />

model is governed by a system of non-linear first order ordinary differential equations.<br />

The equilibrium points of the model have been obtained analytically and MATLAB is used<br />

to verify the results that obtained manually. Their local asymptotic stability has been<br />

analysed using Routh Hurwitz criteria. The result of this study shows that the equilibrium<br />

points are locally asymptotic stable. The sensitivity analysis is carried out using the<br />

normalized forward sensitivity index to identify the dominant parameters in the dynamics<br />

of voters.<br />

843 | UMT UNDERGRADUATE RESEARCH DAY 2018

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