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Mathematical Modelling and Analysis of Dynamics of Malaysian
Population-Based on Socioeconomic Status
Nur Qistina Sharmini Binti Adam Ranjeet
Supervisor: Dr. Auni Aslah Bin Mat Daud
Bachelor of Science (Financial Mathematics)
School of Informatics and Applied Mathematics
A good level of socio-economy is important because this will be the indicators for
determining the progress of a country. The objectives of this study are to develop a
mathematical model of Malaysian population dynamics based on socioeconomic status,
carry out the stability analysis of the developed model and conduct the sensitivity analysis
on the model parameters. The dependent variables of the model are hardcore poverty,
poverty, easy poverty and not poor. The model is governed by a system of linear first
order ordinary differential equations. The local stability analysis of the equilibrium points
of the model is conducted using Jacobian matrix and Routh-Hurwitz criteria. To get the
equilibrium points, we will be using MATLAB. The sensitivity analysis is performed using
the normalized forward index sensitivity to determine the dominant model parameters.
864 | UMT UNDERGRADUATE RESEARCH DAY 2018