Pusat Pengajian Sains Matematik - Tesis

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    Modified Deterministic Modelling For Tuberculosis Infection
    (2024-03)
    Sulayman, Fatima
    Tuberculosis (TB), caused by the Mycobacterium tuberculosis, is one of the contagious disease that mainly attacks human lungs and caused 10.6 million new infection globally, with an average of 1.6 million people dying. In general, mathematical modelling can serve to understand the transmission pattern and identify suitable controls in preventing the infections. Through mathematical modelling as well, the dynamics of an infection can be predicted more effectively. This in turn leads to the main purpose of this thesis where four compartmental deterministic models for tuberculosis infection is proposed. The developed models addressed the important factors related to the transmission of tuberculosis infection, such as public health education and hospital treatment, an imperfect vaccine, nonlinear saturated recovery (treatment) and optimal control.
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    Modelling The Nexus Between Energy-Economic Growth Using The Long Panel Data Estimations
    (2024-01)
    Sim, Khang Yi
    This thesis examines a two-way causal relationship between energy consumption and economic growth for two panel groups, i.e., low and lower-middle-income economies (Group 1) and high-income economies (Group 2), over 1990–2019 with quarterly datasets. Apart from the first objective, this thesis aims to address various estimation issues related to long panel data that conventional panel models frequently overlook, covering nonstationary or cointegration, slope heterogeneity, cross-sectional dependence and dynamic effect.
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    Improvement Of Curve Construction Using Bi-Qt Bezier Curves And Approximation To Two Types Of Bezier Curves
    (2024-02)
    Nordin, Mohamad Ekram
    A new approach, namely an optimized bi-QT-Bezier, for fitting curves to given 2D, is proposed. The conventional approach includes additional constraints to uniquely determine the biarc. The proposed method integrates the formulation of a single biarc based on the Quadratic Trigonometric (QT)-Bezier curve with Particle Swarm Optimization (PSO). The proposed bi-QT-Bezier curve is advantageous in curve fitting as it provides an optimized value of α from the PSO method.
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    Curve Fitting With Bootstrap Error Analysis And Its Application On Two-Dimensional Data
    (2019-08)
    Sahubar Ali, Nur Soffiah
    In data fitting, researchers use various methods to determine the quality of a fitting. Visualization of images is crucial in observing the behavior of data obtained. The problem in judging the accuracy of a result obtained through visual observation are commonly faced by researchers when handling contaminated data such as noisy data, missing data and outliers. In this research, study has been conducted to deal with those noisy data and missing data using least square titting (LSF).
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    Two-Dimensional Mathematical Model Named Tuna-Wq For Water Quality Analysis
    (2018-10)
    Chong, Michael Sueng Lock
    The main purpose of this study is to develop an in-house two-dimensional water quality model, codenamed TUNA-WQ, as an alternative to currently available water quality models, which are often either difficult to set up and limited in their application or are licensed.