Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin

Mathematical model acts as a tool to understand and explain the dynamics of infectious diseases transmissions and SIR model is one ot the mathematical models. In this research, SIR model is used to study and understand the tuberculosis infections in Terengganu. SIR model divides a population into th...

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Main Authors:	Azmy, Nabilah Nasuha, Mohd Nordin, Nur Diana Syamira
Format:	Thesis
Language:	English
Published:	2019
Subjects:	Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Algorithms
Online Access:	https://ir.uitm.edu.my/id/eprint/41184/1/41184.pdf
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id	my-uitm-ir.41184
record_format	uketd_dc
spelling	my-uitm-ir.411842021-02-02T05:17:40Z Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin 2019-07 Azmy, Nabilah Nasuha Mohd Nordin, Nur Diana Syamira Mathematical statistics. Probabilities Differential equations. Runge-Kutta formulas Analytical methods used in the solution of physical problems Algorithms Mathematical model acts as a tool to understand and explain the dynamics of infectious diseases transmissions and SIR model is one ot the mathematical models. In this research, SIR model is used to study and understand the tuberculosis infections in Terengganu. SIR model divides a population into three groups: susceptible (S), infected (I), and recovered (R). Susceptible group contains individuals that have never been infected and they are exposed to the disease. While the infected groups contain individuals who are infected to the disease and recovered group contains individuals who are cured from the disease. Euler and Fourth Order Runge-Kutta methods are implemented into this model because they are well suited to solve initial value problem (IVP) for ordinary differential equation (ODE). Both of these methods are the numerical approaches to extract solutions from the basic eauations of SIR model. As a conclusion, the best method to get the better prediction by using SIR model is Fourth Order Runge-Kutta method. 2019-07 Thesis https://ir.uitm.edu.my/id/eprint/41184/ https://ir.uitm.edu.my/id/eprint/41184/1/41184.pdf text en public degree Universiti Teknologi MARA Faculty of Computer and Mathematical Sciences Mohd Yusof, Zanariah
institution	Universiti Teknologi MARA
collection	UiTM Institutional Repository
language	English
advisor	Mohd Yusof, Zanariah
topic	Mathematical statistics Probabilities Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Algorithms
spellingShingle	Mathematical statistics Probabilities Mathematical statistics Probabilities Analytical methods used in the solution of physical problems Algorithms Azmy, Nabilah Nasuha Mohd Nordin, Nur Diana Syamira Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin
description	Mathematical model acts as a tool to understand and explain the dynamics of infectious diseases transmissions and SIR model is one ot the mathematical models. In this research, SIR model is used to study and understand the tuberculosis infections in Terengganu. SIR model divides a population into three groups: susceptible (S), infected (I), and recovered (R). Susceptible group contains individuals that have never been infected and they are exposed to the disease. While the infected groups contain individuals who are infected to the disease and recovered group contains individuals who are cured from the disease. Euler and Fourth Order Runge-Kutta methods are implemented into this model because they are well suited to solve initial value problem (IVP) for ordinary differential equation (ODE). Both of these methods are the numerical approaches to extract solutions from the basic eauations of SIR model. As a conclusion, the best method to get the better prediction by using SIR model is Fourth Order Runge-Kutta method.
format	Thesis
qualification_level	Bachelor degree
author	Azmy, Nabilah Nasuha Mohd Nordin, Nur Diana Syamira
author_facet	Azmy, Nabilah Nasuha Mohd Nordin, Nur Diana Syamira
author_sort	Azmy, Nabilah Nasuha
title	Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin
title_short	Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin
title_full	Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin
title_fullStr	Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin
title_full_unstemmed	Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin
title_sort	prediction of tuberculosis disease using sir model with implementation of euler and fourth order runge-kutta methods / nabilah nasuha azmy & nur diana syamira mohd nordin
granting_institution	Universiti Teknologi MARA
granting_department	Faculty of Computer and Mathematical Sciences
publishDate	2019
url	https://ir.uitm.edu.my/id/eprint/41184/1/41184.pdf
_version_	1783734618340458496

Prediction of tuberculosis disease using SIR model with implementation of Euler and Fourth Order Runge-Kutta methods / Nabilah Nasuha Azmy & Nur Diana Syamira Mohd Nordin

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