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

Azmy, Nabilah Nasuha and Mohd Nordin, Nur Diana Syamira (2019) 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. Degree thesis, Universiti Teknologi MARA.

Abstract

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.

Metadata

Item Type: Thesis (Degree)
Creators:
CreatorsEmail / ID. Num
Azmy, Nabilah Nasuha2016564711
Mohd Nordin, Nur Diana Syamira2016565887
Contributors:
ContributionNameID Num. / Email
Thesis advisorMohd Yusof, ZanariahUNSPECIFIED
Subjects: Q Science > QA Mathematics > Mathematical statistics. Probabilities
Q Science > QA Mathematics > Analysis > Differential equations. Runge-Kutta formulas
Q Science > QA Mathematics > Analysis > Analytical methods used in the solution of physical problems
Q Science > QA Mathematics > Instruments and machines > Electronic Computers. Computer Science > Algorithms
Divisions: Universiti Teknologi MARA, Terengganu > Kuala Terengganu Campus > Faculty of Computer and Mathematical Sciences
Programme: Bachelor of Science (Hons) Computational Mathematics
Item ID: 41184
Uncontrolled Keywords: Tuberculosis Disease ; SIR Model ; Euler ; Fourth Order Runge-Kutta Methods ; Ordinary Differential Equation
URI: http://ir.uitm.edu.my/id/eprint/41184

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