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Modeling the spread of dengue fever by using SIR model

The establishment and spread of dengue fever is a complex phenomenon with many factors that interact with each other. This report present a study on a mathematical model, the SIR (Susceptible, Infected and Recovered) that serve as a framework for understanding the spread of the infectious dengue fev...

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Main Authors: Hor, Ming An, Mohammad Yusof, Yudariah
Format: Conference or Workshop Item
Language:English
Published: 2015
Subjects:
RB Pathology
Online Access:http://eprints.utm.my/id/eprint/61975/1/YudariahMohammadYusof2015_ModelingtheSpreadofDengueFeverbyUsingSirModel.pdf
http://eprints.utm.my/id/eprint/61975/
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spelling my.utm.619752017-08-22T07:24:21Z http://eprints.utm.my/id/eprint/61975/ Modeling the spread of dengue fever by using SIR model Hor, Ming An Mohammad Yusof, Yudariah RB Pathology The establishment and spread of dengue fever is a complex phenomenon with many factors that interact with each other. This report present a study on a mathematical model, the SIR (Susceptible, Infected and Recovered) that serve as a framework for understanding the spread of the infectious dengue fever. We begin with a brief discussion of the origin and historical development of the disease. This is followed by a review on the relation between the three compartments, susceptible, infected and recovered. The modeling steps that lead to the SIR model using ordinary differential equation is explained in detail. The solution gives the basic reproduction number R_0, and this basic reproduction number is use to determine whether the dengue fever will dies out or persists in human population in the long run. The disease-free equilibrium point is determined and R_0 is used to determine whether the disease free equilibrium is stable or unstable. Establishing the endemic equilibrium point determines when the dengue fever will become calm. 2015 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/61975/1/YudariahMohammadYusof2015_ModelingtheSpreadofDengueFeverbyUsingSirModel.pdf Hor, Ming An and Mohammad Yusof, Yudariah (2015) Modeling the spread of dengue fever by using SIR model. In: Projek Sarjana Muda Sains, 15 Feb - 31 Jul, 2015, Johor Bahru, Johor.
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic RB Pathology
spellingShingle RB Pathology
Hor, Ming An
Mohammad Yusof, Yudariah
Modeling the spread of dengue fever by using SIR model
description The establishment and spread of dengue fever is a complex phenomenon with many factors that interact with each other. This report present a study on a mathematical model, the SIR (Susceptible, Infected and Recovered) that serve as a framework for understanding the spread of the infectious dengue fever. We begin with a brief discussion of the origin and historical development of the disease. This is followed by a review on the relation between the three compartments, susceptible, infected and recovered. The modeling steps that lead to the SIR model using ordinary differential equation is explained in detail. The solution gives the basic reproduction number R_0, and this basic reproduction number is use to determine whether the dengue fever will dies out or persists in human population in the long run. The disease-free equilibrium point is determined and R_0 is used to determine whether the disease free equilibrium is stable or unstable. Establishing the endemic equilibrium point determines when the dengue fever will become calm.
format Conference or Workshop Item
author Hor, Ming An
Mohammad Yusof, Yudariah
author_facet Hor, Ming An
Mohammad Yusof, Yudariah
author_sort Hor, Ming An
title Modeling the spread of dengue fever by using SIR model
title_short Modeling the spread of dengue fever by using SIR model
title_full Modeling the spread of dengue fever by using SIR model
title_fullStr Modeling the spread of dengue fever by using SIR model
title_full_unstemmed Modeling the spread of dengue fever by using SIR model
title_sort modeling the spread of dengue fever by using sir model
publishDate 2015
url http://eprints.utm.my/id/eprint/61975/1/YudariahMohammadYusof2015_ModelingtheSpreadofDengueFeverbyUsingSirModel.pdf
http://eprints.utm.my/id/eprint/61975/
_version_ 1643655293136011264
score 13.211869

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