Mathematical modeling of the transmission dynamics of Malaria

This thesis focuses on the development of appropriate compartmental models to describe the transmission dynamics of malaria so that the spread of this disease and its impact on the population can be comprehended in a deeper level. Firstly, a basic model is constructed where we have a system of dif...

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Main Author:	Kon, Cynthia Mui Lian
Format:	Thesis
Language:	English
Published:	2010
Subjects:	QA Mathematics R Medicine (General)
Online Access:	http://ir.unimas.my/id/eprint/13125/1/Kon.pdf
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id	my-unimas-ir.13125
record_format	uketd_dc
spelling	my-unimas-ir.131252023-06-20T04:11:39Z Mathematical modeling of the transmission dynamics of Malaria 2010 Kon, Cynthia Mui Lian QA Mathematics R Medicine (General) This thesis focuses on the development of appropriate compartmental models to describe the transmission dynamics of malaria so that the spread of this disease and its impact on the population can be comprehended in a deeper level. Firstly, a basic model is constructed where we have a system of differential equations for both the human and mosquito population. The basic eproduction number, R0 is defined and the stability of disease-free equilibrium points when 0 <1 and instability when R0>1 are analysed using the Routh-Hurwitz criterion and Descartes rule. Universiti Malaysia Sarawak, (UNIMAS) 2010 Thesis http://ir.unimas.my/id/eprint/13125/ http://ir.unimas.my/id/eprint/13125/1/Kon.pdf text en validuser masters Faculty of Computer and Information Technology Universiti Malaysia Sarawak, (UNIMAS)
institution	Universiti Malaysia Sarawak
collection	UNIMAS Institutional Repository
language	English
topic	QA Mathematics R Medicine (General)
spellingShingle	QA Mathematics R Medicine (General) Kon, Cynthia Mui Lian Mathematical modeling of the transmission dynamics of Malaria
description	This thesis focuses on the development of appropriate compartmental models to describe the transmission dynamics of malaria so that the spread of this disease and its impact on the population can be comprehended in a deeper level. Firstly, a basic model is constructed where we have a system of differential equations for both the human and mosquito population. The basic eproduction number, R0 is defined and the stability of disease-free equilibrium points when 0 <1 and instability when R0>1 are analysed using the Routh-Hurwitz criterion and Descartes rule.
format	Thesis
qualification_level	Master's degree
author	Kon, Cynthia Mui Lian
author_facet	Kon, Cynthia Mui Lian
author_sort	Kon, Cynthia Mui Lian
title	Mathematical modeling of the transmission dynamics of Malaria
title_short	Mathematical modeling of the transmission dynamics of Malaria
title_full	Mathematical modeling of the transmission dynamics of Malaria
title_fullStr	Mathematical modeling of the transmission dynamics of Malaria
title_full_unstemmed	Mathematical modeling of the transmission dynamics of Malaria
title_sort	mathematical modeling of the transmission dynamics of malaria
granting_institution	Faculty of Computer and Information Technology
granting_department	Universiti Malaysia Sarawak, (UNIMAS)
publishDate	2010
url	http://ir.unimas.my/id/eprint/13125/1/Kon.pdf
_version_	1783728128162529280

Mathematical modeling of the transmission dynamics of Malaria

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