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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: Universiti Malaysia Sarawak, (UNIMAS) 2010
Subjects:
QA Mathematics
R Medicine (General)
Online Access:http://ir.unimas.my/id/eprint/13125/1/Kon.pdf
http://ir.unimas.my/id/eprint/13125/
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spelling my.unimas.ir.131252023-06-20T04:11:39Z http://ir.unimas.my/id/eprint/13125/ Mathematical modeling of the transmission dynamics of Malaria 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 NonPeerReviewed text en http://ir.unimas.my/id/eprint/13125/1/Kon.pdf Kon, Cynthia Mui Lian (2010) Mathematical modeling of the transmission dynamics of Malaria. Masters thesis, Faculty of Computer and Information Technology.
institution Universiti Malaysia Sarawak
building Centre for Academic Information Services (CAIS)
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Sarawak
content_source UNIMAS Institutional Repository
url_provider http://ir.unimas.my/
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
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
publisher Universiti Malaysia Sarawak, (UNIMAS)
publishDate 2010
url http://ir.unimas.my/id/eprint/13125/1/Kon.pdf
http://ir.unimas.my/id/eprint/13125/
_version_ 1769847613783277568
score 13.211869

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