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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| Format: | Thesis |
| Language: | English |
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Universiti Malaysia Sarawak, (UNIMAS)
2010
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| Online Access: | http://ir.unimas.my/id/eprint/13125/ http://ir.unimas.my/id/eprint/13125/1/Kon.pdf |
| _version_ | 1848837344460800000 |
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| author | Kon, Cynthia Mui Lian |
| author_facet | Kon, Cynthia Mui Lian |
| author_sort | Kon, Cynthia Mui Lian |
| building | UNIMAS Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T06:38:10Z |
| format | Thesis |
| id | unimas-13125 |
| institution | Universiti Malaysia Sarawak |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T06:38:10Z |
| publishDate | 2010 |
| publisher | Universiti Malaysia Sarawak, (UNIMAS) |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | unimas-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. |
| spellingShingle | QA Mathematics R Medicine (General) Kon, Cynthia Mui Lian Mathematical modeling of the transmission dynamics of Malaria |
| title | 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_short | Mathematical modeling of the transmission dynamics of Malaria |
| title_sort | mathematical modeling of the transmission dynamics of malaria |
| topic | QA Mathematics R Medicine (General) |
| url | http://ir.unimas.my/id/eprint/13125/ http://ir.unimas.my/id/eprint/13125/1/Kon.pdf |