Mathematical Modelling of the Transmission of Malaria.
In this report, we present a mathematical model for the transmission of malaria by female anopheles mosquitos. We determine the invariant region in which our model system lies. We clearly show the mechanism by which malaria spreads from one person to another. The model takes in the ordinally differe...
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| Format: | Thesis |
| Language: | en_US |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/1830 |
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| _version_ | 1813635238098632704 |
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| author | Atubangire, Felix |
| author_facet | Atubangire, Felix |
| author_sort | Atubangire, Felix |
| collection | KAB-DR |
| description | In this report, we present a mathematical model for the transmission of malaria by female anopheles mosquitos. We determine the invariant region in which our model system lies. We clearly show the mechanism by which malaria spreads from one person to another. The model takes in the ordinally differential equations. The basic reproduction number Ro is obtained. A stability analysis of the disease-free equilibrium was carried out for the case where there is no malaria in the population. Sensitivity analysis of the parameters to basic reproduction number. The results show that the basic reproduction number Ro is more sensitive to natural mortality. All working steps are included. |
| format | Thesis |
| id | oai:idr.kab.ac.ug:20.500.12493-1830 |
| institution | KAB-DR |
| language | en_US |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-18302024-08-01T00:00:39Z Mathematical Modelling of the Transmission of Malaria. Atubangire, Felix Mathematical Modelling Transmission Malaria In this report, we present a mathematical model for the transmission of malaria by female anopheles mosquitos. We determine the invariant region in which our model system lies. We clearly show the mechanism by which malaria spreads from one person to another. The model takes in the ordinally differential equations. The basic reproduction number Ro is obtained. A stability analysis of the disease-free equilibrium was carried out for the case where there is no malaria in the population. Sensitivity analysis of the parameters to basic reproduction number. The results show that the basic reproduction number Ro is more sensitive to natural mortality. All working steps are included. 2024-01-25T08:29:43Z 2024-01-25T08:29:43Z 2019 Thesis Atubangire, Felix (2019). Mathematical Modelling of the Transmission of Malaria. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/1830 en_US Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University |
| spellingShingle | Mathematical Modelling Transmission Malaria Atubangire, Felix Mathematical Modelling of the Transmission of Malaria. |
| title | Mathematical Modelling of the Transmission of Malaria. |
| title_full | Mathematical Modelling of the Transmission of Malaria. |
| title_fullStr | Mathematical Modelling of the Transmission of Malaria. |
| title_full_unstemmed | Mathematical Modelling of the Transmission of Malaria. |
| title_short | Mathematical Modelling of the Transmission of Malaria. |
| title_sort | mathematical modelling of the transmission of malaria |
| topic | Mathematical Modelling Transmission Malaria |
| url | http://hdl.handle.net/20.500.12493/1830 |
| work_keys_str_mv | AT atubangirefelix mathematicalmodellingofthetransmissionofmalaria |