Mathematical Model for Transmission and Control of Tuberculosis in Humans.
Despite all efforts to curb and exterminate the menace of Tuberculosis (TB) epidemics in the human population, the disease remains one of the major causes of death, with one–third of the world’s population infected. In this project, we study a deterministic mathematical model to have a better insigh...
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| Format: | Thesis |
| Language: | English |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/2680 |
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| _version_ | 1823844185274318848 |
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| author | Niringiyimana, Innocent |
| author_facet | Niringiyimana, Innocent |
| author_sort | Niringiyimana, Innocent |
| collection | KAB-DR |
| description | Despite all efforts to curb and exterminate the menace of Tuberculosis (TB) epidemics in the human population, the disease remains one of the major causes of death, with one–third of the world’s population infected. In this project, we study a deterministic mathematical model to have a better insight in the transmission dynamics of TB. The model is shown to have a disease-free equilibrium, E0, and its local stability is established using the basic reproduction number, Ro. If Ro < 1, the infection can be controlled and then eradicated and when Ro > 1, the disease will persist. |
| format | Thesis |
| id | oai:idr.kab.ac.ug:20.500.12493-2680 |
| institution | KAB-DR |
| language | English |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-26802025-01-01T00:01:06Z Mathematical Model for Transmission and Control of Tuberculosis in Humans. Niringiyimana, Innocent Mathematical Model Transmission Control Tuberculosis Humans Despite all efforts to curb and exterminate the menace of Tuberculosis (TB) epidemics in the human population, the disease remains one of the major causes of death, with one–third of the world’s population infected. In this project, we study a deterministic mathematical model to have a better insight in the transmission dynamics of TB. The model is shown to have a disease-free equilibrium, E0, and its local stability is established using the basic reproduction number, Ro. If Ro < 1, the infection can be controlled and then eradicated and when Ro > 1, the disease will persist. 2024-12-31T12:58:46Z 2024-12-31T12:58:46Z 2024 Thesis Niringiyimana Innocent (2024). Mathematical Model for Transmission and Control of Tuberculosis in Humans. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/2680 en Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University |
| spellingShingle | Mathematical Model Transmission Control Tuberculosis Humans Niringiyimana, Innocent Mathematical Model for Transmission and Control of Tuberculosis in Humans. |
| title | Mathematical Model for Transmission and Control of Tuberculosis in Humans. |
| title_full | Mathematical Model for Transmission and Control of Tuberculosis in Humans. |
| title_fullStr | Mathematical Model for Transmission and Control of Tuberculosis in Humans. |
| title_full_unstemmed | Mathematical Model for Transmission and Control of Tuberculosis in Humans. |
| title_short | Mathematical Model for Transmission and Control of Tuberculosis in Humans. |
| title_sort | mathematical model for transmission and control of tuberculosis in humans |
| topic | Mathematical Model Transmission Control Tuberculosis Humans |
| url | http://hdl.handle.net/20.500.12493/2680 |
| work_keys_str_mv | AT niringiyimanainnocent mathematicalmodelfortransmissionandcontroloftuberculosisinhumans |