A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District.
The aim of this research was to construct a mathematical framework describing the transmission dynamics of malaria in western Uganda. Malaria persists as one of the most widespread and deadly human infections globally, caused by the Plasmodium parasite and transmitted by female Anopheles mosquitoes...
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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/20.500.12493/2085 |
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| author | Ayebare, Docus |
| author_facet | Ayebare, Docus |
| author_sort | Ayebare, Docus |
| collection | KAB-DR |
| description | The aim of this research was to construct a mathematical framework describing the transmission dynamics of malaria in western Uganda. Malaria persists as one of the most widespread and deadly human infections globally, caused by the Plasmodium parasite and transmitted by female Anopheles mosquitoes during blood feeding. The mathematical model utilized in this study was structured upon the SIER framework.
The model incorporated an analysis of both disease-free and endemic equilibrium points to assess their stability. Employing a matrix-based approach, the basic reproduction number R0 was calculated to quantify disease transmission dynamics. The findings indicate that the disease-free equilibrium of the model is stable locally and globally when R0 is less than 1. Conversely, the endemic equilibrium solution of the model was demonstrated to be globally asymptotically stable when R0 exceeds 1. |
| format | Thesis |
| id | oai:idr.kab.ac.ug:20.500.12493-2085 |
| institution | KAB-DR |
| language | en_US |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-20852024-08-01T00:00:50Z A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. Ayebare, Docus Mathematical Model Transimission Dynamics Malaria Kabale District Western Uganda The aim of this research was to construct a mathematical framework describing the transmission dynamics of malaria in western Uganda. Malaria persists as one of the most widespread and deadly human infections globally, caused by the Plasmodium parasite and transmitted by female Anopheles mosquitoes during blood feeding. The mathematical model utilized in this study was structured upon the SIER framework. The model incorporated an analysis of both disease-free and endemic equilibrium points to assess their stability. Employing a matrix-based approach, the basic reproduction number R0 was calculated to quantify disease transmission dynamics. The findings indicate that the disease-free equilibrium of the model is stable locally and globally when R0 is less than 1. Conversely, the endemic equilibrium solution of the model was demonstrated to be globally asymptotically stable when R0 exceeds 1. 2024-06-20T09:05:34Z 2024-06-20T09:05:34Z 2024 Thesis Ayebare, Docus (2024). A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. Kabale: Kabale Univerity. http://hdl.handle.net/20.500.12493/2085 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 Model Transimission Dynamics Malaria Kabale District Western Uganda Ayebare, Docus A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. |
| title | A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. |
| title_full | A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. |
| title_fullStr | A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. |
| title_full_unstemmed | A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. |
| title_short | A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. |
| title_sort | mathematical model for the transimission dynamics of malaria in western uganda a case study of kabale district |
| topic | Mathematical Model Transimission Dynamics Malaria Kabale District Western Uganda |
| url | http://hdl.handle.net/20.500.12493/2085 |
| work_keys_str_mv | AT ayebaredocus amathematicalmodelforthetransimissiondynamicsofmalariainwesternugandaacasestudyofkabaledistrict AT ayebaredocus mathematicalmodelforthetransimissiondynamicsofmalariainwesternugandaacasestudyofkabaledistrict |