A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District.
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Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Kabale University
Abstract
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.
Description
Keywords
Mathematical Model, Transimission Dynamics, Malaria, Kabale District, Western Uganda
Citation
Ayebare, Docus (2024). A Mathematical Model for the Transimission Dynamics of Malaria in Western Uganda: A Case Study of Kabale District. Kabale: Kabale Univerity.