A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of Malaria
This study delves into the often-overlooked impact of immature mosquitoes on the dynamics of malaria transmission. By employing a mathematical model, we explore how these aquatic stages of the vector shape the spread of the disease. Our analytical findings are corroborated through numerical simulati...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2024-01-01
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| Series: | Computational and Mathematical Methods |
| Online Access: | http://dx.doi.org/10.1155/2024/5589805 |
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| author | Nantogmah Abdulai Sualey Philip N. A. Akuka Baba Seidu Joshua Kiddy K. Asamoah |
| author_facet | Nantogmah Abdulai Sualey Philip N. A. Akuka Baba Seidu Joshua Kiddy K. Asamoah |
| author_sort | Nantogmah Abdulai Sualey |
| collection | DOAJ |
| description | This study delves into the often-overlooked impact of immature mosquitoes on the dynamics of malaria transmission. By employing a mathematical model, we explore how these aquatic stages of the vector shape the spread of the disease. Our analytical findings are corroborated through numerical simulations conducted using the Runge–Kutta fourth-order method in MATLAB. Our research highlights a critical factor in malaria epidemiology: the basic reproduction number R0. We demonstrate that when R0 is below unity R0<1, the disease-free equilibrium exhibits local asymptotic stability. Conversely, when R0 surpasses unity R0>1, the disease-free equilibrium becomes unstable, potentially resulting in sustained malaria transmission. Furthermore, our analysis covers equilibrium points, stability assessments, bifurcation phenomena, and sensitivity analyses. These insights shed light on essential aspects of malaria control strategies, offering valuable guidance for effective intervention measures. |
| format | Article |
| id | doaj-art-0cb56f14e4614c5ea4dc4b9220b860cc |
| institution | Kabale University |
| issn | 2577-7408 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Computational and Mathematical Methods |
| spelling | doaj-art-0cb56f14e4614c5ea4dc4b9220b860cc2025-08-20T03:54:15ZengWileyComputational and Mathematical Methods2577-74082024-01-01202410.1155/2024/5589805A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of MalariaNantogmah Abdulai Sualey0Philip N. A. Akuka1Baba Seidu2Joshua Kiddy K. Asamoah3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThis study delves into the often-overlooked impact of immature mosquitoes on the dynamics of malaria transmission. By employing a mathematical model, we explore how these aquatic stages of the vector shape the spread of the disease. Our analytical findings are corroborated through numerical simulations conducted using the Runge–Kutta fourth-order method in MATLAB. Our research highlights a critical factor in malaria epidemiology: the basic reproduction number R0. We demonstrate that when R0 is below unity R0<1, the disease-free equilibrium exhibits local asymptotic stability. Conversely, when R0 surpasses unity R0>1, the disease-free equilibrium becomes unstable, potentially resulting in sustained malaria transmission. Furthermore, our analysis covers equilibrium points, stability assessments, bifurcation phenomena, and sensitivity analyses. These insights shed light on essential aspects of malaria control strategies, offering valuable guidance for effective intervention measures.http://dx.doi.org/10.1155/2024/5589805 |
| spellingShingle | Nantogmah Abdulai Sualey Philip N. A. Akuka Baba Seidu Joshua Kiddy K. Asamoah A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of Malaria Computational and Mathematical Methods |
| title | A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of Malaria |
| title_full | A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of Malaria |
| title_fullStr | A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of Malaria |
| title_full_unstemmed | A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of Malaria |
| title_short | A Mathematical Analysis of the Impact of Immature Mosquitoes on the Transmission Dynamics of Malaria |
| title_sort | mathematical analysis of the impact of immature mosquitoes on the transmission dynamics of malaria |
| url | http://dx.doi.org/10.1155/2024/5589805 |
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