Mathematical Modeling and Cost-Effectiveness Analysis of an SeEeIeRe Typhoid Fever Model
The complications induced by typhoid fever in the host are a significant concern for public health, with most countries in Sub-Saharan Africa, Asia, and North America grappling with their worst typhoid cases and deaths owing to poor sanitation problems. We examined a nonlinear mathematical model for...
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| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2025-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/jom/1212057 |
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| author | Sacrifice Nana-Kyere Joshua Kiddy K. Asamoah Johnson De-Graft Ankamah Eric Okyere Baba Seidu Daniel Kwarteng Emmanuel Larbi Ayetey James Kwabena Odum |
| author_facet | Sacrifice Nana-Kyere Joshua Kiddy K. Asamoah Johnson De-Graft Ankamah Eric Okyere Baba Seidu Daniel Kwarteng Emmanuel Larbi Ayetey James Kwabena Odum |
| author_sort | Sacrifice Nana-Kyere |
| collection | DOAJ |
| description | The complications induced by typhoid fever in the host are a significant concern for public health, with most countries in Sub-Saharan Africa, Asia, and North America grappling with their worst typhoid cases and deaths owing to poor sanitation problems. We examined a nonlinear mathematical model for typhoid fever disease. This model explains how the disease spreads by testing its stability at both the typhoid-free and typhoid-present equilibriums. Thus, we used different mathematical tools to investigate the basic structure of the disease, such as Castillo–Chavez’s geometric method and the geometrical method of the Bendixson criterion for typhoid-present equilibrium’s global stability. To understand the influential parameters in the typhoid reproduction number R0, a local and global sensitivity analysis of the model is carried out. We further apply the optimal control theory to the model, examining the impact of time-dependent controls such as personal protection, vaccination, and treatment on disease dynamics. We provide the work’s simulated results as a framework for disease control. We then conducted a cost-effectiveness study to determine which of the listed strategies was the most cost-effective. |
| format | Article |
| id | doaj-art-8dbde799f7554ce0a6e728577ecacd8b |
| institution | DOAJ |
| issn | 2314-4785 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8dbde799f7554ce0a6e728577ecacd8b2025-08-20T03:09:11ZengWileyJournal of Mathematics2314-47852025-01-01202510.1155/jom/1212057Mathematical Modeling and Cost-Effectiveness Analysis of an SeEeIeRe Typhoid Fever ModelSacrifice Nana-Kyere0Joshua Kiddy K. Asamoah1Johnson De-Graft Ankamah2Eric Okyere3Baba Seidu4Daniel Kwarteng5Emmanuel Larbi Ayetey6James Kwabena Odum7Department of Mathematics and Information TechnologyDepartment of Mathematical SciencesDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of MathematicsDepartment of MathematicsMathematical Science DepartmentDepartment of Mathematics and ScienceThe complications induced by typhoid fever in the host are a significant concern for public health, with most countries in Sub-Saharan Africa, Asia, and North America grappling with their worst typhoid cases and deaths owing to poor sanitation problems. We examined a nonlinear mathematical model for typhoid fever disease. This model explains how the disease spreads by testing its stability at both the typhoid-free and typhoid-present equilibriums. Thus, we used different mathematical tools to investigate the basic structure of the disease, such as Castillo–Chavez’s geometric method and the geometrical method of the Bendixson criterion for typhoid-present equilibrium’s global stability. To understand the influential parameters in the typhoid reproduction number R0, a local and global sensitivity analysis of the model is carried out. We further apply the optimal control theory to the model, examining the impact of time-dependent controls such as personal protection, vaccination, and treatment on disease dynamics. We provide the work’s simulated results as a framework for disease control. We then conducted a cost-effectiveness study to determine which of the listed strategies was the most cost-effective.http://dx.doi.org/10.1155/jom/1212057 |
| spellingShingle | Sacrifice Nana-Kyere Joshua Kiddy K. Asamoah Johnson De-Graft Ankamah Eric Okyere Baba Seidu Daniel Kwarteng Emmanuel Larbi Ayetey James Kwabena Odum Mathematical Modeling and Cost-Effectiveness Analysis of an SeEeIeRe Typhoid Fever Model Journal of Mathematics |
| title | Mathematical Modeling and Cost-Effectiveness Analysis of an SeEeIeRe Typhoid Fever Model |
| title_full | Mathematical Modeling and Cost-Effectiveness Analysis of an SeEeIeRe Typhoid Fever Model |
| title_fullStr | Mathematical Modeling and Cost-Effectiveness Analysis of an SeEeIeRe Typhoid Fever Model |
| title_full_unstemmed | Mathematical Modeling and Cost-Effectiveness Analysis of an SeEeIeRe Typhoid Fever Model |
| title_short | Mathematical Modeling and Cost-Effectiveness Analysis of an SeEeIeRe Typhoid Fever Model |
| title_sort | mathematical modeling and cost effectiveness analysis of an seeeiere typhoid fever model |
| url | http://dx.doi.org/10.1155/jom/1212057 |
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