Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study
A mathematical model is formulated that captures the essential dynamics of waterborne disease transmission under the assumption of a homogeneously mixed population. The important mathematical features of the model are determined and analysed. The model is extended by introducing control intervention...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2018-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/2528513 |
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| _version_ | 1832550206942478336 |
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| author | Obiora Cornelius Collins Kevin Jan Duffy |
| author_facet | Obiora Cornelius Collins Kevin Jan Duffy |
| author_sort | Obiora Cornelius Collins |
| collection | DOAJ |
| description | A mathematical model is formulated that captures the essential dynamics of waterborne disease transmission under the assumption of a homogeneously mixed population. The important mathematical features of the model are determined and analysed. The model is extended by introducing control intervention strategies such as vaccination, treatment, and water purification. Mathematical analyses of the control model are used to determine the possible benefits of these control intervention strategies. Optimal control theory is utilized to determine how to reduce the spread of a disease with minimum cost. The model is validated using a cholera outbreak in Haiti. |
| format | Article |
| id | doaj-art-3d2bacba16cc4438ac2f8dbd91fd2e50 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-3d2bacba16cc4438ac2f8dbd91fd2e502025-02-03T06:07:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422018-01-01201810.1155/2018/25285132528513Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case StudyObiora Cornelius Collins0Kevin Jan Duffy1Institute of Systems Science, Durban University of Technology, Durban 4000, South AfricaInstitute of Systems Science, Durban University of Technology, Durban 4000, South AfricaA mathematical model is formulated that captures the essential dynamics of waterborne disease transmission under the assumption of a homogeneously mixed population. The important mathematical features of the model are determined and analysed. The model is extended by introducing control intervention strategies such as vaccination, treatment, and water purification. Mathematical analyses of the control model are used to determine the possible benefits of these control intervention strategies. Optimal control theory is utilized to determine how to reduce the spread of a disease with minimum cost. The model is validated using a cholera outbreak in Haiti.http://dx.doi.org/10.1155/2018/2528513 |
| spellingShingle | Obiora Cornelius Collins Kevin Jan Duffy Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study Journal of Applied Mathematics |
| title | Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study |
| title_full | Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study |
| title_fullStr | Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study |
| title_full_unstemmed | Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study |
| title_short | Analysis and Optimal Control Intervention Strategies of a Waterborne Disease Model: A Realistic Case Study |
| title_sort | analysis and optimal control intervention strategies of a waterborne disease model a realistic case study |
| url | http://dx.doi.org/10.1155/2018/2528513 |
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