Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management
We formulate an infinite-time quadratic functional minimization problem of Aedes aegypti mosquito population. Three techniques of mosquito population management, chemical insecticide control, sterile insect technique control, and environmental carrying capacity reduction, are combined in order to ob...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2015-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/918194 |
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| _version_ | 1832552755987742720 |
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| author | Marat Rafikov Elvira Rafikova Hyun Mo Yang |
| author_facet | Marat Rafikov Elvira Rafikova Hyun Mo Yang |
| author_sort | Marat Rafikov |
| collection | DOAJ |
| description | We formulate an infinite-time quadratic functional minimization problem of Aedes aegypti mosquito population. Three techniques of mosquito population management, chemical insecticide control, sterile insect technique control, and environmental carrying capacity reduction, are combined in order to obtain the most sustainable strategy to reduce mosquito population and consequently dengue disease. The solution of the optimization control problem is based on the ideas of the Dynamic Programming and Lyapunov Stability using State-Dependent Riccati Equation (SDRE) control method. Different scenarios are analyzed combining three mentioned population management efforts in order to assess the most sustainable policy to reduce the mosquito population. |
| format | Article |
| id | doaj-art-17d4650bf3b04e0bbf5c83181016c7d3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-17d4650bf3b04e0bbf5c83181016c7d32025-02-03T05:57:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422015-01-01201510.1155/2015/918194918194Optimization of the Aedes aegypti Control Strategies for Integrated Vector ManagementMarat Rafikov0Elvira Rafikova1Hyun Mo Yang2UFABC, Centro de Engenharia, Modelagem e Ciências Sociais Aplicadas, 09210-580 Santo André, SP, BrazilUFABC, Centro de Engenharia, Modelagem e Ciências Sociais Aplicadas, 09210-580 Santo André, SP, BrazilUNICAMP, IMECC, Departamento de Matemática Aplicada, 13081-970 Campinas, SP, BrazilWe formulate an infinite-time quadratic functional minimization problem of Aedes aegypti mosquito population. Three techniques of mosquito population management, chemical insecticide control, sterile insect technique control, and environmental carrying capacity reduction, are combined in order to obtain the most sustainable strategy to reduce mosquito population and consequently dengue disease. The solution of the optimization control problem is based on the ideas of the Dynamic Programming and Lyapunov Stability using State-Dependent Riccati Equation (SDRE) control method. Different scenarios are analyzed combining three mentioned population management efforts in order to assess the most sustainable policy to reduce the mosquito population.http://dx.doi.org/10.1155/2015/918194 |
| spellingShingle | Marat Rafikov Elvira Rafikova Hyun Mo Yang Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management Journal of Applied Mathematics |
| title | Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management |
| title_full | Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management |
| title_fullStr | Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management |
| title_full_unstemmed | Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management |
| title_short | Optimization of the Aedes aegypti Control Strategies for Integrated Vector Management |
| title_sort | optimization of the aedes aegypti control strategies for integrated vector management |
| url | http://dx.doi.org/10.1155/2015/918194 |
| work_keys_str_mv | AT maratrafikov optimizationoftheaedesaegypticontrolstrategiesforintegratedvectormanagement AT elvirarafikova optimizationoftheaedesaegypticontrolstrategiesforintegratedvectormanagement AT hyunmoyang optimizationoftheaedesaegypticontrolstrategiesforintegratedvectormanagement |