Culling structured hosts to eradicate vector-borne diseases
A compartmental model is developed, in the form of a nonautonomoussystem of delay differential equations subject to impulses atspecific times, for mosquito-born disease control involvinglarvicides and insecticide sprays. Sufficient conditions in terms ofthe frequencies and rates of larvicides and in...
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| Format: | Article |
| Language: | English |
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AIMS Press
2009-02-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.301 |
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| _version_ | 1832590184466612224 |
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| author | Xinli Hu Yansheng Liu Jianhong Wu |
| author_facet | Xinli Hu Yansheng Liu Jianhong Wu |
| author_sort | Xinli Hu |
| collection | DOAJ |
| description | A compartmental model is developed, in the form of a nonautonomoussystem of delay differential equations subject to impulses atspecific times, for mosquito-born disease control involvinglarvicides and insecticide sprays. Sufficient conditions in terms ofthe frequencies and rates of larvicides and insecticide sprays arederived, and numerical simulations are provided to illustrate thesharpness of these disease eradication conditions. |
| format | Article |
| id | doaj-art-5813665bf1dd4f22aa83e6197dafa2f9 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-5813665bf1dd4f22aa83e6197dafa2f92025-01-24T01:59:06ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-02-016230131910.3934/mbe.2009.6.301Culling structured hosts to eradicate vector-borne diseasesXinli Hu0Yansheng Liu1Jianhong Wu2Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049Department of Applied Mathematics, Xi’an Jiaotong University, Xi’an, 710049A compartmental model is developed, in the form of a nonautonomoussystem of delay differential equations subject to impulses atspecific times, for mosquito-born disease control involvinglarvicides and insecticide sprays. Sufficient conditions in terms ofthe frequencies and rates of larvicides and insecticide sprays arederived, and numerical simulations are provided to illustrate thesharpness of these disease eradication conditions.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.301delay.cullingwest nile virusstructured populationdiseaseeradication |
| spellingShingle | Xinli Hu Yansheng Liu Jianhong Wu Culling structured hosts to eradicate vector-borne diseases Mathematical Biosciences and Engineering delay. culling west nile virus structured population diseaseeradication |
| title | Culling structured hosts to eradicate vector-borne diseases |
| title_full | Culling structured hosts to eradicate vector-borne diseases |
| title_fullStr | Culling structured hosts to eradicate vector-borne diseases |
| title_full_unstemmed | Culling structured hosts to eradicate vector-borne diseases |
| title_short | Culling structured hosts to eradicate vector-borne diseases |
| title_sort | culling structured hosts to eradicate vector borne diseases |
| topic | delay. culling west nile virus structured population diseaseeradication |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.301 |
| work_keys_str_mv | AT xinlihu cullingstructuredhoststoeradicatevectorbornediseases AT yanshengliu cullingstructuredhoststoeradicatevectorbornediseases AT jianhongwu cullingstructuredhoststoeradicatevectorbornediseases |