Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes
The release of transgenic mosquitoes to interact with wild ones is a promising method for controlling malaria. How to effectively release transgenic mosquitoes to prevent malaria is always a concern for researchers. This paper investigates two methods of releasing transgenic mosquitoes and proposes...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/378968 |
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| _version_ | 1832566236703096832 |
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| author | Xiongwei Liu Junjun Xu Xiao Wang Lizhi Cheng |
| author_facet | Xiongwei Liu Junjun Xu Xiao Wang Lizhi Cheng |
| author_sort | Xiongwei Liu |
| collection | DOAJ |
| description | The release of transgenic mosquitoes to interact with wild ones is a promising method for controlling malaria. How to effectively release transgenic mosquitoes to prevent malaria is always a concern for researchers. This paper investigates two methods of releasing transgenic mosquitoes and proposes two epidemic models involving malaria patients, anopheles, wild mosquitoes, and transgenic mosquitoes based on system of continuous differential equations. A basic reproduction number R0
is defined for the models and it serves as a threshold parameter that predicts whether malaria will spread. By theoretical analysis of the dynamic behaviors of the models and numerical simulations, it is verified that malaria can be effectively controlled by the opportune release of transgenic mosquitoes; that is, when R0≤1, malaria will disappear; when R0>1, malaria will become an endemic disease in the target field. |
| format | Article |
| id | doaj-art-dc4e5cd947c644959e2e7123dd8a26b9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-dc4e5cd947c644959e2e7123dd8a26b92025-02-03T01:04:52ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/378968378968Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic MosquitoesXiongwei Liu0Junjun Xu1Xiao Wang2Lizhi Cheng3College of Science, National University of Defense Technology, Changsha, Hunan 410073, ChinaXichang Satellite Launch Center, Xichang, Sichuan 615000, ChinaCollege of Science, National University of Defense Technology, Changsha, Hunan 410073, ChinaCollege of Science, National University of Defense Technology, Changsha, Hunan 410073, ChinaThe release of transgenic mosquitoes to interact with wild ones is a promising method for controlling malaria. How to effectively release transgenic mosquitoes to prevent malaria is always a concern for researchers. This paper investigates two methods of releasing transgenic mosquitoes and proposes two epidemic models involving malaria patients, anopheles, wild mosquitoes, and transgenic mosquitoes based on system of continuous differential equations. A basic reproduction number R0 is defined for the models and it serves as a threshold parameter that predicts whether malaria will spread. By theoretical analysis of the dynamic behaviors of the models and numerical simulations, it is verified that malaria can be effectively controlled by the opportune release of transgenic mosquitoes; that is, when R0≤1, malaria will disappear; when R0>1, malaria will become an endemic disease in the target field.http://dx.doi.org/10.1155/2014/378968 |
| spellingShingle | Xiongwei Liu Junjun Xu Xiao Wang Lizhi Cheng Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes Abstract and Applied Analysis |
| title | Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes |
| title_full | Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes |
| title_fullStr | Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes |
| title_full_unstemmed | Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes |
| title_short | Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes |
| title_sort | behaviors and numerical simulations of malaria dynamic models with transgenic mosquitoes |
| url | http://dx.doi.org/10.1155/2014/378968 |
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