Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes
Joint Authors
Liu, Xiongwei
Xu, Junjun
Wang, Xiao
Cheng, Li-Zhi
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-15
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Xiongwei& Xu, Junjun& Wang, Xiao& Cheng, Li-Zhi. 2014. Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013801
Modern Language Association (MLA)
Liu, Xiongwei…[et al.]. Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1013801
American Medical Association (AMA)
Liu, Xiongwei& Xu, Junjun& Wang, Xiao& Cheng, Li-Zhi. Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1013801
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1013801