Open Access
2014 Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes
Xiongwei Liu, Junjun Xu, Xiao Wang, Lizhi Cheng
Abstr. Appl. Anal. 2014(SI54): 1-8 (2014). DOI: 10.1155/2014/378968


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 R01, malaria will disappear; when R0>1, malaria will become an endemic disease in the target field.


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Xiongwei Liu. Junjun Xu. Xiao Wang. Lizhi Cheng. "Behaviors and Numerical Simulations of Malaria Dynamic Models with Transgenic Mosquitoes." Abstr. Appl. Anal. 2014 (SI54) 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022261
MathSciNet: MR3173275
Digital Object Identifier: 10.1155/2014/378968

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI54 • 2014
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