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《Journal of Southwest University(Natural Science Edition)》 2019-01
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A Model for the Interactive Dynamics of Sterile and Wild Mosquitoes with Strong Allee Effects

LUO Yu-dong;ZHANG Guo-hong;School of Mathematics and Statistics,Southwest University;  
The sterile insect technique is one of the effective ways to prevent and control mosquito-borne diseases such as malaria and dengue fever.This article assumes that wild mosquitoes have a strong Allee effect and formulates a continuous-time mathematical model for the interactive dynamics of the wild and the sterile mosquitoes.By studying the dynamic state of the system,including analyzing the existence and stability of the equilibria,we find that under certain conditions the system has bi-stability and the threshold conditions for controlling and eliminating wild mosquito populations under different strategies of wild mosquito release are obtained.At the same time,the relevant theoretical results are verified by numerical simulation.
【Fund】: 国家自然科学基金项目(11701472)
【CateGory Index】: O175
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