典型文献
Global Asymptotic Stability in a Delay Differential Equation Model for Mosquito Population Suppression
文献摘要：
A bio-safe dengue control strategy is to use Wolbachia,which can induce incomplete cytoplasmic incompatibility(CI)and reduce the mating competitiveness of infected males.In this work,we formulate a delay differential equation model,including both the larval and adult stages of wild mosquitoes,to assess the impacts of CI intensity ξ and mating competitiveness θ of infected males on the suppression efficiency.Our analysis identifies a CI intensity threshold ξ*below which a successful suppression is impossible.When ξ≥ξ*,the wild population will be eliminated ultimately if the releasing level exceeds the release amount threshold R*uniformly.The dependence of R*on ξ and θ,and the impact of temperature on suppression are further exhibited through numerical examples.Our analyses indicate that a slight reduction of ξ is more devastating than significantly decrease of θ in the suppression efficiency.To suppress more than 95％wild mosquitoes during the peak season of dengue in Guangzhou,the optimal starting date for releasing is sensitive to ξ but almost independent of θ.One percent reduction of ξ from 1 requires at least one week earlier in the optimal releasing starting date from 7 weeks ahead of the peak season of dengue.
文献关键词：
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作者姓名：
Mu-gen HUANG;Jian-she YU
作者机构：
School of Statistics and Mathematics,Guangdong University of Finance and Economics,Guangzhou 510320,China;Guangzhou Center for Applied Mathematics,Guangzhou University,Guangzhou 510006,China
文献出处：
引用格式：
[1]Mu-gen HUANG;Jian-she YU-.Global Asymptotic Stability in a Delay Differential Equation Model for Mosquito Population Suppression)[J].应用数学学报（英文版）,2022(04):882-901
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0.639726
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