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 ...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 intensityξand mating competitivenessθof infected males on the suppression efficiency.Our analysis identifies a CI intensity thresholdξ*below which a successful suppression is impossible.Whenξ≥ξ*,the wild population will be eliminated ultimately if the releasing level exceeds the release amount threshold R*uniformly.The dependence of R*onξandθ,and the impact of temperature on suppression are further exhibited through numerical examples.Our analyses indicate that a slight reduction ofξis more devastating than significantly decrease ofθin 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 toξbut almost independent ofθ.One percent reduction ofξfrom 1 requires at least one week earlier in the optimal releasing starting date from 7 weeks ahead of the peak season of dengue.展开更多
How to prevent and control the outbreak of mosquito-borne diseases,such as malaria,dengue fever and Zika,is an urgent worldwide public health problem.The most conventional method for the control of these diseases is t...How to prevent and control the outbreak of mosquito-borne diseases,such as malaria,dengue fever and Zika,is an urgent worldwide public health problem.The most conventional method for the control of these diseases is to directly kill mosquitoes by spraying insecticides or removing their breeding sites.However,the traditional method is not effective enough to keep the mosquito density below the epidemic risk threshold.With promising results international,the World Mosquito Program’s Wolbachia method is helping to reduce the occurrence of diseases transmitted by mosquitoes.In this paper,we introduce a generalized discrete model to study the dynamics of the Wolbachia infection frequency in mosquito populations where infected mosquitoes are impulsively released.This generalized model covers all the relevant existing models since 1959 as some special cases.After summarizing known results of discrete models deduced from the generalized one,we put forward some interesting open questions to be further investigated for the periodic impulsive releases.展开更多
基金supported by the National Natural Science Foundation of China(Nos.12026222,12071095)Program for Changjiang Scholars and Innovative Research Team in University(No.IRT 16R16)by the Natural Science Foundation of Guangdong Province(No.2017A030310597)。
文摘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 intensityξand mating competitivenessθof infected males on the suppression efficiency.Our analysis identifies a CI intensity thresholdξ*below which a successful suppression is impossible.Whenξ≥ξ*,the wild population will be eliminated ultimately if the releasing level exceeds the release amount threshold R*uniformly.The dependence of R*onξandθ,and the impact of temperature on suppression are further exhibited through numerical examples.Our analyses indicate that a slight reduction ofξis more devastating than significantly decrease ofθin 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 toξbut almost independent ofθ.One percent reduction ofξfrom 1 requires at least one week earlier in the optimal releasing starting date from 7 weeks ahead of the peak season of dengue.
基金supported by National Natural Science Foundation of China(Grant Nos.11971127,12071095 and 11631005)the Changjiang Scholars Program and Program for Innovative Research Team in University(Grant No.IRT 16R16)。
文摘How to prevent and control the outbreak of mosquito-borne diseases,such as malaria,dengue fever and Zika,is an urgent worldwide public health problem.The most conventional method for the control of these diseases is to directly kill mosquitoes by spraying insecticides or removing their breeding sites.However,the traditional method is not effective enough to keep the mosquito density below the epidemic risk threshold.With promising results international,the World Mosquito Program’s Wolbachia method is helping to reduce the occurrence of diseases transmitted by mosquitoes.In this paper,we introduce a generalized discrete model to study the dynamics of the Wolbachia infection frequency in mosquito populations where infected mosquitoes are impulsively released.This generalized model covers all the relevant existing models since 1959 as some special cases.After summarizing known results of discrete models deduced from the generalized one,we put forward some interesting open questions to be further investigated for the periodic impulsive releases.
