Global asymptotic stability in a delay stage structured model for mosquito population suppression  

作　　者：HUANG Mu-gen YU Jian-she 

机构地区：[1]School of Statistics and Mathematics,Guangdong University of Finance and Economics,Guangzhou 510320,China [2]Guangzhou Center for Applied Mathematics,Guangzhou University,Guangzhou 510006,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2025年第1期122-136,共15页高校应用数学学报(英文版)(B辑)

基　　金：Supported by the National Natural Science Foundation of China(12226414,11471085,11631005,12171112)。

摘　　要：A promising avenue to control mosquito-borne diseases such as dengue,malaria,and Zika involves releasing male mosquitoes carrying the bacterium Wolbachia in wild areas to drive female sterility by a mechanism called cytoplasmic incompatibility(CI).In this work,we initiate a preliminary assessment of how the combined impact of dispersal,incomplete CI and mating competitiveness on mosquito population suppression by a delay differential equation model.Our theoretical analyses indicate that the immigration of eggs plays a significant role in the suppression dynamics.For the case without egg immigration,we identify a threshold dispersal rate v*of adult mosquitoes,threshold CI densityξ*,and threshold release ratio r*.A successful mosquito suppression would be established only when v<v*,ξ>ξ*,and r(t)≥r*uniformly.The immigration of eggs causes the threshold dynamics to be invalid,and warns an absolute failure of population suppression.The monotonicity of the adult steady-state in the dispersal rate and CI intensity indicates that choosing a suitable Wolbachia strain with strong CI intensity,or bringing down the dispersal rate of mosquitoes by blocking the suppression zones is a feasible strategy to obtain a better suppression level.

关 键 词：dengue fever WOLBACHIA cytoplasmic incompatibility population suppression delay differential equations 

分 类 号：O17[理学—数学]