Dynamical behavior of a mosquito population suppression model composed of two sub-models  

作　　者：Mingzhan Huang Xiaohuan Yu Shouzong Liu Xinyu Song 

机构地区：[1]College of Mathematics and Statistics Xinyang Normal University,Xinyang 464000,P.R.China [2]College of Mathematics and Statistics,Huanghuai University Zhumadian 463000,P.R.China

出　　处：《International Journal of Biomathematics》2023年第7期141-163,共23页生物数学学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China(12071407,11901502);Training plan for young backbone teachers in Henan Province(2019GGJS157);Program for Science&Technology Innovation Talents in Universities of Henan Province(21HASTIT026);Program for Innovative Research Team(in Science and Technology)in the University of Henan Province(21IRTSTHN014);Natural Science Foundation of Henan Province(222300420016).

摘　　要：In this paper,a new mosquito population suppression model with stage and sex structure is constructed,which is composed of two sub-models switching each other.Sterile mosquitoes are released with period T and remain sexually active for time T.For the case T<T,three thresholds T^(*),m^(*)and c^(*)are determined for the release period T and release amount c.According to the values of T and c in different ranges determined by these thresholds,we study the dynamical behavior of the system for different release strategies,mainly including the existence and stability of the mosquito-extinction equilibrium and positive periodic solutions.Finally,some numerical simulations are performed to illustrate our results.

关 键 词：Population suppression model periodic solution EXTINCTION stability 

分 类 号：O175[理学—数学]