Asymptotic stability in a mosquito population suppression model with time delay  

作　　者：Yuanxian Hui Zhong Zhao Qiuying Li Liuyong Pang 

机构地区：[1]School of Mathematics and Statistics Huanghuai University,Zhumadian,Henan 463003,P.R.China

出　　处：《International Journal of Biomathematics》2023年第4期1-19,共19页生物数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (No.12171193);the Science and Technology Key Project of Henan Province of China (No.222102110028);the Key scientific research projects of colleges and universities in Henan Province of China (Nos.22B110006,22A110012 and 20B110008).

摘　　要：In this paper,a delayed mosquito population suppression model,where the number of sexually active sterile mosquitoes released is regarded as a given nonnegative function,and the birth process is density dependent by considering larvae progression and the intra-specific competition within the larvae,is developed and studied.A threshold value r^(*)for the releases of sterile mosquitoes is determined,and it is proved that the origin is globally asymptotically stable if the number of sterile mosquitoes released is above the threshold value r^(*).Besides,the case when the number of sterile mosquitoes released stays at a constant level r is also considered.In the special case,it is also proved that the origin is globally asymptotically stable if and only if r>r^(*)and that the model exhibits other complicated dynamics such as bi-stability and semi-stability when r≤r^(*).Numerical examples are also provided to illustrate our main theoretical results.

关 键 词：Global asymptotic stability delay differential equation mosquito population suppression sterile mosquitoes mosquito-borne diseases 

分 类 号：O17[理学—数学]