The dynamics of delayed models for interactive wild and sterile mosquito populations
作者机构：College of Mathematics and Statistics Xinyang Normal UniversityXinyang 464000P.R.China
出 版 物：《生物数学学报:英文版》 (International Journal of Biomathematics)
年 卷 期：2023年第16卷第5期
页 面：137-164页
核心收录：
学科分类：0710[理学-生物学] 07[理学] 0701[理学-数学]
基 金：supported partially by National Natural Science Foundation of China (11871415) Foundation of Henan Educational Committee under Contract (22B110013) the Henan Province Distinguished Professor Program (LC).
主 题：Sterile mosquito release control strategy time-delay stability Hopf bifurcation
摘 要：The sterile insect technique(SIT)has been applied as an alternative method to reduce or eradicate mosquito-borne diseases.To explore the impact of the sterile mosquitoes on controlling the wild mosquito populations,in this paper,we further extend the work in[J.Li,New revised simple models for interactive wild and sterile mosquito populations and their dynamics,J.Biol.Dyn.11(S2)(2017)316-333]and formulate delayed models for interactive wild and sterile mosquitoes,which can depict wild mosquito population undergoing distinct stages of development during a lifetime.By performing mathematical analysis,the threshold dynamics of the proposed models are explored,respectively.In particular,Hopf bifurcation phenomena are observed as the delay T is varying.Numerical examples illustrateourfindings.
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