非自治时滞蚊子种群模型的指数吸引性  

Exponential attraction of non-autonomous mosquito population model with time delay

作　　者：向钰薇 Xiang Yuwei(College of Mathematics and Statistics,Changsha University of Science and Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学数学与统计学院,湖南长沙410114

出　　处：《湖南文理学院学报（自然科学版）》2023年第2期15-19,共5页Journal of Hunan University of Arts and Science(Science and Technology)

基　　金：国家自然科学基金面上项目(11971076)。

摘　　要：利用微分不等式的技巧,通过构造适当的李亚普洛夫泛函,建立了一类非自治时滞蚊子种群模型解的吸引域,证明了解相互指数吸引的充分条件,获得了零解的指数吸引性,并利用计算机数值模拟验证了所得理论结果的正确性和有效性。By using the technique of differential inequality and constructing an appropriate Lyapunov functional,the attraction domain of a class of non-autonomous mosquito population model with time delay is established.The sufficient conditions of exponential attraction between solutions are proved,and the exponential attraction of zero solution is obtained.The correctness and validity of the theoretical results in this paper are verified by computer numerical simulation.

关 键 词：蚊子种群抑制模型 时滞微分方程 指数吸引性 

分 类 号：O175.13[理学—数学]