具有时滞的非自治川崎病模型周期解的全局指数稳定性  

The stability of periodic solutions of a class of non-autonomous Kawasaki disease models with time delay

作　　者：晏丽芬 Yan Lifen(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20-25,共6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：利用李雅普诺夫泛函方法和微分不等式技巧研究了一类具有时滞的非自治川崎病模型解的正性、有界性以及持久性。借此提出保证系统周期解的全局指数稳定的充分性判据,推广了已有文献的相应结果,并结合数值模拟验证了理论结果的正确性和有效性。By using Lyapunov functional method and differential inequality technique,the positivity,boundedness and permanence of solutions for a class of non-autonomous Kawasaki disease model with time delay are studied.Based on this,a sufficient criterion to ensure the global exponential stability of the periodic solution of the system is proposed,which extends the corresponding results of the existing literature.The correctness and validity of the theoretical results are verified by numerical simulation.

关 键 词：川崎病模型 全局指数稳定 周期解 时滞 

分 类 号：O175.13[理学—数学]