一类具有信息干预的SIRZ模型的非连续治疗分析  

Discontinuous Treatment Analysis of a SIRZ Model with Information Intervention

作　　者：李迅 陶龙 LI Xun;TAO Long(Nanjing Vocational Health College,Jiangsu Union Technical Institute,Nanjing,Jiangsu 210038;College of Fundmental Course,Wannan Medical College,Wuhu,Anhui 241000)

机构地区：[1]江苏联合职业技术学院南京卫生分院,江苏南京210038 [2]皖南医学院公共基础学院,安徽芜湖241000

出　　处：《绍兴文理学院学报》2024年第2期88-98,共11页Journal of Shaoxing University

基　　金：皖南医学院科学研究项目“人工智能在医学影像辅助诊断上的研究”(WK202117)。

摘　　要：针对疾病传播时信息干预的影响因素,建立了一类右端函数不连续且具有信息干预的动力系统.计算获得了该模型的基本再生数R0,利用非连续微分方程解的性质及Lyapunov-LaSalle不变集原理,证明平衡点在有限时间内全局稳定.最后,借助Matlab数值仿真验证了结论的正确性.A dynamic system with discontinuous right end function and information intervention is set up with the intention of addressing the elements that influence information intervention during disease transmission.The fundamental regeneration number R 0 of the model is calculated.The finite-time global stability of each equilibrium point is demonstrated based on the characteristics of the solutions to discontinuous differential equations as well as the Lyapunov-LaSalle invariant set concept.Finally,the conclusion is confirmed by a Matlab numerical simulation.

关 键 词：信息干预 微分包含 LYAPUNOV函数 有限时间稳定 

分 类 号：O193[理学—数学]