首页|一类具有信息干预的SIRZ模型的非连续治疗分析

一类具有信息干预的SIRZ模型的非连续治疗分析

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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.
Discontinuous Treatment Analysis of a SIRZ Model with Information Intervention
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 trans-mission.The fundamental regeneration number R0 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 dif-ferential equations as well as the Lyapunov-LaSalle invariant set concept.Finally,the conclusion is con-firmed by a Matlab numerical simulation.

information interventiondifferential inclusionLyapunov functionlimited time stability

李迅、陶龙

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江苏联合职业技术学院 南京卫生分院,江苏 南京 210038

皖南医学院 公共基础学院,安徽 芜湖 241000

信息干预 微分包含 Lyapunov函数 有限时间稳定

皖南医学院科学研究项目

WK202117

2024

绍兴文理学院学报
绍兴文理学院

绍兴文理学院学报

CHSSCD
影响因子:0.267
ISSN:1008-293X
年,卷(期):2024.44(2)
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