绍兴文理学院学报2024,Vol.44Issue(2) :88-98.DOI:10.16169/j.issn.1008-293x.2024.02.009

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

李迅 陶龙
绍兴文理学院学报2024,Vol.44Issue(2) :88-98.DOI:10.16169/j.issn.1008-293x.2024.02.009

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

李迅 1陶龙2
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作者信息

  • 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
  • 折叠

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.

Abstract

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.

关键词

信息干预/微分包含/Lyapunov函数/有限时间稳定

Key words

information intervention/differential inclusion/Lyapunov function/limited time stability

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基金项目

皖南医学院科学研究项目(WK202117)

出版年

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
参考文献量12
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