山东理工大学学报(自然科学版)2025,Vol.39Issue(1) :46-51.

一类具有脉冲干预措施的COVID-19模型的稳定性分析

Stability analysis of a COVID-19 epidemic model with pulse intervention measures

王来全 夏米西努尔·阿布都热合曼
山东理工大学学报(自然科学版)2025,Vol.39Issue(1) :46-51.

一类具有脉冲干预措施的COVID-19模型的稳定性分析

Stability analysis of a COVID-19 epidemic model with pulse intervention measures

王来全 1夏米西努尔·阿布都热合曼2
扫码查看

作者信息

  • 1. 昌吉职业技术学院 基础教育分院,新疆 昌吉 831100
  • 2. 新疆大学 数学与模型科学学院,新疆 乌鲁木齐 830046
  • 折叠

摘要

建立了一类对易感人群实施脉冲干预措施的COVID-19 模型,得出了模型的基本再生数R0 和无病周期解.当R0<1 时,根据脉冲微分不等式和Lyapunov函数分析了无病周期解的全局稳定性,并数值模拟了这一结论.最后,探讨了脉冲预防策略在COVID-19 传染病预防中的效果.

Abstract

A class of COVID-19 models for the implementation of impulse interventions in susceptible populations was developed,and the basic regeneration number R0 and disease-free cycle solutions of the models were derived.The global stability of the disease-free periodic solution,when R0 is less than 1,is analyzed based on the pulse differential inequality and the Lyapunov function.Numerical simulations were given to present the effectiveness of the obtained results.Lastly,we analyzed the effect of pulse pre-vention strategy in the prevention of COVID-19 infectious disease.

关键词

新型冠状病毒肺炎/脉冲干预措施/基本再生数/渐近稳定

Key words

COVID-19(corona virus disease 2019)/pulse intervention measures/basic reproductive number/asymptotic stability

引用本文复制引用

出版年

2025
山东理工大学学报(自然科学版)
山东理工大学

山东理工大学学报(自然科学版)

影响因子:0.311
ISSN:1672-6197
段落导航相关论文