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

作　　者：王来全[1] 夏米西努尔·阿布都热合曼 WANG Laiquan;XAMXINUR·Abdurabman(Basic Education Branch,Changji Vocational and Technical College,Changji 831100,China;College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,China)

机构地区：[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

出　　处：《山东理工大学学报（自然科学版）》2025年第1期46-51,共6页Journal of Shandong University of Technology:Natural Science Edition

基　　金：新疆维吾尔自治区自然科学基金项目(2022D01A40)。

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R_(0)和无病周期解。当R_(0)<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。A class of COVID-19 models for the implementation of impulse interventions in susceptible populations was developed,and the basic regeneration number R_(0) and disease-free cycle solutions of the models were derived.The global stability of the disease-free periodic solution,when R_(0) 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 prevention 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 

分 类 号：O175.1[理学—数学]