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一类具有脉冲干预措施的COVID-19模型的稳定性分析

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

COVID-19(corona virus disease 2019)pulse intervention measuresbasic reproductive numberasymptotic stability

王来全、夏米西努尔·阿布都热合曼

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昌吉职业技术学院 基础教育分院,新疆 昌吉 831100

新疆大学 数学与模型科学学院,新疆 乌鲁木齐 830046

新型冠状病毒肺炎 脉冲干预措施 基本再生数 渐近稳定

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
年,卷(期):2025.39(1)