应用数学2025，Vol.38Issue(2)：574-583,10.
斑块环境下具有脉冲效应的SIQR传染病模型的动力学分析
Dynamical Analysis of the SIQR Epidemic Model with Impulse Effects in a Patchy Environment
摘要
Abstract
Patch effects and impulse control strategies have an important impact on the spread of infectious diseases,based on which a SIQR epidemic model with pulse vaccination and pulse abroad input in a patch environment is proposed.First,the boundedness of the solutions of the system and the uniqueness of the positive periodic solution when the disease disappears are proved.Second,using Floquet's theorem,the impulse comparison principle,the linearization method and the properties of the spectral theory of the basis solution matrix,the dynamical threshold R0 of the system is obtained.It is proved that the disease-free periodic solution of the system is globally asymptotically stable when R0＜1.Finally,it is shown that the system is uniformly persistent when R0＞1,using methods such as the Poincaré mapping,the properties of irreducible matrices and persistence theory.关键词
斑块环境/SIQR传染病模型/脉冲疫苗接种/脉冲境外输入/稳定性/持久性Key words
Patchy environment/SIQR epidemic model/Pulse vaccination/Pulse abroad input/Stability/Persistence分类
数学引用本文复制引用
张悦,杨志春..斑块环境下具有脉冲效应的SIQR传染病模型的动力学分析[J].应用数学,2025,38(2):574-583,10.基金项目
国家自然科学基金(11971081,10471061) （11971081,10471061）
重庆市教育委员会科学技术研究项目(KJZD-M202000502),重庆市教委雏鹰计划研究项目(CY220503),重庆市研究生科研创新项目(CYS23414) （KJZD-M202000502）
