山东理工大学学报（自然科学版）2026，Vol.40Issue(2)：60-66,7.
具有环境传播的SIS年龄结构模型稳定性分析
Stability analysis of SIS age-structured model with environmental transmission
摘要
Abstract
An age-structured SIS(Susceptible Infectious Susceptible)disease model with environmental transmission is constructed.The basic reproduction number of the model is defined,and the local and global asymptotic stability of disease-free steady state are obtained.The existence,uniqueness and local asymptotic stability of the endemic steady state are also analyzed.The results show that environmental transmission significantly influences the dynamic stability of the age-structured SIS model.The numerical simulation results largely agree with the theoretical findings.These conclusions are important for under-standing and predicting the spread of disease in populations.关键词
SIS传染病模型/年龄结构模型/环境传播/基本再生数/渐近稳定Key words
SIS infectious disease model/age-structured model/environmental transmission/basic re-production number/asymptotic stability分类
数理科学引用本文复制引用
BI Xinyu,ZHANG Shichao,XIANG Hua,ZHANG Fan,WANG Chaoqun,AZIMAQIN Nurbek..具有环境传播的SIS年龄结构模型稳定性分析[J].山东理工大学学报（自然科学版）,2026,40(2):60-66,7.基金项目
新疆维吾尔自治区自然科学基金项目(2022D01A198) （2022D01A198）
新疆农业大学大学生创新项目(dxscx2024602) （dxscx2024602）
