北华大学学报（自然科学版）2025，Vol.26Issue(1)：10-16,7.DOI:10.11713/j.issn.1009-4822.2025.01.002
一类具有疫苗接种和垂直传播的SEIV传染病模型的动力学分析
Dynamic Analysis of a Class of SEIV Infectious Disease Models with Vaccination and Vertical Transmission
摘要
Abstract
A SEIV infectious disease model with both vaccination and vertical transmission is established by using the dynamic method.The threshold R0 is given by the next generation matrix method to determine the prevalence of the disease.When R0<1,the model has a unique disease-free equilibrium,and it is proved that the disease-free equilibrium is globally asymptotically stable by establishing a suitable Lyapunov function.When R0>1,the model has a unique endemic equilibrium and is consistently persistent.The above conclusions were verified by numerical simulation.In addition,in order to better control and prevent the disease,the effect of several key parameters on the disease transmission is simulated.关键词
疫苗接种/垂直传播/基本再生数/平衡点/稳定性Key words
vaccination/vertical transmission/basic reproduction number/equilibrium/stability分类
数学引用本文复制引用
王春霞,王晓东,热木孜亚·热布哈提,王凯..一类具有疫苗接种和垂直传播的SEIV传染病模型的动力学分析[J].北华大学学报（自然科学版）,2025,26(1):10-16,7.基金项目
新疆维吾尔自治区自然科学基金项目(2022D01C700) （2022D01C700）
国家自然科学基金项目(12101529,11961071). （12101529,11961071）
