宿州学院学报2025，Vol.40Issue(6)：1-7,7.DOI:10.3969/j.issn.1673-2006.2025.06.001
具有饱和发生率的时滞传染病模型动力学分析
Dynamics Analysis of Delayed Epidemic Models with Saturated Incidence
摘要
Abstract
A type of delayed SEIR epidemic models with saturated incidence and infectious latent periods were stu-died.Firstly,the disease-free equilibrium point of the model was calculated,and the basic regeneration number of the model was defined using the second-generation regeneration matrix method.The existence and uniqueness of the endemic equilibrium point of the model were analyzed;secondly,sufficient conditions for the stability of the endemic equilibrium point of the model without time delay were obtained through the Routh Hurwitz criterion;then,by analy-zing the eigenvalues and combining bifurcation theory,the conditions for Hopf bifurcation of the model under the in-fluence of time delay were obtained,and the bifurcation threshold expression of the model was calculated.The re-search results indicate that the dynamic behavior of the model depends on the critical value of bifurcation.Finally,numerical simulation examples were provided to verify the correctness of the theory.关键词
传染病模型/Hopf分岔/时滞/平衡点/稳定性Key words
epidemic model/Hopf bifurcation/delay/equilibrium point/stability分类
数理科学引用本文复制引用
武俊兴,胡秀林..具有饱和发生率的时滞传染病模型动力学分析[J].宿州学院学报,2025,40(6):1-7,7.基金项目
安徽省高校自然科学重点项目(KJ2021A1000). （KJ2021A1000）
