华中师范大学学报（自然科学版）2023，Vol.57Issue(6)：799-806,8.DOI:10.19603/j.cnki.1000-1190.2023.06.005
具有无症状感染者和时滞的媒介传染病模型的分析
Analysis of host-vector epidemic model with asymptomatic infectors and delay
摘要
Abstract
To study the effect of asymptomatic infectors and delay on host-vector epidemic model,a host-vector epidemic model with asymptomatic infectors and delay is discussed.The expression of basic reproduction number is obtained by using the second generation of generator matrix method,the existence and stability of equilibrum points is proved and bifurcation analysis to the model is performed,the delay τ is used as the bifurcation parameter,when the delay τ passes through critical value,the stability of endemic equilibrium is changed,the equilibrum point will exist Hopf bifurcation and some derive formulas about the bifurcation direction and the stability of the bifurcated periodic solution are obtained.关键词
媒介传染病模型/无症状感染者/时滞/稳定性/Hopf分支Key words
host-vector epidemic model/asymptomatic infectors/delay/stability/Hopf bifurcation分类
数学引用本文复制引用
闫娟娟,雒志学,高文哲..具有无症状感染者和时滞的媒介传染病模型的分析[J].华中师范大学学报（自然科学版）,2023,57(6):799-806,8.基金项目
国家自然科学基金项目(11561041). （11561041）
