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.
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.
YAN Juanjuan,LUO Zhixue,GAO Wenzhe. Analysis of host-vector epidemic model with asymptomatic infectors and delay. journal1, 2023, 57(6): 799-806.