Abstract：Based on the potential influence of vaccination age and latency age as well as the effect of time delay on the transmission of the disease， a kind of age-structured vector-borne infectious disease model with time delay is constructed in this paper. Firstly， the exact expression of the basic reproduction number R0 is drived， and the existence of various steady states is systematically characterised with it. Further， a suitable Lyapunov function is constructed to analyze the stability of disease-free steady state. The disease-free steady state is globally asymptotically stable when R0〈1， while the endemic steady state exists and the disease is consistently persistent when R0〉1. Finally， numerical simulations are used to explain the main theoretical results.
刘慧慧,王雅萍,聂麟飞. 具有时滞和类年龄结构的媒介传染病模型研究[J]. 华中师范大学学报(自然科学版), 2025, 59(2): 169-178.
LIU Huihui,WANG Yaping,NIE Linfei. Study on a vector-borne epidemic model with time-delay and age structure. journal1, 2025, 59(2): 169-178.
2025, Vol. 59 
