标题： 具有异质网络上年龄结构的SIS模型的传播动力学 显示英文标题

标题： Transmission dynamics of an SIS model with age structure on heterogeneous networks

摘要： 感染年龄通常是流行病学动力学中的一个重要因素。 本文讨论了一种具有异质网络上感染年龄依赖性的SIS型疾病传播模型。 该模型允许传染率和恢复率随感染个体的年龄变化而变化。 我们研究了基本再生数的阈值性质，并给出了模型中无病平衡点和地方病平衡点的整体动态特性。 最后，进行了一些数值模拟来说明主要结果。 展示了网络结构与年龄依赖性因素对疾病动力学的综合影响。 显示英文摘要

摘要： Age at infection is often an important factor in epidemic dynamics. In this paper a disease transmission model of SIS type with age dependent infection on a heterogeneous network is discussed. The model allows the infectious rate and the recovery rate to vary and depend on the age of the infected individual at the time of infection. We address the threshold property of the basic reproduction number and present the global dynamical properties of the disease-free and endemic equilibria in the model. Finally, some numerical simulations are carried out to illustrate the main results. The combined effects of the network structure and the age dependent factor on the disease dynamics are displayed.