Public health education, including mass and interpersonal communication, has been recognized as an effective control of infectious disease. Compared to the well-studied mass communication by dynamic modelling, not much mathematical study has been done on the effect of interpersonal communication. Here, we build a model, to study the overall impact of mass communication and interpersonal communication on disease spread and disease control during the transmission process. By analysing the dynamic behaviour of our model, we find two threshold parameters on which the disease persistence and extinction condition depend. We further prove that the endemic equilibrium, whenever existing, is locally asymptotically stable. Its global stability is also verified. And the impact of public health education on the behaviours of the model is considered by numerical simulation. Our study confirms the value of various education activities and shows that public health education may affect the epidemic threshold.

包括大众传播和人际传播在内的公共卫生教育已被认为是有效控制传染病的方法。与通过动态建模深入研究的大众传播相比，关于人际传播效果的数学研究还很少。在这里，我们建立一个模型，研究大众传播和人际传播对传播过程中疾病传播和疾病控制的总体影响。通过分析模型的动态行为，我们找到了疾病持久性和灭绝条件所依赖的两个阈值参数。我们进一步证明，地方均衡只要存在，就局部渐近稳定。其全局稳定性也得到了验证。并通过数值模拟考虑了公共卫生教育对模型行为的影响。我们的研究证实了各种教育活动的价值，并表明公共卫生教育可能会影响流行病阈值。