Maestria en Ciencias de la Salud, Escuela Superior de Medicina, Instituto Politécnico Nacional, Plan de San Luis y Diaz Miron s/n, Col. Casco de Santo Tomas, Del. Miguel Hidalgo, 11340, Ciudad de Mexico, Mexico. email:
Math Biosci Eng. 2017 Aug 1;14(4):1019-1033. doi: 10.3934/mbe.2017053.
In this paper, we consider a SEIR epidemiological model with information--related changes in contact patterns. One of the main features of the model is that it includes an information variable, a negative feedback on the behavior of susceptible subjects, and a function that describes the role played by the infectious size in the information dynamics. Here we focus in the case of delayed information. By using suitable assumptions, we analyze the global stability of the endemic equilibrium point and disease--free equilibrium point. Our approach is applicable to global stability of the endemic equilibrium of the previously defined SIR and SIS models with feedback on behavior of susceptible subjects.
在本文中，我们考虑了一个具有与信息相关的接触模式变化的 SEIR 传染病模型。该模型的主要特点之一是包含一个信息变量，这是对易感主体行为的负反馈，以及一个描述感染规模在信息动态中所起作用的函数。在这里，我们重点研究信息延迟的情况。通过使用合适的假设，我们分析了地方病平衡点和无病平衡点的全局稳定性。我们的方法适用于先前定义的具有易感主体行为反馈的 SIR 和 SIS 模型的地方病平衡点的全局稳定性。
