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Math Biosci Eng. 2017 Aug 1;14(4):1019-1033. doi: 10.3934/mbe.2017053.

Global stability of infectious disease models with contact rate as a function of prevalence index.

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Maestria en Ciencias de la Salud, Escuela Superior de Medicina, Instituto Polit├ęcnico Nacional, Plan de San Luis y Diaz Miron s/n, Col. Casco de Santo Tomas, Del. Miguel Hidalgo, 11340, Ciudad de Mexico, Mexico. email:


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.

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