Global stability for the SEIR model in epidemiology.
نویسندگان
چکیده
The SEIR model with nonlinear incidence rates in epidemiology is studied. Global stability of the endemic equilibrium is proved using a general criterion for the orbital stability of periodic orbits associated with higher-dimensional nonlinear autonomous systems as well as the theory of competitive systems of differential equations.
منابع مشابه
Global stability for an SEIR epidemiological model with varying infectivity and infinite delay.
A recent paper (Math. Biosci. and Eng. (2008) 5:389-402) presented an SEIR model using an infinite delay to account for varying infectivity. The analysis in that paper did not resolve the global dynamics for R0 >1. Here, we show that the endemic equilibrium is globally stable for R0 >1. The proof uses a Lyapunov functional that includes an integral over all previous states.
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ورودعنوان ژورنال:
- Mathematical biosciences
دوره 125 2 شماره
صفحات -
تاریخ انتشار 1995