Global stability for an SEIR epidemiological model with varying infectivity and infinite delay.
نویسنده
چکیده
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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Seir epidemiological model with varying infectivity and infinite delay.
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ورودعنوان ژورنال:
- Mathematical biosciences and engineering : MBE
دوره 6 3 شماره
صفحات -
تاریخ انتشار 2009