Mathematical Biosciences and Engineering (May 2009)
Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
Abstract
A recent paper (Math. Biosci. and Eng. (2008) 5:389-402)presented an SEIR model using an infinite delay to account for varyinginfectivity. The analysis in that paper did not resolve the globaldynamics for R0 >1. Here, we show that the endemic equilibriumis globally stable for R0 >1. The proof uses a Lyapunovfunctional that includes an integral over all previous states.
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