Document Type

Article

Publication Date

7-2009

Department

Mathematics

Abstract

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.

Comments

This article was originally published in Mathematical Biosciences and Engineering, 6(3): 603-610. (c) 2009 American Institute of Mathematical Sciences

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