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.
McCluskey
C Connell
CC
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada. ccmcc8@gmail.com
D050936:Basic Reproduction Number; D003141:Communicable Diseases / Q000453:epidemiology / Q000276:immunology*; D015994:Incidence; D018448:Models, Immunological