Global stability for an SEI model of infectious disease with age structure and immigration of infecteds.
We study a model of disease transmission with continuous age-structure for latently infected individuals and for infectious individuals and with immigration of new individuals into the susceptible, latent and infectious classes. The model is very appropriate for tuberculosis. A Lyapunov functional is used to show that the unique endemic equilibrium is globally stable for all parameter values.
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada. email: ccmcc8@gmail.com.
C Connell
CC
McCluskey
D000367:Age Factors; D003141:Communicable Diseases / Q000453:epidemiology* / Q000635:transmission*; D004641:Emigration and Immigration; D014943:Global Health / Q000706:statistics & numerical data*; D006801:Humans; D008954:Models, Biological; D014376:Tuberculosis / Q000453:epidemiology