title: The rate of convergence to early asymptotic behaviour in age-structured epidemic models.
abstract: Age structure is incorporated in many types of epidemic models. Often it is convenient to assume that such models converge to early asymptotic behaviour quickly, before the susceptible population has been appreciably depleted. We make use of dynamical systems theory to show that for some reasonable parameter values, this convergence can be slow. Such a possibility should therefore be considered when parametrising age-structured epidemic models.
authors: Warwick Mathematics Institute, University of Warwick, Gibbet Hill Road, Coventry, CV4 7AL, UK.
authors: Christopher A
authors: CA
authors: Rhodes
authors: Thomas
authors: T
authors: House
mesh_terms: D000293:Adolescent; D000328:Adult; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical