title: Threshold and stability results for an age-structured epidemic model.
abstract: We study a mathematical model for an epidemic spreading in an age-structured population with age-dependent transmission coefficient. We formulate the model as an abstract Cauchy problem on a Banach space and show the existence and uniqueness of solutions. Next we derive some conditions which guarantee the existence and uniqueness for non-trivial steady states of the model. Finally the local and global stability for the steady states are examined.
authors.affiliation: Institute of Theoretical Biology, University of Leiden, The Netherlands.
authors.forename: H
authors.initials: H
authors.lastname: Inaba
mesh_terms: D000367:Age Factors; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical