Threshold and stability results for an age-structured epidemic model.
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.
Inaba
H
H
Institute of Theoretical Biology, University of Leiden, The Netherlands.
D000367:Age Factors; D004196:Disease Outbreaks / Q000706:statistics & numerical data*; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical