title: Stability analysis of age-structured population equations by pseudospectral differencing methods.
abstract: In this paper a numerical scheme to investigate the stability of linear models of age-structured population dynamics is studied. The method is based on the discretization of the infinitesimal generator associated to the semigroup of the solution operator by using pseudospectral differencing techniques, hence following the approach recently proposed in Breda et al. [SIAM J Sci Comput 27(2): 482-495, 2005] for delay differential equations. The method computes the rightmost characteristic roots and it is shown to converge with spectral accuracy behavior.
authors.affiliation: Dipartimento di Matematica e Informatica, Università degli Studi di Udine, via delle Scienze 208, 33100 Udine, Italy. dbreda@dimi.uniud.it
authors.forename: Dimitri
authors.initials: D
authors.lastname: Breda
authors.forename: Caterina
authors.initials: C
authors.lastname: Cusulin
authors.forename: Mimmo
authors.initials: M
authors.lastname: Iannelli
authors.forename: Stefano
authors.initials: S
authors.lastname: Maset
authors.forename: Rossana
authors.initials: R
authors.lastname: Vermiglio
mesh_terms: D000367:Age Factors; D006801:Humans; D016014:Linear Models; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D011157:Population Dynamics