Stability analysis of age-structured population equations by pseudospectral differencing methods |
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Authors: | Dimitri Breda Caterina Cusulin Mimmo Iannelli Stefano Maset Rossana Vermiglio |
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Institution: | (1) Dipartimento di Matematica e Informatica, Università degli Studi di Udine, via delle Scienze 208, 33100 Udine, Italy;(2) Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, 38050, Povo (Trento), Italy;(3) Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, via Valerio 12, 34127 Trieste, Italy |
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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.
The research of Mimmo Iannelli was supported in part within the FIRB project RBAU01K7M2 “Metodi dell’Analisi Matematica in
Biologia, Medicina e Ambiente”. |
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Keywords: | 92D25 65J10 65Q05 |
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