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Stability analysis of age-structured population equations by pseudospectral differencing methods

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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.

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Authors and Affiliations

  1. Dipartimento di Matematica e Informatica, Università degli Studi di Udine, via delle Scienze 208, 33100, Udine, Italy

    Dimitri Breda & Rossana Vermiglio

  2. Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, 38050, Povo (Trento), Italy

    Caterina Cusulin & Mimmo Iannelli

  3. Dipartimento di Scienze Matematiche, Università degli Studi di Trieste, via Valerio 12, 34127, Trieste, Italy

    Stefano Maset

Authors
  1. Dimitri Breda
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  2. Caterina Cusulin
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  3. Mimmo Iannelli
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  4. Stefano Maset
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  5. Rossana Vermiglio
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Corresponding author

Correspondence to Mimmo Iannelli.

Additional information

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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Breda, D., Cusulin, C., Iannelli, M. et al. Stability analysis of age-structured population equations by pseudospectral differencing methods. J. Math. Biol. 54, 701–720 (2007). https://doi.org/10.1007/s00285-006-0064-4

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  • DOI: https://doi.org/10.1007/s00285-006-0064-4

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