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PubMed · 17171510

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

Dimitri Breda·Caterina Cusulin·Mimmo Iannelli·Stefano Maset·Rossana Vermiglio
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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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Age FactorsHumansLinear ModelsModels, BiologicalNumerical Analysis, Computer-AssistedPopulation DynamicsJournal ArticleResearch Support, Non-U.S. Gov't

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Dimitri Breda, Caterina Cusulin, Mimmo Iannelli, Stefano Maset, Rossana Vermiglio. 2006-12-15. Stability analysis of age-structured population equations by pseudospectral differencing methods.. https://doi.org/10.1007/s00285-006-0064-4

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