This paper is concerned with the asymptotic behaviour in a model for the growth of a spatially diffusing age-structured population. Starting from a renewal equation for the space-dependent birth rate by exploiting Laplace transforms it is possible to deduce that for large time the growth is governed by a (not necessarily simple) dominant eigenvalue.

Asymptotic behavior of the renewal equation arising in the Gurtin population model.

Marcati P
1982

Abstract

This paper is concerned with the asymptotic behaviour in a model for the growth of a spatially diffusing age-structured population. Starting from a renewal equation for the space-dependent birth rate by exploiting Laplace transforms it is possible to deduce that for large time the growth is governed by a (not necessarily simple) dominant eigenvalue.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12571/3225
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