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, PIERANGELO
1982-01-01

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.
1982
0-12-434170-5
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/40720
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