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
1982-01-01
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.File in questo prodotto:
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