Stabilization in a Nonlinear Agedependent Population Model

M. R. Langlais
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M. R. Langlais: Université de Bordeaux I, U.E.R. de Mathématiques et Informatique

A chapter in Biomathematics and Related Computational Problems, 1988, pp 337-344 from Springer

Abstract: Abstract We analyze the stabilization of the solution of an agedependent population model with spatial diffusion. We assume that both the birth process and the death process are run by nonlinear mechanisms. Under suitable assumptions we show that as time gets large the solution of this problem either goes to zero or goes to a non trivial equilibrium; further the trivial equilibrium is unstable as soon as a non trivial one exists.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2975-3_30

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DOI: 10.1007/978-94-009-2975-3_30

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