Small Perturbations in Nonlinear Age-Structured Population Equations

Boulanger EN (1991). Small Perturbations in Nonlinear Age-Structured Population Equations. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-91-034

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Abstract

A nonlinear age-structured population dynamic model described by partial integro-differential equation is considered, where the nonlinear term reflects the interaction among individuals. This non-linear model is interpreted as a perturbed one. An approximation method based on the ideas of averaging, of a slow time transformation and a power series expansion is suggested. The asymptotic properties of the approximate solution are analyzed. It is shown that the approximate solution remains close to the explicit one as t approaches infinity.

Item Type: Monograph (IIASA Working Paper)
Research Programs: System and Decision Sciences - Core (SDS)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:01
Last Modified: 07 Nov 2016 09:21
URI: http://pure.iiasa.ac.at/3531

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