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Boulanger, E.N. (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: | 27 Aug 2021 17:14 |
| URI: | https://pure.iiasa.ac.at/3531 |
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