Small Perturbations in Nonlinear Age-Structured Population Equations

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/3552 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/3552 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/3552 archive 351 disk0/00/00/35/31 2016-01-15 02:01:11 2021-08-27 17:14:01 2016-01-15 02:01:11 monograph show 3 Boulanger E.N. AL0511 Small Perturbations in Nonlinear Age-Structured Population Equations pub iis_pop iis_mod prog_sds 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. 1991-09 published WP-91-034 WP-91-034 10 1751 public working_paper IIASA, Laxenburg, Austria 30 FALSE info:eu-repo/semantics/book