title: Small perturbations in nonlinear age-structured population equations.
abstract: A non-linear age-structured population dynamic model described by partial integro-differential equations is considered, where the non-linear term reflects the interaction among individuals. This non-linear model is interpreted as a perturbed linear 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 true solution as t-->infinity.
authors.affiliation: Institute for Control Sciences, Russian Academy of Sciences, Moscow.
authors.forename: E N
authors.initials: EN
authors.lastname: Boulanger
mesh_terms: D000375:Aging; D000818:Animals; D006801:Humans; D008433:Mathematics; D015233:Models, Statistical; D011157:Population Dynamics