Small perturbations in nonlinear age-structured population equations.

E N Boulanger

doi:10.1007/bf00573458

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Small perturbations in nonlinear age-structured population equations.

E N Boulanger

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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.

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Aging Animals Humans Mathematics Models, Statistical Population Dynamics Journal Article

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E N Boulanger. 1994. Small perturbations in nonlinear age-structured population equations.. https://doi.org/10.1007/bf00573458

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