An asymptotic analysis of the delayed logistic equation when the delay is large

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Abstract

We show how to construct an asymptotic solution to the delayed logistic equation = αy(1-y1), corresponding to the asymptotic limit α→∝. The results of the analysis are compared with a numerical computation, and found to be comparatively accurate for α > 2. Since the approach adopted is novel, we comment on some features which may be relevant in other problems.

Original languageEnglish
Pages (from-to)41-49
Number of pages9
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume28
Issue number1
DOIs
Publication statusPublished - Jan 1982
Externally publishedYes

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