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

A. C. Fowler

doi:10.1093/imamat/28.1.41

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

A. C. Fowler

Massachusetts Institute of Technology

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	41-49
Number of pages	9
Journal	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume	28
Issue number	1
DOIs	https://doi.org/10.1093/imamat/28.1.41
Publication status	Published - Jan 1982
Externally published	Yes

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10.1093/imamat/28.1.41

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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.",

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

Abstract

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