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An Asymptotic Analysis of the Delayed Logistic Equation when the Delay is Large
Authors:FOWLER  A C
Institution: Department of Mathematics, Massachusetts Institute of Technology Cambridge, MA 02139, U.S.A.
Abstract:We show how to construct an asymptotic solution to the delayedlogistic equation = {alpha}y(1–y1), corresponding to the asymptoticlimit {alpha}->{propto}. The results of the analysis are compared with a numericalcomputation, and found to be comparatively accurate for {alpha} >2. Since the approach adopted is novel, we comment on some featureswhich may be relevant in other problems.
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