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