An open-ended logistic-based growth function: Analytical solutions and the power-law logistic model

Thornley, J, Shepherd, J and Lenarcic, J 2007, 'An open-ended logistic-based growth function: Analytical solutions and the power-law logistic model', Ecological Modelling, vol. 204, pp. 531-534.


Document type: Journal Article
Collection: Journal Articles

Title An open-ended logistic-based growth function: Analytical solutions and the power-law logistic model
Author(s) Thornley, J
Shepherd, J
Lenarcic, J
Year 2007
Journal name Ecological Modelling
Volume number 204
Start page 531
End page 534
Total pages 3
Publisher Elsevier Science
Abstract An open-ended form of the logistic equation was recently proposed, using a model comprising two differential equations [Thornley, J.H.M., France, J., 2005. An open-ended logistic-based growth function. Ecol. Model. 184, 257-261]. The equations represent the two processes of growth and development, and are coupled. In this note, an analytical solution is developed for constant parameters. The solution can be expressed as a targetted single-differential-equation model, the theta-logistic or power-law logistic model, which is a well-known empirical growth equation in ecology and elsewhere. The analysis may facilitate mechanistic interpretation and application of the power-law logistic model as well as the original open two-differential-equation model.
Subject Biological Sciences not elsewhere classified
DOI - identifier 10.1016/j.ecolmodel.2006.12.026
Copyright notice Copyright © 2007 Elsevier B.V. All rights reserved.
ISSN 0304-3800
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