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

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
Copyright notice	Copyright © 2007 Elsevier B.V. All rights reserved.
ISSN	0304-3800

Citation counts:	Cited 5 times in TR Web of Science Cited 5 times in Scopus Article \| Citations
Access Statistics:	84 Abstract Views - Detailed Statistics
Created:	Wed, 18 Feb 2009, 09:53:18 EST by Catalyst Administrator