Abstract:
:A variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. Most predictive models are shown to be based on variations of the classical Verhulst logistic growth equation. We review and compare several such models and analyse properties of interest for these. We also identify and detail several associated limitations and restrictions.A generalized form of the logistic growth curve is introduced which incorporates these models as special cases. Several properties of the generalized growth are also presented. We furthermore prove that the new growth form incorporates additional growth models which are markedly different from the logistic growth and its variants, at least in their mathematical representation. Finally, we give a brief outline of how the new curve could be used for curve-fitting.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Tsoularis A,Wallace Jdoi
10.1016/s0025-5564(02)00096-2subject
Has Abstractpub_date
2002-07-01 00:00:00pages
21-55issue
1eissn
0025-5564issn
1879-3134pii
S0025556402000962journal_volume
179pub_type
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