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Making ecosystem models viable.

Authors
Type
Published Article
Journal
Bulletin of mathematical biology
Publication Date
Volume
65
Issue
6
Pages
1081–1094
Identifiers
PMID: 14607289
Source
Medline
License
Unknown

Abstract

Viability conditions permit to characterize all processes compatible with given constraints, notably of available food, so that there exists at least one possibility for the system to perpetuate itself forever. The concept of contingent cone to a set of constraints permits to identify two classes of corrections to apply to equations of natural growth. Usual basic models convey those corrections only in certain regions of the parameter space. A general model-building stemming from the constraints is presented. Experimental populations from historical case studies highlight the mathematical concept of viability corrections.

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