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The Impact of Deviation from Michaelis-Menten Saturation on Mathematical Model Stability PropertiesBased on purely abstract ecological theory, it has been argued that a system composed of two or more consumers competing for the same resource cannot persist. By analysis on a Monod format mathematical model, Hubble and others demonstrated that this assertion is true for all but very special cases of such competing organisms which are determined by an index formed by a grouping of. the parameters which characterize the biological processes of the competing organisms. In the laboratory, using a bioreactor, Hansen and Hubble obtained confirmatory results for several cases of two competing species, and they characterized it as "qualitative confirmation" of the assertion. This result is amazing, since the analysis required the exact equality of the hey index, and it seems certain that no pair of organism species could have exactly equal values. It is quite plausible, however, that pairs of organism species could have approximately equal indices, and the question of how different they could be and still have coexistence of the two (or more) presents itself. In this paper, the pursuit of this question and a compatible resolution is presented.
Document ID
20020054232
Acquisition Source
Ames Research Center
Document Type
Conference Paper
Authors
Blackwell, Charles
(Lockheed Martin Engineering and Sciences Co. Moffett Field, CA United States)
Kliss, Mark
Date Acquired
August 20, 2013
Publication Date
January 1, 1998
Subject Category
Theoretical Mathematics
Meeting Information
Meeting: International Society for Ecological Modelling Conference
Location: Baltimore, MD
Country: United States
Start Date: August 2, 1998
End Date: August 6, 1998
Sponsors: International Society for Ecological Modelling
Funding Number(s)
PROJECT: RTOP 199-61-01
Distribution Limits
Public
Copyright
Other

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