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Analysis of linear compartment models for ecosystems

✍ Scribed by Robert J. Mulholland; Marvin S. Keener

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
669 KB
Volume
44
Category
Article
ISSN
0022-5193

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✦ Synopsis

This paper discusses the mathematical validity of the class of linear periodically time varying compartment models which are commonly employed for the analysis of ecosystems. Valid mathematical models for such systems must have unique stable periodic solutions to which all other solutions converge. In addition, solutions of such ecosystem models which are initially positive must remain positive. The results presented in this paper provide a mathematical verification for the application of linear donor controlled compartment models to ecosystem analysis.

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