Record Display for the EPA National Library Catalog

RECORD NUMBER: 29 OF 153

OLS Field Name OLS Field Data
Main Title Community Matrix in Three Species Community Models.
Author Clark, C. E. ; Hallam, T. G. ;
CORP Author Tennessee Univ., Knoxville. Dept. of Mathematics.;Environmental Research Lab., Athens, GA.
Year Published 1982
Report Number EPA-R-806726; EPA-600/J-82-423;
Stock Number PB84-172428
Additional Subjects Biomathematics ; Mathematical models ; Matrices(Mathematics) ; Stability ; Theorems ; Ecology ; Lotka-Volterra model ; Asymptotic stability ; Three dimensional
Holdings
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Status
NTIS  PB84-172428 Most EPA libraries have a fiche copy filed under the call number shown. Check with individual libraries about paper copy. NTIS 06/23/1988
Collation 10p
Abstract
The explicit function of the community matrix of a three dimensional Lotka-Volterra model is delineated by a set of necessary and sufficient conditions for a positive equilibrium to be asymptotically stable. In the special case that the community matrix is quasi weakly diagonally dominant, it is shown that a positive determinant for the community matrix is not only necessary but is also sufficient for stability. The results are specific to three dimensional models and do not extend to communities of dimension greater than three. (Copyright (c) Springer-Verlag 1982.)