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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
Library Call Number Additional Info Location Last
NTIS  PB84-172428 Some EPA libraries have a fiche copy filed under the call number shown. 07/26/2022
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.)
Availability Notes Pub. in Jnl. of Mathematical Biology, 16 n1 p25-31, 1982.
NTIS Title Notes Journal article.
PUB Date Free Form c1982
Category Codes 6C; 6F; 57H
NTIS Prices Not available NTIS
Primary Description 600/01
Document Type NT
Cataloging Source NTIS/MT
Control Number 417425012
Origin NTIS
Type CAT