| 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 |
| Library |
Call Number |
Additional Info |
Location |
Last
Modified |
Checkout
Status |
| 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.) |
