Global asymptotic behavior in single-species discrete diffusion systems (Q1314241)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Global asymptotic behavior in single-species discrete diffusion systems |
scientific article; zbMATH DE number 501051
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global asymptotic behavior in single-species discrete diffusion systems |
scientific article; zbMATH DE number 501051 |
Statements
Global asymptotic behavior in single-species discrete diffusion systems (English)
0 references
30 October 1994
0 references
A single-species dynamical system is considered which is composed of several patches connected by discrete diffusion. Based on cooperative system theory and the property of a cooperative matrix, sufficient and necessary conditions are obtained for the system with linear diffusion to become extinct and for one with nonlinear diffusion to be globally stable. The authors obtain a critical patch number in the system with linear diffusion for the species to become extinct.
0 references
global stability
0 references
single-species dynamical system
0 references
discrete diffusion
0 references
cooperative system
0 references
cooperative matrix
0 references
sufficient and necessary conditions
0 references
linear diffusion
0 references
critical patch number
0 references
0 references
0.91489506
0 references
0.91415614
0 references
0.91135144
0 references
0.90865433
0 references
0.90478456
0 references
0.90242225
0 references
0.9016259
0 references
