Time-averaging and permanence in nonautonomous competitive systems of PDEs via Vance-Coddington estimates (Q432573)
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: Time-averaging and permanence in nonautonomous competitive systems of PDEs via Vance-Coddington estimates |
scientific article; zbMATH DE number 6052989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Time-averaging and permanence in nonautonomous competitive systems of PDEs via Vance-Coddington estimates |
scientific article; zbMATH DE number 6052989 |
Statements
Time-averaging and permanence in nonautonomous competitive systems of PDEs via Vance-Coddington estimates (English)
0 references
4 July 2012
0 references
non-autonomous reaction-diffusion system of Kolmogorov type
0 references
competitive model
0 references
time-averaging
0 references
permanence
0 references
0 references
0.8725325
0 references
0.8703997
0 references
0.86480546
0 references
0.8640137
0 references
0.8636819
0 references
0.8616395
0 references
0.8590895
0 references
This paper deals with positive solutions to nonautonomous competitive Kolmogorov systems of reaction-diffusion equations. The main goal of the work consists of establishing a sufficient condition for permanence, expressed in terms of inequalities connecting the time-averaging of intrinsic growth rates, interaction coefficients, migration rates and principal eigenvalues.NEWLINENEWLINEThese results are obtained by using some estimates previously established by \textit{R. R. Vance} and \textit{E. A. Coddington} [J. Math. Biol. 27, No. 5, 491--506 (1989; Zbl 0716.92016)].NEWLINENEWLINEThe paper ends with a section in which it is informally explained that the condition established in the paper can be considered as an invasibility condition.
0 references
