Hou, Z;
Baigent, SA;
(2015)
Global stability and repulsion in autonomous Kolmogorov systems.
Communications on Pure and Applied Analysis
, 14
(3)
pp. 1205-1238.
10.3934/cpaa.2015.14.1205.
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Abstract
Criteria are established for the global attraction, or global repulsion on a compact invariant set, of interior and boundary fixed points of Kolmogorov systems. In particular, the notions of diagonal stability and Split Lyapunov stability that have found wide success for Lotka-Volterra systems are extended for Kolmogorov systems. Several examples from theoretical ecology and evolutionary game theory are discussed to illustrate the results.
| Type: | Article |
|---|---|
| Title: | Global stability and repulsion in autonomous Kolmogorov systems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.3934/cpaa.2015.14.1205 |
| Publisher version: | http://dx.doi.org/10.3934/cpaa.2015.14.1205 |
| Language: | English |
| Additional information: | This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Communications on Pure and Applied Analysis (CPAA) following peer review. The definitive publisher-authenticated version Hou, Z; Baigent, SA; (2015) Global stability and repulsion in autonomous Kolmogorov systems. Communications on Pure and Applied Analysis , 14 (3) pp. 1205-1238. - is available online at: http://dx.doi.org/10.3934/cpaa.2015.14.1205 |
| Keywords: | Kolmogorov systems, Global attraction/repulsion, Split Lyapunov |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1458420 |
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