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Hou, Zhanyuan and Baigent, Stephen (2015) Global stability and repulsion in autonomous Kolmogorov systems. Communications on Pure and Applied Analysis, 14 (3). pp. 1205-1238. ISSN 1534-0392
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Official URL: https://aimsciences.org/journals/home.jsp?journalI...
Abstract / Description
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.
| Item Type: | Article |
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| Uncontrolled Keywords: | Kolmogorov systems; Lyapunov function approaches; Lotka-Volterra systems |
| Subjects: | 500 Natural Sciences and Mathematics > 510 Mathematics 500 Natural Sciences and Mathematics > 570 Life sciences; biology |
| Department: | School of Computing and Digital Media |
| Depositing User: | Zhanyuan Hou |
| Date Deposited: | 14 Sep 2015 09:57 |
| Last Modified: | 28 Apr 2020 15:01 |
| URI: | https://repository.londonmet.ac.uk/id/eprint/753 |
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