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Global stability and repulsion in autonomous Kolmogorov systems

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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

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.

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Title:
Global stability and repulsion in autonomous Kolmogorov systems
Creators:
Hou, Zhanyuan and Baigent, Stephen
Identification Number:
https://doi.org/10.3934/cpaa.2015.14.1205
Official URL:
https://aimsciences.org/journals/home.jsp?journalI...
Date:
May 2015
Subjects:
500 Natural Sciences and Mathematics > 510 Mathematics
500 Natural Sciences and Mathematics > 570 Life sciences; biology
Department:
School of Computing and Digital Media
Publisher:
American Institute of Mathematical Sciences
Uncontrolled Keywords:
Kolmogorov systems; Lyapunov function approaches; Lotka-Volterra systems
Record
URI:
https://repository.londonmet.ac.uk/id/eprint/753
Item Type:
Article
Depositing User:
Zhanyuan Hou
Date Deposited:
14 Sep 2015 09:57
Revision:
15
Last Modified:
28 Apr 2020 15:01
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