Global stability and repulsion in autonomous Kolmogorov systems

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(print) , 1553-5258(online)

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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.

Item Type: Article
Uncontrolled Keywords: Kolmogorov systems; Lyapunov function approaches; Lotka-Volterra systems
Subjects: 500 Natural Sciences and Mathemetics > 510 Mathematics
500 Natural Sciences and Mathemetics > 570 Life sciences; biology
Department: School of Human Sciences
Depositing User: Zhanyuan Hou
Date Deposited: 14 Sep 2015 09:57
Last Modified: 21 Sep 2015 10:01
URI: http://repository.londonmet.ac.uk/id/eprint/753

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