Baigent, SA and Hou, Z (2012) Global stability of interior and boundary fixed points for Lotka-Volterra systems. Differential Equations and Dynamical Systems: an international journal for theory and applications , 20 (1) 53 - 66. 10.1007/s12591-012-0103-0.
Full text not available from this repository.
Abstract
For permanent and partially permanent, uniformly bounded Lotka-Volterra systems, we apply the Split Lyapunov function technique developed for competitive Lotka-Volterra systems to find new conditions that an interior or boundary fixed point of a Lotka-Volterra system with general species-species interactions is globally asymptotically stable. Unlike previous applications of the Split Lyapunov technique to competitive Lotka-Volterra systems, our method does not require the existence of a carrying simplex.
| Type: | Article |
|---|---|
| Title: | Global stability of interior and boundary fixed points for Lotka-Volterra systems |
| DOI: | 10.1007/s12591-012-0103-0 |
| Publisher version: | http://www.springerlink.com/content/k150213882w55611/ |
| Keywords: | Lotka-Volterra systems, global attractors, global repellors |
| UCL classification: | UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics |
Archive Staff Only: edit this record