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.
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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.
|Title:||Global stability of interior and boundary fixed points for Lotka-Volterra systems|
|Keywords:||Lotka-Volterra systems, global attractors, global repellors|
|UCL classification:||UCL > School of BEAMS > Faculty of Maths and Physical Sciences > Mathematics|
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