Asymptotic behaviour and bifurcation in competitive Lotka-Volterra systems

DOI10.1016/j.aml.2011.08.014zbMath1237.34096OpenAlexW2047459857MaRDI QIDQ659838

Zhanyuan Hou

Publication date: 24 January 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.08.014

zbMATH Keywords

global attractivityHopf bifurcationasymptotic behaviourLotka-Volterracompetitive systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Attractors of solutions to ordinary differential equations (34D45)

Related Items (3)

An almost periodic competitive system subject to impulsive perturbations ⋮ Asymptotic behavior of a stochastic two-species competition system with impulsive effects ⋮ On permanence of all subsystems of competitive Lotka-Volterra systems with delays

Cites Work

• Unnamed Item
• Unnamed Item
• Positive solutions of positive linear systems
• Average growth and total permanence in a competitive Lotka-Volterra System
• Time delays in n-species competition – I: Global stability in constant environments
• Global attractor in autonomous competitive Lotka-Volterra systems
• Global attractor in competitive Lotka–Volterra systems
• Kolmogorov vector fields with robustly permanent subsystems

This page was built for publication: Asymptotic behaviour and bifurcation in competitive Lotka-Volterra systems