LMI approach to stability for a competitive Lotka-Volterra system with time-varying delays

DOI10.1016/j.amc.2007.04.024zbMath1193.34153OpenAlexW2031315888MaRDI QIDQ990674

Yuan Gong Sun, Fan Wei Meng

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.024

zbMATH Keywords

linear matrix inequalitylocal stabilityLotka-Volterra systemtime-varying delay

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (2)

A novel method to determine the local stability of the \(n\)-species Lotka-Volterra system with multiple delays ⋮ Improved LMI-based stability conditions for a competitive Lotka-Volterra system with time-varying delays

Uses Software

• Matlab
• LMI toolbox

Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Introduction to functional differential equations
• Positive periodic solutions of neutral Lotka-Volterra system with feedback control
• Stability for a competitive Lotka-Volterra system with delays
• Stability for a competitive Lotka--Volterra system with delays: LMI optimization approach
• Global asymptotic stability in \(n\)-species non-autonomous Lotka-Volterra competitive systems with infinite delays and feedback control
• Linear Matrix Inequalities in System and Control Theory

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