Extinction in nonautonomous discrete Lotka-Volterra competitive system with pure delays and feedback controls

DOI10.1155/2009/656549zbMath1178.39007OpenAlexW2031038414WikidataQ58647531 ScholiaQ58647531MaRDI QIDQ1040156

Shujing Gao, Tailei Zhang, Ling Zhang, Zhi-Dong Teng

Publication date: 23 November 2009

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/224477

zbMATH Keywords

feedback controlsdiscrete Lyapunov functionalsdiscrete time Lotka-Volterra competitive system with pure delays

Mathematics Subject Classification ID

Feedback control (93B52) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12)

Related Items (3)

Extinction for a discrete competition system with feedback controls ⋮ Dynamic behaviors of a discrete Lotka-Volterra competition system with infinite delays and single feedback control ⋮ Dynamics of a discrete allelopathic phytoplankton model with infinite delays and feedback controls

Cites Work

• Persistence and global stability in discrete models of Lotka--Volterra type
• Permanence and global stability in a discrete \(n\)-species competition system with feedback controls
• On the permanence in non-autonomous Lotka-Volterra competitive system with pure-delays and feedback controls
• Extinction in nonautonomous Lotka-Volterra competitive system with pure-delays and feedback controls
• Persistence and global stability for discrete models of nonautonomous Lotka-Volterra type.
• Stable periodic solution of a discrete periodic Lotka-Volterra competition system
• Permanence and global attractivity for Lotka-Volterra difference systems
• Global stability of discrete population models with time delays and fluctuating environment

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