Permanence and global attractivity of a delayed discrete predator-prey system with general Holling-type functional response and feedback controls

DOI10.1155/2008/629620zbMath1161.39017OpenAlexW2168273812WikidataQ58644515 ScholiaQ58644515MaRDI QIDQ1009417

Zhong Li, Junyan Xu, Li-Juan Chen

Publication date: 1 April 2009

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

Full work available at URL: https://eudml.org/doc/129899

zbMATH Keywords

global stabilityglobal attractivityperiodic solutionpermanencefeedback controlsdelayed discrete predator-prey systemgeneral Holling-type functional response

Mathematics Subject Classification ID

Feedback control (93B52) Population dynamics (general) (92D25) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

Related Items (5)

Permanence of the periodic predator-prey-mutualist system ⋮ On the stability property of the infection-free equilibrium of a viral infection model ⋮ Permanence of a predator–prey discrete system with Holling-IV functional response and distributed delays ⋮ Seasonally perturbed prey-predator ecological system with the Beddington-DeAngelis functional response ⋮ Permanence and global attractivity of discrete predator-prey system with Hassell-Varley type functional response

Cites Work

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• Positive periodic solutions of discrete Lotka-Volterra competition systems with state dependent and distributed delays
• Permanence and global attractivity of the discrete Gilpin-Ayala type population model
• Existence of positive periodic solutions for difference equations with feedback control
• The permanence and global attractivity of Lotka--Volterra competition system with feedback controls
• Positive periodic solutions for a periodic neutral differential equation with feedback control

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