Permanence and global stability in a Lotka-Volterra predator-prey system with delays

DOI10.1016/S0893-9659(03)90124-8zbMath1054.34127OpenAlexW2058732322WikidataQ115564143 ScholiaQ115564143MaRDI QIDQ1433203

Yoshiaki Muroya

Publication date: 15 June 2004

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

Full work available at URL: https://doi.org/10.1016/s0893-9659(03)90124-8

zbMATH Keywords

global asymptotic stabilitypermanenceLotka-Volterra predator-prey system

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Related Items (13)

Permanence for a discrete time Lotka-Volterra type food-chain model with delays ⋮ PERSISTENCE AND GLOBAL STABILITY IN A PREDATOR-PREY SYSTEM WITH DELAY ⋮ Exploration on dynamics in a discrete predator–prey competitive model involving feedback controls ⋮ Feedback control effect on the Lotka-Volterra prey-predator system with discrete delays ⋮ Asymptotic Behavior of Age-Structured and Delayed Lotka--Volterra Models ⋮ Dynamical behavior of a delayed diffusive predator-prey model with competition and type III functional response ⋮ Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays ⋮ Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls ⋮ Persistence and global stability in Lotka-Volterra delay differential systems. ⋮ Dynamic analysis of stochastic Lotka-Volterra predator-prey model with discrete delays and feedback control ⋮ Dynamical behaviour of a delayed three species predator-prey model with cooperation among the prey species ⋮ Permanence in a discrete mutualism model with infinite deviating arguments and feedback controls ⋮ Dynamics in a Lotka-Volterra predator-prey model with time-varying delays

Cites Work

• Global asymptotic stability in Volterra's population systems
• Necessary and sufficient conditions for permanence and global stability of a Lotka-Volterra system with two delays
• The necessary and sufficient condition for global stability of a Lotka-Volterra cooperative or competition system with delays
• Persistence and global stability for a delayed nonautonomous predator-prey system without dominating instantaneous negative feedback

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