Global stability of Volterra models with time delay

DOI10.1016/0022-247X(91)90289-CzbMath0760.34058MaRDI QIDQ1178468

Xiaoqing Weng, Zhien Ma, Herb I. Freedman

Publication date: 26 June 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionalglobal asymptotical stability\(n\)-species Volterra system with discrete and continuous time delays

Mathematics Subject Classification ID

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

Related Items (6)

The effect of delays on the permanence for Lotka-Volterra systems ⋮ Robust interval stability, persistence, and partial stability of Lotka-Volterra systems with time-delay ⋮ Persistence and non-persistence of a stochastic food chain model with finite delay ⋮ Hopf bifurcation and global stability for a delayed predator-prey system with stage structure for predator ⋮ Stability of some nonlinear systems with delay including populations systems ⋮ The necessary and sufficient condition for global stability of a Lotka-Volterra cooperative or competition system with delays

Cites Work

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• Stability of predation models with time delay
• Global Stability of a Biological Model with Time Delay
• Stability Criteria for a System Involving Two Time Delays
• Conditions for Global Stability Concerning a Prey-Predator Model with Delay Effects

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