Stability and periodicity in competitive systems with impulses

DOI10.1007/s00009-009-0009-4zbMath1192.34049OpenAlexW2084819655MaRDI QIDQ1038596

Benedetta Lisena

Publication date: 18 November 2009

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-009-0009-4

zbMATH Keywords

Lotka-Volterra systemperiodical impulse differential equations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (2)

Unnamed Item ⋮ Exponential stability of Hopfield neural networks with impulses

Cites Work

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• Global dynamics of the periodic logistic system with periodic impulsive perturbations.
• Average conditions for global asymptotic stability in a nonautonomous Lotka-Volterra system
• The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
• The persistence in a Lotka--Volterra competition systems with impulses
• Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations
• Asymptotic stability of an \(N\)-dimensional impulsive competitive system
• Global stability in periodic competitive systems
• Necessary and sufficient average growth in a Lotka–Volterra system

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