On the global asymptotic stability of the equilibrium of the Lotka-Volterra equations in a varying environment

DOI10.1134/S0012266114030021zbMath1297.34064OpenAlexW2089891267MaRDI QIDQ2251864

A. O. Ignat'ev

Publication date: 15 July 2014

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266114030021

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (1)

A necessary and sufficient condition for global asymptotic stability of time-varying Lotka-Volterra predator-prey systems

Cites Work

• On the partial asymptotic stability in nonautonomous differential equations.
• Global asymptotic stability for predator-prey models with environmental time-variations
• Stability theory by Liapunov's direct method
• Stability theory for ordinary differential equations
• On the stability of equilibrium for almost periodic systems
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