A note on stability criteria in the periodic Lotka-Volterra predator-prey model

DOI10.1016/j.aml.2023.108739OpenAlexW4379740163MaRDI QIDQ6170054

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Publication date: 15 August 2023

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

Full work available at URL: https://doi.org/10.1016/j.aml.2023.108739

zbMATH Keywords

population dynamicsperiodic predator-prey modelLyapunov stability criterionperiodic planar systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Nonautonomous smooth dynamical systems (37C60)

Related Items (1)

Periodic dynamics of predator-prey system with Beddington-DeAngelis functional response and discontinuous harvesting

Cites Work

• Best constant in Sobolev inequality
• A periodic prey-predator system
• The periodic predator-prey Lotka-Volterra model
• Variations on Lyapunov's stability criterion and periodic prey-predator systems
• A Lyapunov-type stability criterion using $L^\alpha $ norms
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