Permanence for three species with cyclic loop

DOI10.1080/00207729208949263zbMath0756.93033OpenAlexW2037395474MaRDI QIDQ4012730

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Publication date: 27 September 1992

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207729208949263

zbMATH Keywords

heteroclinic cycletime evolution

Mathematics Subject Classification ID

Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Multiple cyclic sets connecting saddle points and limit cycles of a four- species system and its uniform persistence

Cites Work

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• A theorem on average Liapunov functions
• Global stability and oscillations in classical Lotka-Volterra loops
• Uniform persistence in multispecies population models
• A permanence theorem for replicator and Lotka-Volterra systems
• Uniform persistence and chain recurrence
• A general cooperation theorem for hypercycles

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