Graph theoretical criteria for stability and boundedness of predator-prey systems

DOI10.1007/BF02459411zbMath0496.92012OpenAlexW4251970332MaRDI QIDQ1170136

Fortunata Solimano, Edoardo Beretta

Publication date: 1982

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459411

zbMATH Keywords

boundednessglobal stabilitylocal stabilitypredator-prey systemsloop graph

Mathematics Subject Classification ID

Trees (05C05) Population dynamics (general) (92D25) Ecology (92D40)

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Cites Work

• Stability by Liapunov's direct method. With applications
• Global stability in a class of prey-predator models
• The Volterra model for three species predator-prey systems: Boundedness and stability
• Some results about nonlinear chemical systems represented by trees and cycles
• The Two-Triangle Case of the Acquaintance Graph