Persistence in three-dimensional Lotka-Volterra systems

DOI10.1016/0895-7177(88)90117-3zbMath0632.92019OpenAlexW2054755064MaRDI QIDQ1095844

Paul Waltman, Geoffrey Butler

Publication date: 1988

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0895-7177(88)90117-3

zbMATH Keywords

limit cyclescritical pointshyperbolicpersistence of three- dimensional Lotka-Volterra systems

Mathematics Subject Classification ID

Ecology (92D40) Applications of dynamical systems (37N99) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

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Cites Work

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• Persistence in food webs: Holling-type food chains
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• Systems of Differential Equations Which Are Competitive or Cooperative: I. Limit Sets
• Nonlinear Aspects of Competition Between Three Species
• Persistence in dynamical systems