Competing subcommunities of mutualists

DOI10.1016/0898-1221(89)90013-8zbMath0688.92017OpenAlexW2132035979WikidataQ111266038 ScholiaQ111266038MaRDI QIDQ1264114

Hal Leslie Smith

Publication date: 1989

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(89)90013-8

zbMATH Keywords

competitiontime delaysPersistenceconvergence to equilibriageneral system of Kolmogorov-type equationsinterspecies interactionssubcommunities of mutualists

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Ecology (92D40) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Cites Work

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• Monotone semiflows generated by functional differential equations
• The existence of globally stable equilibria of ecosystems of the generalized Volterra type
• Positively invariant closed sets for systems of delay-differential equations
• Global stability of ecosystems of the generalized Volterra type
• Stability and convergence in strongly monotone dynamical systems.
• The dynamical systems approach to differential equations
• On the Asymptotic Behavior of a Class of Deterministic Models of Cooperating Species
• Competing Subcommunities of Mutualists and a Generalized Kamke Theorem
• Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
• Systems of Ordinary Differential Equations Which Generate an Order Preserving Flow. A Survey of Results

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