Existence of coexistence states: A generic property for cyclic 3-dimensional competitive systems

DOI10.1006/jmaa.2000.7287zbMath0985.34032OpenAlexW1995433355MaRDI QIDQ5938641

Antonio R. Tineo

Publication date: 10 May 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/0a275c0e3e57ff0c0ff05960614f6bd76be7d75e

zbMATH Keywords

Poincaré mapcoexistence statecompetitive systemcyclic system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25)

Related Items (5)

Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays ⋮ Equilibria in some families of Kolmogorov systems ⋮ Iterative scheme for the observation of a competitive Lotka-Volterra system ⋮ Coexistence States for Cyclic 3-Dimensional Systems ⋮ May Leonard systems

Cites Work

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• Competition systems with periodic coefficients: A geometric approach
• On the differential equations of species in competition
• Coexistence states for periodic competitive Kolmogorov systems
• Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems
• On the number of positive periodic solutions for planar competing Lotka-Volterra systems
• Systems of differential equations which are competitive or cooperative: III. Competing species
• Nonlinear Aspects of Competition Between Three Species

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