Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems

DOI10.1006/jdeq.1997.3265zbMath0886.34025OpenAlexW2004561587MaRDI QIDQ1365219

Rafael Ortega, Juan Campos, Antonio R. Tineo

Publication date: 27 October 1997

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/2567b542b679f0b068d7d4c38ab7577f1bd413b3

zbMATH Keywords

fixed pointlimit setcompetitive systemhomeomorphism of disk

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82C99) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Ergodic theory (37A99)

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Cites Work

• Unnamed Item
• Competition systems with periodic coefficients: A geometric approach
• On the differential equations of species in competition
• Brouwer's plane translation theorem and generalizations of the Poincaré-Birkhoff theorem
• 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
• An exclusion principle for periodic competitive systems in three dimensions