An exclusion principle for periodic competitive systems in three dimensions
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Publication:4381935
DOI10.1016/S0362-546X(97)00445-8zbMath0901.34049MaRDI QIDQ4381935
Rafael Ortega, Antonio R. Tineo
Publication date: 26 November 1998
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Dynamical systems and ergodic theory (37-XX)
Related Items (10)
Massera's theorem for monotone dynamical systems in three dimensions ⋮ Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems ⋮ Carrying simplices in nonautonomous and random competitive Kolmogorov systems ⋮ Exclusion and dominance in discrete population models via the carrying simplex ⋮ Linearization and invariant manifolds on the carrying simplex for competitive maps ⋮ Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding ⋮ Coexistence states for periodic competitive Kolmogorov systems ⋮ Extinction or coexistence in periodic Kolmogorov systems of competitive type ⋮ Partial survival and extinction of species in discrete nonautonomous Lotka-Volterra systems ⋮ Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems
Cites Work
- Competition systems with periodic coefficients: A geometric approach
- Permanence and positive periodic solutions for Kolmogorov competing species systems
- Brouwer's plane translation theorem and generalizations of the Poincaré-Birkhoff theorem
- Systems of differential equations which are competitive or cooperative: III. Competing species
- How to give an Exposition of the Cech-Alexander-Spanier type Homology Theory
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