The long-run behavior of periodic competitive Kolmogorov systems

DOI10.1016/S1468-1218(01)00034-7zbMath1020.92026OpenAlexW2089316312MaRDI QIDQ1863643

Yi Wang, Ji-Fa Jiang

Publication date: 11 March 2003

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1468-1218(01)00034-7

zbMATH Keywords

invariant setslimit cyclestopological entropyomega-limit setsnon-autonomous periodic competitive systems

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Related Items (9)

Dynamics of the periodic type-\(K\) competitive Kolmogorov systems ⋮ Carrying simplices in nonautonomous and random competitive Kolmogorov systems ⋮ Principal Lyapunov exponents and principal Floquet spaces of positive random dynamical systems. II. Finite-dimensional systems ⋮ Qualitative analysis of an SEIS epidemic model with nonlinear incidence rate ⋮ Monotone maps: a review ⋮ How many consumer levels can survive in a chemotactic food chain? ⋮ SEIR epidemic model with delay ⋮ Competitive systems with migration and the Poincaré-Bendixson theorem for a 4-dimensional case ⋮ Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems

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• Systems of differential equations which are competitive or cooperative: III. Competing species
• Chain transitive sets for smooth strongly monotone dynamical systems
• The general properties of dicrete-time competitive dynamical systems

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