Topological criteria of global attraction with applications in population dynamics

DOI10.1088/0951-7715/25/10/2823zbMath1279.37015OpenAlexW2003469530MaRDI QIDQ3165382

Alfonso Ruiz-Herrera

Publication date: 26 October 2012

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8147aff885b459e8a6e0ac6ec854fee3b21499c1

zbMATH Keywords

arcsomega limit setglobal attractiontrivial dynamicsplanar discrete-time dynamical systems

Mathematics Subject Classification ID

Applications of graph theory (05C90) Stability of topological dynamical systems (37B25) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) General biology and biomathematics (92B05)

Related Items (5)

Simple dynamics in non-monotone Kolmogorov systems ⋮ Attraction in nonmonotone planar systems and real-life models ⋮ Čech cohomology of attractors of discrete dynamical systems ⋮ A strategy to locate fixed points and global perturbations of ODE's: mixing topology with metric conditions ⋮ Geometric method for global stability of discrete population models

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