Geometric method for global stability and repulsion in Kolmogorov systems

DOI10.1080/14689367.2018.1554030zbMath1418.37046OpenAlexW2902229359MaRDI QIDQ5228465

Zhanyuan Hou

Publication date: 12 August 2019

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://repository.londonmet.ac.uk/4039/1/Geometric%20method%20for%20glovbal%20tability%20and%20repulsion.pdf

zbMATH Keywords

global asymptotic stabilityequilibrium pointglobal attractiongeometric methodglobal repulsion

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Stability theory for smooth dynamical systems (37C75)

Related Items (6)

Simple dynamics in non-monotone Kolmogorov systems ⋮ On global dynamics of type-K competitive Kolmogorov differential systems ⋮ Globally attracting positive periodic solution of the \(n\)-dimensional periodic Ricker system ⋮ On the practical stability with respect to \(h\)-manifolds of hybrid Kolmogorov systems with variable impulsive perturbations ⋮ On existence and uniqueness of a carrying simplex in Kolmogorov differential systems ⋮ Geometric method for global stability of discrete population models

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