The \(C^ 1\) property of carrying simplices for a class of competitive systems of ODEs

From MaRDI portal
Publication:1332179

DOI10.1006/jdeq.1994.1087zbMath0804.34048OpenAlexW2016812333MaRDI QIDQ1332179

Janusz Mierczyński

Publication date: 8 September 1994

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

Full work available at URL: https://doi.org/10.1006/jdeq.1994.1087



Related Items

Generic behavior of flows strongly monotone with respect to high-rank cones, Dynamics of the periodic type-\(K\) competitive Kolmogorov systems, Convex geometry of the carrying simplex for the May-Leonard map, On invariant hypersurfaces of strongly monotone maps, On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex, On global dynamics of type-K competitive Kolmogorov differential systems, The property of convex carrying simplices for competitive maps, Almost automorphy of minimal sets for C1${C}^{1}$‐smooth strongly monotone skew‐product semiflows on Banach spaces, Dynamics alternatives and generic convergence for \(C^1\)-smooth strongly monotone discrete dynamical systems, Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems, On existence and uniqueness of the carrying simplex for competitive dynamical systems, On existence and uniqueness of a carrying simplex in Kolmogorov differential systems, Carrying simplices in nonautonomous and random competitive Kolmogorov systems, On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex, Linearization and invariant manifolds on the carrying simplex for competitive maps, Extinction in Competitive Lotka-Volterra Systems, TheC1property of convex carrying simplices for three-dimensional competitive maps, Kolmogorov vector fields with robustly permanent subsystems, On the dynamics of multi-species Ricker models admitting a carrying simplex, Invariant manifolds of competitive selection-recombination dynamics, May Leonard systems, Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding, Non-hyperbolic minimal sets for tridiagonal competitive-cooperative systems, On the convexity of the carrying simplex of planar Lotka-Volterra competitive systems., On heteroclinic cycles of competitive maps via carrying simplices, From local to global behavior in competitive Lotka-Volterra systems