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The property of convex carrying simplices for competitive maps
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jdeq.1994.1087openalex-snapshot
The C1 Property of Carrying Simplices for a Class of Competitive Systems of ODEs
inferredcites →https://doi.org/10.1006/jdeq.1997.3269openalex-snapshot
On Invariant Hypersurfaces of Strongly Monotone Maps
inferredcites →https://doi.org/10.1006/jmaa.2001.7776openalex-snapshot
Kolmogorov Vector Fields with Robustly Permanent Subsystems
inferredcites →https://doi.org/10.1007/bf00307854openalex-snapshot
On the differential equations of species in competition
inferredcites →https://doi.org/10.1007/s00285-015-0920-1openalex-snapshot
On heteroclinic cycles of competitive maps via carrying simplices
inferredcites →https://doi.org/10.1007/s00285-016-1052-yopenalex-snapshot
On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex
inferredcites →https://doi.org/10.1016/0022-0396(86)90086-0openalex-snapshot
Periodic competitive differential equations and the discrete dynamics of competitive maps
inferredcites →https://doi.org/10.1016/j.jde.2008.10.008openalex-snapshot
Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding
inferredcites →https://doi.org/10.1016/s0022-0396(02)00025-6openalex-snapshot
Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems
inferredcites →https://doi.org/10.1016/s0096-3003(00)00063-1openalex-snapshot
On the convexity of the carrying simplex of planar Lotka–Volterra competitive systems
inferredcites →https://doi.org/10.1017/s0013091510000684openalex-snapshot
Convexity-preserving flows of totally competitive planar Lotka–Volterra equations and the geometry of the carrying simplex
inferredcites →https://doi.org/10.1080/10236198.2011.628663openalex-snapshot
Exclusion and dominance in discrete population models via the carrying simplex
inferredcites →https://doi.org/10.1080/10236198.2015.1125895openalex-snapshot
Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems
inferredcites →https://doi.org/10.1080/10236198.2017.1388375openalex-snapshot
Global stability of higher dimensional monotone maps
inferredcites →https://doi.org/10.1080/10236198.2018.1428964openalex-snapshot
TheC1property of convex carrying simplices for three-dimensional competitive maps
inferredcites →https://doi.org/10.1080/17513750801939236openalex-snapshot
On existence and uniqueness of the carrying simplex for competitive dynamical systems
inferredcites →https://doi.org/10.1088/0951-7715/1/1/003openalex-snapshot
Systems of differential equations which are competitive or cooperative: III. Competing species
inferredcites →https://doi.org/10.1088/0951-7715/26/4/1001openalex-snapshot
Geometry of carrying simplices of 3-species competitive Lotka–Volterra systems
inferredcites →https://doi.org/10.1088/1361-6544/aab46eopenalex-snapshot
Trivial dynamics in discrete-time systems: carrying simplex and translation arcs
inferredcites →https://doi.org/10.1090/s0002-9947-02-03103-3openalex-snapshot
From local to global behavior in competitive Lotka-Volterra systems
inferredcites →https://doi.org/10.1090/s0065-9266-10-00574-0openalex-snapshot
Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
inferredcites →https://doi.org/10.1515/crll.1994.446.115openalex-snapshot
Controlling nonuniqueness of local invariant manifolds.
inferredcites →https://doi.org/10.4064/cm-81-2-285-292openalex-snapshot
On peaks in carrying simplices
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s10884-020-09893-wopenalex-snapshot
Attraction in Nonmonotone Planar Systems and Real-Life Models
inferred← citeshttps://doi.org/10.1007/s10884-022-10219-1openalex-snapshot
Prevalent Behavior and Almost Sure Poincaré–Bendixson Theorem for Smooth Flows with Invariant k-Cones
inferred← citeshttps://doi.org/10.1007/s10884-022-10233-3openalex-snapshot
Multiplicity on Limit Cycles of 3D Lotka-Volterra Competitive Systems
inferred← citeshttps://doi.org/10.1016/j.jde.2019.08.001openalex-snapshot
Linearization and invariant manifolds on the carrying simplex for competitive maps
inferred← citeshttps://doi.org/10.1016/j.jde.2020.11.004openalex-snapshot
Generic behavior of flows strongly monotone with respect to high-rank cones
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113623openalex-snapshot
Birkhoff center and statistical behavior of competitive dynamical systems
inferred← citeshttps://doi.org/10.1017/etds.2019.87openalex-snapshot
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