Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems

Author:

Wang Yi,Jiang Jifa

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference14 articles.

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2. Boundedness of prime periods of stable cycles and convergence to fixed point in discrete monotone dynamical systems;Hess;SIAM J. Math. Anal.,1993

3. Systems of differential equations which are competitive or cooperative;Hirsch;Nonlinearity,1988

4. Chain transitive sets for smooth strongly monotone dynamical systems;Hirsch;Dynamics of Discrete, Continuous Impulsive Systems,1999

5. Convergence to cycles as a typical asymptotic behavior in smoothly monotone discrete-time dynamical systems;Polác̆ik;Arch. Rat. Mech. Anal.,1991

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1. Permanence for continuous-time competitive Kolmogorov systems via the carrying simplex;Journal of Differential Equations;2024-09

2. Three limit cycles for 3D Ricker competitive system;Discrete and Continuous Dynamical Systems - B;2024

3. Existence of the carrying simplex for a retrotone map;Journal of Difference Equations and Applications;2023-11-23

4. n-dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin;Journal of Difference Equations and Applications;2023-10-13

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