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

Stability and Asymptotic Behavior of Differential Equations.

F. S. Van Vleck, W. A. Coppel · American Mathematical Monthly · 1968 · 1.4K citations

Natural Sciences, Mathematics, Differential Equations +12

Systems of differential equations which are competitive or cooperative: III. Competing species

Morris W. Hirsch · Nonlinearity · 1988 · 284 citations · Full text

Natural Sciences, Mathematics, Competitive Dynamics +12

Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems

Peter Poláčik, Ignác Tereščák · Archive for Rational Mechanics and Analysis · 1992 · 114 citations

Natural Sciences, Mathematics, Dynamical Systems +12

Periodic competitive differential equations and the discrete dynamics of competitive maps

Hal L. Smith · Journal of Differential Equations · 1986 · 110 citations

Natural Sciences, Mathematics, Competitive Dynamics +15

Convergence to equilibrium on invariant d-hypersurfaces for strongly increasing discrete-time semigroups

Peter Takáč · Journal of Mathematical Analysis and Applications · 1990 · 61 citations

Natural Sciences, Mathematics, Dynamical Systems +5