Necessary and sufficient conditions for permanence in four-strategy conservative replicator dynamics are given via five digraph classes, under which all non-equilibrium interior trajectories are Lyapunov-stable periodic orbits.
Lotka–Volterra Equation and Replicator Dynamics: New Issues in Classification
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On Permanence of Conservative Replicator Dynamics with Four Strategies
Necessary and sufficient conditions for permanence in four-strategy conservative replicator dynamics are given via five digraph classes, under which all non-equilibrium interior trajectories are Lyapunov-stable periodic orbits.