In classes 26 and 27 of 3D seasonal Lotka-Volterra models, positive fixed points of the Poincare map are not always unique, permitting continua of invariant closed curves with periodic, dense, or fixed-point orbits.
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Global dynamics of three-dimensional Lotka-Volterra competition models with seasonal succession: II. Uniqueness of positive fixed points
In classes 26 and 27 of 3D seasonal Lotka-Volterra models, positive fixed points of the Poincare map are not always unique, permitting continua of invariant closed curves with periodic, dense, or fixed-point orbits.