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Global stability in the 2D Ricker equation
Authors:Brian Ryals  Robert J. Sacker
Affiliation:1. Department of Mathematics, University of Southern California, Los Angeles, CA, USAryals@usc.edu rsacker@usc.edu;3. Department of Mathematics, University of Southern California, Los Angeles, CA, USA
Abstract:We improve a previous result for the 2D Ricker equation by reducing an infinite number of topological conditions to a finite number. We also give sufficient conditions in terms of the parameters where many of these topological conditions are satisfied. We also discuss the various pathologies that occur for other parameter choices.
Keywords:global stability  proper maps  2D competition model
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