Document Type

Post-Print

Publication Date

3-2014

Abstract

Under certain analytic and geometric assumptions we show that local stability of the coexistence (positive) fixed point of the planar Ricker competition model implies global stability with respect to the interior of the positive quadrant. This result is a confluence of ideas from Dynamical Systems, Geometry, and Topology that provides a framework to the study of global stability for other planar competition models.

Document Object Identifier (DOI)

10.3934/dcdsb.2014.19.323

Publication Information

Discrete and Continuous Dynamical Systems - Series B

Included in

Mathematics Commons

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