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Multiple mixed-type attractors in a competition model
- DOI:
- 10.1080/17513750701610010
pages 347-362
Available online: 12 Nov 2007Abstract
We show that a discrete-time, two-species competition model with Ricker (exponential) nonlinearities can exhibit multiple mixed-type attractors. By this is meant dynamic scenarios in which there are simultaneously present both coexistence attractors (in which both species are present) and exclusion attractors (in which one species is absent). Recent studies have investigated the inclusion of life-cycle stages in competition models as a casual mechanism for the existence of these kinds of multiple attractors. In this paper we investigate the role of nonlinearities in competition models without life-cycle stages.
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- Available online: 12 Nov 2007
Author affiliations
- a Department of Mathematics, University of Arizona, Tucson, AZ, 85721, USA
- b Department of Mathematics, Andrews University, Berrien Springs, MI, 49104, USA
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