Document Type

Article

Publication Date

1-1-2007

Keywords

Coexistence cycles, Competitive exclusion principle, Multiple attractors

Abstract

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. © 2007 Taylor & Francis Group, LLC.

Journal Title

Journal of Biological Dynamics

Volume

1

Issue

4

First Page

347

Last Page

362

DOI

10.1080/17513750701610010

First Department

Mathematics

Acknowledgements

Retrieved February 17, 2021 from https://www.tandfonline.com/doi/full/10.1080/17513750701610010

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