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The elimination of hierarchy in a completely cyclic competition system
- Source :
-
Physica A . Jan2012, Vol. 391 Issue 1/2, p125-131. 7p. - Publication Year :
- 2012
-
Abstract
- Abstract: Interactions among competing units are crucial to maintaining biodiversity, and non-hierarchical interactions can promote biodiversity in cyclic competing systems. In the present study, we explore the role of hierarchical interactions, existing ubiquitously in reality, in the co-evolution of a cyclic competing system. In systems composed of cyclic competing species with hierarchy interactions in which one predator species has more than one prey, we find that hierarchy disappears in a rather short evolving time. In the process of co-evolution, a hierarchical competing system tends to transit to a cyclic non-hierarchical competing system described by the rock–paper–scissors game. In other words, the cyclic competing interactions appear to eradicate hierarchy. This conclusion is analyzed by a mean-field approach and is tested by stochastic simulations. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 03784371
- Volume :
- 391
- Issue :
- 1/2
- Database :
- Academic Search Index
- Journal :
- Physica A
- Publication Type :
- Academic Journal
- Accession number :
- 66662728
- Full Text :
- https://doi.org/10.1016/j.physa.2011.08.019