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String networks in generalized May-Leonard models | | P. P. Avelino
; D. Bazeia
; J. Menezes
; B. F. de Oliveira
; | | Date: |
18 May 2013 | | Abstract: | Generalized May-Leonard models have proven to be a powerful tool in the study
of the dynamics complex biological and ecological systems. In this letter we
give specific examples of models leading to the formation of string networks.
We show that, in order to promote coexistence, the species may arrange
themselves around regions with a high number density of empty sites generated
by predator-prey interactions between competing species. These configurations
extend into the third dimension giving rise to string networks. We investigate
the corresponding dynamics using both stochastic and mean field theory
simulations, showing that the coarsening of these string networks follows a
scaling law which is analogous to that found in other physical systems in
condensed matter and cosmology. | | Source: | arXiv, 1305.4253 | | Services: | Forum | Review | PDF | Favorites | |
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