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Basins of distinct asymptotic states in the cyclically competing mobile five species game

Author(s)
Kim, BeomseokPark, Junpyo
Issued Date
2017-10
DOI
10.1063/1.4998984
URI
https://scholarworks.unist.ac.kr/handle/201301/22946
Fulltext
http://aip.scitation.org/doi/10.1063/1.4998984
Citation
CHAOS, v.27, no.10, pp.103117
Abstract
We study the dynamics of cyclic competing mobile five species on spatially extended systems originated from asymmetric initial populations and investigate the basins for the three possible asymptotic states, coexistence of all species, existences of only two independent species, and the extinction. Through extensive numerical simulations, we find a prosperous dependence on initial conditions for species biodiversity. In particular, for fixed given equal densities of two relevant species, we find that only five basins for the existence of two independent species exist and they are spirally entangled for high mobility. A basin of coexistence is outbreaking when the mobility parameter is decreased through a critical value and surrounded by the other five basins. For fixed given equal densities of two independent species, however, we find that basin structures are not spirally entangled. Further, final states of two independent species are totally different. For all possible considerations, the extinction state is not witnessed which is verified by the survival probability. To provide the validity of basin structures from lattice simulations, we analyze the system in mean-field manners. Consequently, results on macroscopic levels are matched to direct lattice simulations for high mobility regimes. These findings provide a good insight into the fundamental issue of the biodiversity among many species than previous cases.
Publisher
AMER INST PHYSICS
ISSN
1054-1500
Keyword
ROCK-PAPER-SCISSORSPROMOTES BIODIVERSITYSENSITIVE DEPENDENCEINITIAL CONDITIONSSELF-ORGANIZATIONCHAOSPOPULATIONSSYSTEMS

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