TY - JOUR
T1 - Cyclic competition of mobile species on continuous space
T2 - Pattern formation and coexistence
AU - Ni, Xuan
AU - Wang, Wen Xu
AU - Lai, Ying-Cheng
AU - Grebogi, Celso
PY - 2010/12/23
Y1 - 2010/12/23
N2 - We propose a model for cyclically competing species on continuous space and investigate the effect of the interplay between the interaction range and mobility on coexistence. A transition from coexistence to extinction is uncovered with a strikingly nonmonotonic behavior in the coexistence probability. About the minimum in the probability, switches between spiral and plane-wave patterns arise. A strong mobility can either promote or hamper coexistence, depending on the radius of the interaction range. These phenomena are absent in any lattice-based model, and we demonstrate that they can be explained using nonlinear partial differential equations. Our continuous-space model is more physical and we expect the findings to generate experimental interest.
AB - We propose a model for cyclically competing species on continuous space and investigate the effect of the interplay between the interaction range and mobility on coexistence. A transition from coexistence to extinction is uncovered with a strikingly nonmonotonic behavior in the coexistence probability. About the minimum in the probability, switches between spiral and plane-wave patterns arise. A strong mobility can either promote or hamper coexistence, depending on the radius of the interaction range. These phenomena are absent in any lattice-based model, and we demonstrate that they can be explained using nonlinear partial differential equations. Our continuous-space model is more physical and we expect the findings to generate experimental interest.
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U2 - 10.1103/PhysRevE.82.066211
DO - 10.1103/PhysRevE.82.066211
M3 - Article
C2 - 21230727
AN - SCOPUS:78651429893
VL - 82
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 6
M1 - 066211
ER -