Abstract
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.
| Original language | English |
|---|---|
| Article number | 066211 |
| Number of pages | 8 |
| Journal | Physical Review. E, Statistical, Nonlinear and Soft Matter Physics |
| Volume | 82 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 23 Dec 2010 |
Keywords
- rock-paper-scissors
- promotes biodiversity
- spiral waves
- populations
- game
- hypercycles
- dynamics
- chaos
- allelopathy
- evolution
Cite this
Cyclic competition of mobile species on continuous space : pattern formation and coexistence. / Ni, Xuan; Wang, Wen-Xu; Lai, Ying-Cheng; Grebogi, Celso.
In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 82, No. 6, 066211, 23.12.2010.Research output: Contribution to journal › Article
}
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.
KW - rock-paper-scissors
KW - promotes biodiversity
KW - spiral waves
KW - populations
KW - game
KW - hypercycles
KW - dynamics
KW - chaos
KW - allelopathy
KW - evolution
U2 - 10.1103/PhysRevE.82.066211
DO - 10.1103/PhysRevE.82.066211
M3 - Article
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 -