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 |
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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