title: Cyclic competition of mobile species on continuous space: pattern formation and coexistence.
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.
authors.affiliation: Department of Physics, Arizona State University, Tempe, Arizona 85287, USA.
authors.forename: Xuan
authors.initials: X
authors.lastname: Ni
authors.forename: Wen-Xu
authors.initials: WX
authors.lastname: Wang
authors.forename: Ying-Cheng
authors.initials: YC
authors.lastname: Lai
authors.forename: Celso
authors.initials: C
authors.lastname: Grebogi
mesh_terms: D003163:Competitive Behavior; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011157:Population Dynamics; D011336:Probability; D013269:Stochastic Processes