Abstract
A three-species predator–prey system with cyclic predator–prey relations (also called the rock–paper–scissors game) on a one-dimensional lattice where all individuals migrate in the same direction is studied. Each individual can look ahead within a certain range and can stop its migration when too many predators occur within its lookahead range. Simulation experiments revealed that the three species can coexist within a wide range of model parameter values, providing insights into the dynamical phase transition between coexisting and single phases.
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