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Emergence of target waves in paced populations of cyclically competing species

Jiang, Luo-Luo ; Zhou, Tao ; Perc, Matjaž ; Huang, Xin ; Wang, Bing-Hong

In: New Journal of Physics, 2009, vol. 11, p. 103001

We investigate the emergence of target waves in a cyclic predator–prey model incorporating a periodic current of the three competing species in a small area situated at the center of a square lattice. The periodic current acts as a pacemaker, trying to impose its rhythm on the overall spatiotemporal evolution of the three species. We show that the pacemaker is able to nucleate target waves that...