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Emergence of target waves in paced populations of cyclically competing species

  • Jiang, Luo-Luo Department of Modern Physics, University of Science and Technology of China, Hefei China
  • Zhou, Tao Department of Modern Physics, University of Science and Technology of China, Hefei China - Department of Physics, University of Fribourg, Switzerland
  • Perc, Matjaž Department of Physics, Faculty of Natural Sciences and Mathematics, University of Maribor, Slovenia
  • Huang, Xin Department of Physics, University of Science and Technology of China, Hefei, China
  • Wang, Bing-Hong Department of Modern Physics, University of Science and Technology of China, Hefei China
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    02.10.2009
Published in:
  • New Journal of Physics. - 2009, vol. 11, p. 103001
English 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 eventually spread across the whole population, whereby three routes leading to this phenomenon can be distinguished depending on the mobility of the three species and the oscillation period of the localized current. First, target waves can emerge due to the synchronization between the periodic current and oscillations of the density of the three species on the spatial grid. The second route is similar to the first, the difference being that the synchronization sets in only intermittently. Finally, the third route toward target waves is realized when the frequency of the pacemaker is much higher than that characterizing the oscillations of the overall density of the three species. By considering the mobility and frequency of the current as variable parameters, we thus provide insights into the mechanisms of pattern formation resulting from the interplay between local and global dynamics in systems governed by cyclically competing species.
Faculty
Faculté des sciences et de médecine
Department
Département de Physique
Language
  • English
Classification
Physics
License
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Persistent URL
https://folia.unifr.ch/unifr/documents/301361
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