Perturbing cyclic predator-prey systems: How a six-species coarsening system with nontrivial in-domain dynamics responds to sudden changes

Shadisadat Esmaeili, Barton L. Brown, and Michel Pleimling
Phys. Rev. E 98, 062105 – Published 5 December 2018

Abstract

Cyclic predator-prey systems have been shown to give rise to rich, and novel, space-time patterns, as, for example, coarsening domains with nontrivial in-domain dynamics. In this work, we study numerically the responses of a cyclic six-species model, characterized by the formation of spirals inside coarsening domains, to two different types of perturbations: changing the values of the predation and reproduction rates as well as changing the interaction scheme. For both protocols, we monitor the time evolution of the system after the onset of the perturbation through the measurement of dynamical correlation functions and time-dependent densities of empty sites. In this way, we gain insights into the complex responses to different perturbations in a system in which spirals, which are due to the formation of cyclic alliances, dominate the dynamics inside the coarsening domains.

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  • Received 21 June 2018

DOI:https://doi.org/10.1103/PhysRevE.98.062105

©2018 American Physical Society

Physics Subject Headings (PhySH)

Statistical Physics & ThermodynamicsPhysics of Living Systems

Authors & Affiliations

Shadisadat Esmaeili1,2, Barton L. Brown1,2, and Michel Pleimling1,2,3

  • 1Department of Physics, Virginia Tech, Blacksburg, Virginia 24061-0435, USA
  • 2Center for Soft Matter and Biological Physics, Virginia Tech, Blacksburg, Virginia 24061-0435, USA
  • 3Academy of Integrated Science, Virginia Tech, Blacksburg, Virginia 24061-0405, USA

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Issue

Vol. 98, Iss. 6 — December 2018

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