Spiral wave chimera-like transient dynamics in three-dimensional grid of diffusive ecological systems

Bidesh K. Bera, Srilena Kundu, Paulsamy Muruganandam, Dibakar Ghosh, M. Lakshmanan

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

In the present article, we demonstrate the emergence and existence of the spiral wave chimera-like transient pattern in coupled ecological systems, composed of prey-predator patches, where the patches are connected in a three-dimensional medium through local diffusion. We explore the transition scenarios among several collective dynamical behaviors together with transient spiral wave chimera-like states and investigate the long time behavior of these states. The transition from the transient spiral chimera-like pattern to the long time synchronized or desynchronized pattern appears through the deformation of the incoherent region of the spiral core. We discuss the transient dynamics under the influence of the species diffusion at different time instants. By calculating the instantaneous strength of incoherence of the populations, we estimate the duration of the transient dynamics characterized by the persistence of the chimera-like spatial coexistence of coherent and incoherent patterns over the spatial domain. We generalize our observations on the transient dynamics in a three-dimensional grid of diffusive ecological systems by considering two different prey-predator systems.

Original languageEnglish
Article number083125
JournalChaos
Volume31
Issue number8
DOIs
StatePublished - 1 Aug 2021

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics

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