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Threshold-activated transport stabilizes chaotic populations to steady states

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  • Chandrakala Meena
  • Pranay Deep Rungta
  • Sudeshna Sinha

Abstract

We explore Random Scale-Free networks of populations, modelled by chaotic Ricker maps, connected by transport that is triggered when population density in a patch is in excess of a critical threshold level. Our central result is that threshold-activated dispersal leads to stable fixed populations, for a wide range of threshold levels. Further, suppression of chaos is facilitated when the threshold-activated migration is more rapid than the intrinsic population dynamics of a patch. Additionally, networks with large number of nodes open to the environment, readily yield stable steady states. Lastly we demonstrate that in networks with very few open nodes, the degree and betweeness centrality of the node open to the environment has a pronounced influence on control. All qualitative trends are corroborated by quantitative measures, reflecting the efficiency of control, and the width of the steady state window.

Suggested Citation

  • Chandrakala Meena & Pranay Deep Rungta & Sudeshna Sinha, 2017. "Threshold-activated transport stabilizes chaotic populations to steady states," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-17, August.
    • Handle: RePEc:plo:pone00:0183251
    DOI: 10.1371/journal.pone.0183251
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    2. Tobias Reichenbach & Mauro Mobilia & Erwin Frey, 2007. "Mobility promotes and jeopardizes biodiversity in rock–paper–scissors games," Nature, Nature, vol. 448(7157), pages 1046-1049, August.
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