Nature Communications (Sep 2016)

The Google matrix controls the stability of structured ecological and biological networks

  • Lewi Stone

DOI
https://doi.org/10.1038/ncomms12857
Journal volume & issue
Vol. 7, no. 1
pp. 1 – 7

Abstract

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May showed that ecosystem stability decreases above some threshold complexity. Here, Stone generalizes May’s random matrix approach to realistic species interaction networks through a Google-matrix reduction scheme, and provides an explanation for why feasible ecological networks are usually stable.