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Spectral control for ecological stability

  • Giulia Cencetti
  • Franco Bagnoli
  • Giorgio Battistelli
  • Luigi Chisci
  • Duccio Fanelli
Regular Article
  • 23 Downloads

Abstract

A system made up of N interacting species is considered. Self-reaction terms are assumed of the logistic type. Pairwise interactions take place among species according to different modalities, thus yielding a complex asymmetric disordered graph. A mathematical procedure is introduced and tested to stabilise the ecosystem via an ad hoc rewiring of the underlying couplings. The method implements minimal modifications to the spectrum of the Jacobian matrix which sets the stability of the fixed point and traces these changes back to species–species interactions. Resilience of the equilibrium state appear to be favoured by predator-prey interactions.

Keywords

Statistical and Nonlinear Physics 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Dipartimento di Ingegneria dell’Informazione, Università degli Studi di FirenzeFlorenceItaly
  2. 2.Dipartimento di Fisica e Astronomia and CSDC, Università degli Studi di FirenzeSesto FiorentinoItaly
  3. 3.INFN Sezione di FirenzeSesto FiorentinoItaly

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