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Spectral control for ecological stability

Author

Listed:
  • Giulia Cencetti

    (Dipartimento di Ingegneria dell’Informazione, Università degli Studi di Firenze
    Dipartimento di Fisica e Astronomia and CSDC, Università degli Studi di Firenze
    INFN Sezione di Firenze)

  • Franco Bagnoli

    (Dipartimento di Fisica e Astronomia and CSDC, Università degli Studi di Firenze
    INFN Sezione di Firenze)

  • Giorgio Battistelli

    (Dipartimento di Ingegneria dell’Informazione, Università degli Studi di Firenze)

  • Luigi Chisci

    (Dipartimento di Ingegneria dell’Informazione, Università degli Studi di Firenze)

  • Duccio Fanelli

    (Dipartimento di Fisica e Astronomia and CSDC, Università degli Studi di Firenze
    INFN Sezione di Firenze)

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.

Suggested Citation

  • Giulia Cencetti & Franco Bagnoli & Giorgio Battistelli & Luigi Chisci & Duccio Fanelli, 2018. "Spectral control for ecological stability," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(10), pages 1-13, October.
    • Handle: RePEc:spr:eurphb:v:91:y:2018:i:10:d:10.1140_epjb_e2018-90059-y
    DOI: 10.1140/epjb/e2018-90059-y
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    Keywords

    Statistical and Nonlinear Physics;

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