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On-Off Intermittency in a Three-Species Food Chain

Author

Listed:
  • Gabriele Vissio

    (Institute of Geosciences and Earth Resources, National Research Council, 10125 Turin, Italy)

  • Antonello Provenzale

    (Institute of Geosciences and Earth Resources, National Research Council, 56124 Pisa, Italy)

Abstract

The environment affects population dynamics through multiple drivers. Here we explore a simplified version of such influence in a three-species food chain, making use of the Hastings–Powell model. This represents an idealized resource–consumer–predator chain, or equivalently, a vegetation–host–parasitoid system. By stochastically perturbing the value of some parameters in this dynamical system, we observe dramatic modifications in the system behavior. In particular, we show the emergence of on–off intermittency, i.e., an irregular alternation between stable phases and sudden bursts in population size, which hints towards a possible conceptual description of population outbursts grounded into an environment-driven mechanism.

Suggested Citation

  • Gabriele Vissio & Antonello Provenzale, 2021. "On-Off Intermittency in a Three-Species Food Chain," Mathematics, MDPI, vol. 9(14), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1641-:d:593028
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