On-Off Intermittency in a Three-Species Food Chain

Gabriele Vissio and Antonello Provenzale
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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

Mathematics, 2021, vol. 9, issue 14, 1-11

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.

Keywords: on–off intermittency; dynamical systems; theoretical ecology; stochastic forcing; hastings-powell model; food chain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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