Probabilistic mechanisms of the noise-induced oscillatory transitions in a Leslie type predator-prey model

Chaoqun Xu

Chaos, Solitons & Fractals, 2020, vol. 137, issue C

Abstract: A phenomenon of the noise-induced oscillatory transitions in a predator-prey model of Leslie type with generalized Holling type III functional response is studied. The original deterministic model can exhibit different kinds of phase portraits (one, two or three stable states) for various parameter values. When the predator-prey model is subjected to environmental noise, we find that the stochastic trajectory started near one of the deterministic attractors may experience the oscillatory transitions between different zones. To reveal the probabilistic mechanisms of the noise-induced transitions, we construct the confidence domains of stochastic attractors by applying the technique of stochastic sensitivity functions. It is showed that increasing the noise intensity results in an intersection between different confidence domains, and then the phenomenon of oscillatory transitions can occur.

Keywords: Multi-stable predation system; Noise-induced oscillatory transitions; Stochastic sensitivity analysis; Confidence domains (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:137:y:2020:i:c:s096007792030271x

DOI: 10.1016/j.chaos.2020.109871

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