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Two competing species in super-diffusive dynamical regimes

Author

Listed:
  • A. La Cognata
  • D. Valenti
  • B. Spagnolo
  • A. A. Dubkov

Abstract

The dynamics of two competing species within the framework of the generalized Lotka-Volterra equations, in the presence of multiplicative α-stable Lévy noise sources and a random time dependent interaction parameter, is studied. The species dynamics is characterized by two different dynamical regimes, exclusion of one species and coexistence of both, depending on the values of the interaction parameter, which obeys a Langevin equation with a periodically fluctuating bistable potential and an additive α-stable Lévy noise. The stochastic resonance phenomenon is analyzed for noise sources asymmetrically distributed. Finally, the effects of statistical dependence between multiplicative noise and additive noise on the dynamics of the two species are studied. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Suggested Citation

  • A. La Cognata & D. Valenti & B. Spagnolo & A. A. Dubkov, 2010. "Two competing species in super-diffusive dynamical regimes," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 77(2), pages 273-279, September.
    • Handle: RePEc:spr:eurphb:v:77:y:2010:i:2:p:273-279
    DOI: 10.1140/epjb/e2010-00239-6
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    Cited by:

    1. Zhao, Yu & Yuan, Sanling, 2016. "Stability in distribution of a stochastic hybrid competitive Lotka–Volterra model with Lévy jumps," Chaos, Solitons & Fractals, Elsevier, vol. 85(C), pages 98-109.
    2. Yu, Xingwang & Ma, Yuanlin, 2023. "Noise-induced bistability and noise-enhanced stability of a stochastic model for resource production–consumption under crowding effect and sigmoidal consumption pattern," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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