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Combined action of time-delay and colored cross-associated multiplicative and additive noises on stability and stochastic resonance for a stochastic metapopulation system

Author

Listed:
  • Kang-Kang Wang

    (School of Mathematics and Physics, Jiangsu University of Science and Technology)

  • De-Cai Zong

    (College of Computer Science and Engineering, Changshu Institute of Technology)

  • Ya-Jun Wang

    (School of Mathematics and Physics, Jiangsu University of Science and Technology)

  • Sheng-Hong Li

    (College of Mathematics, Nanjing Normal University)

Abstract

In this paper, the transition between the stable state of a big density and the extinction state and stochastic resonance (SR) for a time-delayed metapopulation system disturbed by colored cross-correlated noises are investigated. By applying the fast descent method, the small time-delay approximation and McNamara and Wiesenfeld’s SR theory, we investigate the impacts of time-delay, the multiplicative, additive noises and colored cross-correlated noise on the SNR and the shift between the two states of the system. Numerical results show that the multiplicative, additive noises and time-delay can all speed up the transition from the stable state to the extinction state, while the correlation noise and its correlation time can slow down the extinction process of the population system. With respect to SNR, the multiplicative noise always weakens the SR effect, while noise correlation time plays a dual role in motivating the SR phenomenon. Meanwhile, time-delay mainly plays a negative role in stimulating the SR phenomenon. Conversely, it could motivate the SR effect to increase the strength of the cross-correlation noise in the SNR-β plot, while the increase of additive noise intensity will firstly excite SR, and then suppress the SR effect.

Suggested Citation

  • Kang-Kang Wang & De-Cai Zong & Ya-Jun Wang & Sheng-Hong Li, 2016. "Combined action of time-delay and colored cross-associated multiplicative and additive noises on stability and stochastic resonance for a stochastic metapopulation system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 89(5), pages 1-12, May.
    • Handle: RePEc:spr:eurphb:v:89:y:2016:i:5:d:10.1140_epjb_e2016-60959-y
    DOI: 10.1140/epjb/e2016-60959-y
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    Cited by:

    1. Mei, Ruoxing & Xu, Yong & Li, Yongge & Kurths, Jürgen, 2020. "The steady current analysis in a periodic channel driven by correlated noises," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    2. Pan, Yan & Ren, Yuhao & Duan, Fabing, 2018. "Noise benefits to robust M-estimation of location in dependent observations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 144-152.

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    Keywords

    Statistical and Nonlinear Physics;

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