IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v108y2018icp166-181.html
   My bibliography  Save this article

Impact of colored cross-correlated non-Gaussian and Gaussian noises on stochastic resonance and stochastic stability for a metapopulation system driven by a multiplicative signal

Author

Listed:
  • Wang, Kang-Kang
  • Ju, Lin
  • Wang, Ya-Jun
  • Li, Sheng-Hong

Abstract

In this paper, our aim is to investigate the steady state characteristics and the signal-to-noise ratio (SNR) for a stochastic metapopulation system including a multiplicative periodic signal caused by the terms of the colored cross-correlated multiplicative non-Gaussian noise and additive Gaussian noise. Numerical results indicate that the multiplicative noise, the additive one and the departure parameter from the Gaussian noise can all decrease the stability of the ecological population system and restrain the development of the metapopulation, while two noise correlation times and the strength of the noise correlation will enhance the stability of the biological system and promote the expansion of the population system. With regard to the stochastic resonance phenomenon (SR) induced by noise terms and a multiplicative weak periodic signal, the results illustrate that the noise correlation time τ and the strength of correlation noise λ can increase the SR effect greatly in most cases, while the intensity of the multiplicative noise Q mainly plays a part in suppressing the SR and weakening the SNR except that in the SNR-τ plot. Moreover, it is worth noting that the noise correlation time τ0 and the additive noise intensity M can play the diverse roles in enhancing or weakening the SR effect under the different system parameter conditions.

Suggested Citation

  • Wang, Kang-Kang & Ju, Lin & Wang, Ya-Jun & Li, Sheng-Hong, 2018. "Impact of colored cross-correlated non-Gaussian and Gaussian noises on stochastic resonance and stochastic stability for a metapopulation system driven by a multiplicative signal," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 166-181.
    • Handle: RePEc:eee:chsofr:v:108:y:2018:i:c:p:166-181
    DOI: 10.1016/j.chaos.2018.02.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918300511
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.02.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Fang, Yuwen & Luo, Yuhui & Ma, Zhiqing & Zeng, Chunhua, 2021. "Transport and diffusion in the Schweitzer–Ebeling–Tilch model driven by cross-correlated noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 564(C).
    2. Zhang, Wenyue & Shi, Peiming & Li, Mengdi & Han, Dongying, 2021. "A novel stochastic resonance model based on bistable stochastic pooling network and its application," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    3. D’Onofrio, Giuseppe & Lansky, Petr & Tamborrino, Massimiliano, 2019. "Inhibition enhances the coherence in the Jacobi neuronal model," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 108-113.
    4. Yuanlin Ma & Xingwang Yu, 2022. "Stationary Probability Density Analysis for the Randomly Forced Phytoplankton–Zooplankton Model with Correlated Colored Noises," Mathematics, MDPI, vol. 10(14), pages 1-11, July.
    5. Liu, Jian & Qiao, Zijian & Ding, Xiaojian & Hu, Bing & Zang, Chuanlai, 2021. "Stochastic resonance induced weak signal enhancement over controllable potential-well asymmetry," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    6. Zhang, Hongxia & Han, Ping & Guo, Qin, 2023. "Stability and jumping dynamics of a stochastic vegetation ecosystem induced by threshold policy control," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    7. Shi, Peiming & Zhang, Wenyue & Han, Dongying & Li, Mengdi, 2019. "Stochastic resonance in a high-order time-delayed feedback tristable dynamic system and its application," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 155-166.
    8. Yu, Xingwang & Ma, Yuanlin, 2022. "Steady-state analysis of the stochastic Beverton-Holt growth model driven by correlated colored noises," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    9. Li, Mengdi & Shi, Peiming & Zhang, Wenyue & Han, Dongying, 2021. "A novel underdamped continuous unsaturation bistable stochastic resonance method and its application," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    10. Zhang, Hongxia & Xu, Wei & Guo, Qin & Han, Ping & Qiao, Yan, 2020. "First escape probability and mean first exit time for a time-delayed ecosystem driven by non-Gaussian colored noise," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    11. Li, Mengdi & Shi, Peiming & Zhang, Wenyue & Han, Dongying, 2020. "Study on the optimal stochastic resonance of different bistable potential models based on output saturation characteristic and application," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    12. Liu, Jian & Cao, Jie & Wang, Youguo & Hu, Bing, 2019. "Asymmetric stochastic resonance in a bistable system driven by non-Gaussian colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 321-336.
    13. Bi, Haohao & Lei, Youming & Han, Yanyan, 2019. "Stochastic resonance across bifurcations in an asymmetric system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1296-1312.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:108:y:2018:i:c:p:166-181. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.