IDEAS home Printed from https://ideas.repec.org/a/spr/eurphb/v94y2021i11d10.1140_epjb_s10051-021-00219-3.html
   My bibliography  Save this article

Impact of time delays and environmental noise on the extinction of a population dynamics model

Author

Listed:
  • Chun Zhang

    (Shaanxi Normal University)

  • Tao Yang

    (Northwestern Polytechnical University)

  • Shi-Xian Qu

    (Shaanxi Normal University)

Abstract

In this paper, we examine a population model with carrying capacity, time delay, and sources of additive and multiplicative environmental noise. We find that time delay, noise sources and their correlation induce regime shifts and transitions between the population survival state and the extinction state. To explore the transition mechanism between these two states, we analyzed the shift time to extinction, or the delayed extinction time, of populations. The main finding is that the extinction transition time as a function of the noise intensity shows a maximum, indicating the existence of an appropriate noise intensity leading to a maximal delayed extinction. This nonmonotonic behavior, with a maximum, is a signature of the noise-enhanced stability phenomenon, observed in many physical and complex metastable systems. In particular, this maximum increases (or decreases) as the cross-correlation intensity or the delay time in the death process increases. Furthermore, the signal-to-noise ratio as a function of noise intensity shows a maximum, which is a signature of the stochastic resonance phenomenon in the population dynamics model investigated in the presence of time delay and environmental noise. Graphic abstract

Suggested Citation

  • Chun Zhang & Tao Yang & Shi-Xian Qu, 2021. "Impact of time delays and environmental noise on the extinction of a population dynamics model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 94(11), pages 1-16, November.
  • Handle: RePEc:spr:eurphb:v:94:y:2021:i:11:d:10.1140_epjb_s10051-021-00219-3
    DOI: 10.1140/epjb/s10051-021-00219-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1140/epjb/s10051-021-00219-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1140/epjb/s10051-021-00219-3?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.

    References listed on IDEAS

    as
    1. Davide Valenti & Giorgio Fazio & Bernardo Spagnolo, 2017. "The stabilizing effect of volatility in financial markets," Papers 1708.08695, arXiv.org.
    2. B. Spagnolo & A. Dubkov & N. Agudov, 2004. "Enhancement of stability in randomly switching potential with metastable state," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 40(3), pages 273-281, August.
    3. Deng, Fangyu & Luo, Yuhui & Fang, Yuwen & Yang, Fengzao & Zeng, Chunhua, 2021. "Temperature and friction-induced tunable current reversal, anomalous mobility and diffusions," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. Fiasconaro, A & Valenti, D & Spagnolo, B, 2003. "Role of the initial conditions on the enhancement of the escape time in static and fluctuating potentials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 136-143.
    5. Zhang, Chun & Du, Liping & Wang, Tonghuan & Yang, Tao & Zeng, Chunhua & Wang, Canjun, 2017. "Impact of time delay in a stochastic gene regulation network," Chaos, Solitons & Fractals, Elsevier, vol. 96(C), pages 120-129.
    6. Valenti, D. & Fiasconaro, A. & Spagnolo, B., 2004. "Stochastic resonance and noise delayed extinction in a model of two competing species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(3), pages 477-486.
    7. Ghirlanda, Stefano & Enquist, Magnus & Perc, Matjaž, 2010. "Sustainability of culture-driven population dynamics," Theoretical Population Biology, Elsevier, vol. 77(3), pages 181-188.
    8. Spagnolo, B. & La Barbera, A., 2002. "Role of the noise on the transient dynamics of an ecosystem of interacting species," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 315(1), pages 114-124.
    9. A. Fiasconaro & A. Ochab-Marcinek & B. Spagnolo & E. Gudowska-Nowak, 2008. "Monitoring noise-resonant effects in cancer growth influenced by external fluctuations and periodic treatment," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 65(3), pages 435-442, October.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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).
    2. Wu, Jian-Li & Duan, Wei-Long & Luo, Yuhui & Yang, Fengzao, 2020. "Time delay and non-Gaussian noise-enhanced stability of foraging colony system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    3. Duan, Wei-Long & Lin, Ling, 2021. "Noise and delay enhanced stability in tumor-immune responses to chemotherapy system," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    4. Spagnolo, B. & Valenti, D. & Guarcello, C. & Carollo, A. & Persano Adorno, D. & Spezia, S. & Pizzolato, N. & Di Paola, B., 2015. "Noise-induced effects in nonlinear relaxation of condensed matter systems," Chaos, Solitons & Fractals, Elsevier, vol. 81(PB), pages 412-424.
    5. Chen, Ruyin & Xiong, Yue & Jiang, Luoluo & He, Zhifen & Zhou, Jiawei, 2021. "Binocular rivalry subjected to noises and time delay," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    6. Agudov, N.V. & Dubkov, A.A. & Safonov, A.V. & Krichigin, A.V. & Kharcheva, A.A. & Guseinov, D.V. & Koryazhkina, M.N. & Novikov, A.S. & Shishmakova, V.A. & Antonov, I.N. & Carollo, A. & Spagnolo, B., 2021. "Stochastic model of memristor based on the length of conductive region," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    7. Song, Yi & Xu, Wei, 2021. "Asymmetric Lévy noise changed stability in a gene transcriptional regulatory system," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    8. 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).
    9. Li, Jiangcheng & Zhang, Chunmin & Liu, Jifa & Li, Zhen & Yang, Xuan, 2018. "An application of Mean Escape Time and metapopulation on forestry catastrophe insurance," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 495(C), pages 312-323.
    10. Yablokov, A.A. & Glushkov, E.I. & Pankratov, A.L. & Gordeeva, A.V. & Kuzmin, L.S. & Il’ichev, E.V., 2021. "Resonant response drives sensitivity of Josephson escape detector," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).
    11. Valenti, D. & Tranchina, L. & Brai, M. & Caruso, A. & Cosentino, C. & Spagnolo, B., 2008. "Environmental metal pollution considered as noise: Effects on the spatial distribution of benthic foraminifera in two coastal marine areas of Sicily (Southern Italy)," Ecological Modelling, Elsevier, vol. 213(3), pages 449-462.
    12. Revin, L.S. & Pankratov, A.L., 2021. "Detection of bias inhomogeneity in Josephson junctions by switching current distributions," Chaos, Solitons & Fractals, Elsevier, vol. 149(C).
    13. Wang, Yi & Cao, Jinde & Sun, Gui-Quan & Li, Jing, 2014. "Effect of time delay on pattern dynamics in a spatial epidemic model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 412(C), pages 137-148.
    14. Li, Jiang-Cheng & Tao, Chen & Li, Hai-Feng, 2022. "Dynamic forecasting performance and liquidity evaluation of financial market by Econophysics and Bayesian methods," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    15. Park, Jinwoo & Kim, Tae-Hyeon & Kim, Sungjoon & Lee, Geun Ho & Nili, Hussein & Kim, Hyungjin, 2021. "Conduction mechanism effect on physical unclonable function using Al2O3/TiOX memristors," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    16. Akgül, Akif & Rajagopal, Karthikeyan & Durdu, Ali & Pala, Muhammed Ali & Boyraz, Ömer Faruk & Yildiz, Mustafa Zahid, 2021. "A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    17. Rao, Feng & Luo, Junling, 2021. "Stochastic effects on an HIV/AIDS infection model with incomplete diagnosis," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    18. Rao, Feng & Wang, Weiming & Li, Zhenqing, 2009. "Spatiotemporal complexity of a predator–prey system with the effect of noise and external forcing," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1634-1644.
    19. Kim, Tae-Hyeon & Kim, Sungjoon & Hong, Kyungho & Park, Jinwoo & Hwang, Yeongjin & Park, Byung-Gook & Kim, Hyungjin, 2021. "Multilevel switching memristor by compliance current adjustment for off-chip training of neuromorphic system," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
    20. Mokem Fokou, I.S. & Nono Dueyou Buckjohn, C. & Siewe Siewe, M. & Tchawoua, C., 2016. "Probabilistic behavior analysis of a sandwiched buckled beam under Gaussian white noise with energy harvesting perspectives," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 101-114.

    More about this item

    Statistics

    Access and download statistics

    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:spr:eurphb:v:94:y:2021:i:11:d:10.1140_epjb_s10051-021-00219-3. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.