IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v443y2023ics0096300322008074.html

Cyclic Ecological Systems with an Exceptional Species

Author

Listed:
  • Stiadle, Thomas I.
  • Bayliss, Alvin
  • Volpert, Vladimir A.

Abstract

We consider cyclic ecological systems consisting of N species ui, i=1,…,N, where N=3 and N=4. We employ a model in which species ui competes only with members of its own species (intraspecies competition), with a strength normalized to unity, and with species ui+1, where i+1 is taken to mean (imodN)+1 (interspecies competition). The strength of the competition is quantified by an interaction coefficient αi>0.

Suggested Citation

  • Stiadle, Thomas I. & Bayliss, Alvin & Volpert, Vladimir A., 2023. "Cyclic Ecological Systems with an Exceptional Species," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    • Handle: RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008074
    DOI: 10.1016/j.amc.2022.127739
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300322008074
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2022.127739?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Benjamin C. Kirkup & Margaret A. Riley, 2004. "Antibiotic-mediated antagonism leads to a bacterial game of rock–paper–scissors in vivo," Nature, Nature, vol. 428(6981), pages 412-414, March.
    2. Marcelo de C Griebeler & Roberta Carnelos Resende, 2021. "A model of electoral alliances in highly fragmented party systems," Journal of Theoretical Politics, , vol. 33(1), pages 3-24, January.
    3. Benjamin Kerr & Margaret A. Riley & Marcus W. Feldman & Brendan J. M. Bohannan, 2002. "Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors," Nature, Nature, vol. 418(6894), pages 171-174, July.
    4. de Oliveira, Breno F. & Szolnoki, Attila, 2022. "Competition among alliances of different sizes," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Wang, Z. & Bayliss, A. & Volpert, V.A., 2024. "Competing alliances in a four-species cyclic ecosystem," Applied Mathematics and Computation, Elsevier, vol. 464(C).

    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. Menezes, J. & Moura, B., 2022. "Pattern formation and coarsening dynamics in apparent competition models," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    2. Yang, Ryoo Kyung & Park, Junpyo, 2023. "Evolutionary dynamics in the cyclic competition system of seven species: Common cascading dynamics in biodiversity," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Bazeia, D. & Bongestab, M. & de Oliveira, B.F. & Szolnoki, A., 2021. "Effects of a pestilent species on the stability of cyclically dominant species," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    4. Menezes, J. & Barbalho, R., 2023. "How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Park, Junpyo & Chen, Xiaojie & Szolnoki, Attila, 2023. "Competition of alliances in a cyclically dominant eight-species population," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    6. Mendes, Pedro B. & Boeger, Walter A., 2022. "Game dynamics as a driver for pathogen spillover pulses," Ecological Modelling, Elsevier, vol. 473(C).
    7. She, Wenhao & Zhang, Yali & Lu, Yikang & Wu, Haiying & Shi, Lei & Park, Junpyo, 2025. "The impact of higher-order dynamics with intraspecific competition in replicator dynamics on species stability," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    8. Bazeia, D. & Ferreira, M.J.B. & de Oliveira, B.F. & dos Santos, W.A., 2025. "Monitoring biodiversity on highly reactive rock-paper-scissors models," Applied Mathematics and Computation, Elsevier, vol. 502(C).
    9. Tenorio, M. & Rangel, E. & Menezes, J., 2022. "Adaptive movement strategy in rock-paper-scissors models," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    10. Erik Brockbank & Edward Vul, 2021. "Formalizing Opponent Modeling with the Rock, Paper, Scissors Game," Games, MDPI, vol. 12(3), pages 1-20, September.
    11. Bazeia, D. & Bongestab, M. & de Oliveira, B.F., 2022. "Influence of the neighborhood on cyclic models of biodiversity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 587(C).
    12. Menezes, J. & Barbalho, R. & Sun, Y., 2026. "Saltatory targeting strategy in rock–paper–scissors models," Chaos, Solitons & Fractals, Elsevier, vol. 202(P1).
    13. Wang, Z. & Bayliss, A. & Volpert, V.A., 2024. "Competing alliances in a four-species cyclic ecosystem," Applied Mathematics and Computation, Elsevier, vol. 464(C).
    14. Mollie Virgo & Hannah Painter & Songlin Xue & Harry-Luke O. McClelland & Serge Mostowy & Brian T. Ho, 2026. "Interspecies quorum sensing signals modulate multicellular organization and enhance contact-dependent antagonism in Vibrio cholerae," Nature Communications, Nature, vol. 17(1), pages 1-14, December.
    15. Han, Jia-Xu & Wang, Rui-Wu, 2023. "Complex interactions promote the frequency of cooperation in snowdrift game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 609(C).
    16. Dai, Hui & Wang, Xiaoyue & Lu, Yikang & Hou, Yunxiang & Shi, Lei, 2024. "The effect of intraspecific cooperation in a three-species cyclic predator-prey model," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    17. repec:plo:pbio00:2001457 is not listed on IDEAS
    18. repec:plo:pone00:0205202 is not listed on IDEAS
    19. Mohd, Mohd Hafiz & Park, Junpyo, 2021. "The interplay of rock-paper-scissors competition and environments mediates species coexistence and intriguing dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    20. Itoh, Yoshiaki, 2024. "Coalescence model of rock-paper-scissors particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 648(C).
    21. Zhong, Linwu & Zhang, Liming & Li, Haihong & Dai, Qionglin & Yang, Junzhong, 2022. "Species coexistence in spatial cyclic game of five species," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    22. Lu, Yikang & She, Wenhao & Yang, Ryoo Kyung & Jin, Jie & Yang, Yuanni & Park, Junpyo, 2026. "Moderate intervention paradox in threshold-intensity regulated rock–paper–scissors competition systems," Chaos, Solitons & Fractals, Elsevier, vol. 205(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:eee:apmaco:v:443:y:2023:i:c:s0096300322008074. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.