IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v394y2021ics0096300320307475.html
   My bibliography  Save this article

Structural stability of coexistence in evolutionary dynamics of cyclic competition

Author

Listed:
  • Park, Junpyo
  • Jang, Bongsoo

Abstract

One of the common assumptions in previous spatial dynamics of cyclic competition is that, regardless of competing structure and strength among species, the spatial size of a network is considered as large as possible to avoid finite size effect for species biodiversity. In real ecosystems, however, species richness, which can be defined by spatial size and competition strength, can sensitively affect species coexistence as a competition among individuals becomes complicated. In this paper, we investigate the structural stability of coexistence of mobile species in three cyclic competition games due to network complexity in which imposes a size of a square lattice and competition strength among species. By exploiting the coexistence probability, our computations quantitatively reveal that the network complexity due to changes in the competition rate and lattice size can strongly affect the structural stability of coexistence in each model. In particular, intense intraspecific competition can yield the robust coexistence at small-sized lattices regardless of mobility, and strengthening interspecific competition simultaneously induces changes in critical mobility that hampers coexistence and in spatial size for stable coexistence. Qualitatively, we find that such structural stability of coexistence relates to the degree of stability of fixed points in deterministic systems. Our finding can be useful to gain insights into species coexistence on spatially extended systems with respect to network complexity.

Suggested Citation

  • Park, Junpyo & Jang, Bongsoo, 2021. "Structural stability of coexistence in evolutionary dynamics of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    • Handle: RePEc:eee:apmaco:v:394:y:2021:i:c:s0096300320307475
    DOI: 10.1016/j.amc.2020.125794
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300320307475
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2020.125794?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. Feng, Sha-Sha & Qiang, Cheng-Cang, 2013. "Self-organization of five species in a cyclic competition game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4675-4682.
    2. Kang, Yibin & Pan, Qiuhui & Wang, Xueting & He, Mingfeng, 2013. "A golden point rule in rock–paper–scissors–lizard–spock game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(11), pages 2652-2659.
    3. Stefano Allesina & Si Tang, 2012. "Stability criteria for complex ecosystems," Nature, Nature, vol. 483(7388), pages 205-208, March.
    4. Park, Junpyo, 2018. "Balancedness among competitions for biodiversity in the cyclic structured three species system," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 425-436.
    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. 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).
    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. Park, Junpyo, 2022. "Effect of external migration on biodiversity in evolutionary dynamics of coupled cyclic competitions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    4. Park, Junpyo & Jang, Bongsoo, 2023. "Role of adaptive intraspecific competition on collective behavior in the rock–paper–scissors game," Chaos, Solitons & Fractals, Elsevier, vol. 171(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. 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).
    2. Park, Junpyo, 2018. "Balancedness among competitions for biodiversity in the cyclic structured three species system," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 425-436.
    3. Park, Junpyo & Jang, Bongsoo, 2023. "Role of adaptive intraspecific competition on collective behavior in the rock–paper–scissors game," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    4. Martin, Adrian P. & Dominguez, Angela Bahamondes & Baker, Chelsey A. & Baumas, Chloé M.J. & Bisson, Kelsey M. & Cavan, Emma & Freilich, Mara & Galbraith, Eric & Galí, Martí & Henson, Stephanie & Kvale, 2024. "When to add a new process to a model – and when not: A marine biogeochemical perspective," Ecological Modelling, Elsevier, vol. 498(C).
    5. Clenet, Maxime & El Ferchichi, Hafedh & Najim, Jamal, 2022. "Equilibrium in a large Lotka–Volterra system with pairwise correlated interactions," Stochastic Processes and their Applications, Elsevier, vol. 153(C), pages 423-444.
    6. Li, Fei & Kang, Hao & Xu, Jingfeng, 2022. "Financial stability and network complexity: A random matrix approach," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 177-185.
    7. Bastazini, Vinicius Augusto Galvão & Debastiani, Vanderlei & Cappelatti, Laura & Guimarães, Paulo & Pillar, Valério D., 2022. "The role of evolutionary modes for trait-based cascades in mutualistic networks," Ecological Modelling, Elsevier, vol. 470(C).
    8. Huang, Wenting & Duan, Xiaofang & Qin, Lijuan & Park, Junpyo, 2023. "Fitness-based mobility enhances the maintenance of biodiversity in the spatial system of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    9. Han, Xiaozhuo & Chen, Baoying & Hui, Cang, 2016. "Symmetry breaking in cyclic competition by niche construction," Applied Mathematics and Computation, Elsevier, vol. 284(C), pages 66-78.
    10. 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).
    11. Chen, Weidong & Xiong, Shi & Chen, Quanyu, 2022. "Characterizing the dynamic evolutionary behavior of multivariate price movement fluctuation in the carbon-fuel energy markets system from complex network perspective," Energy, Elsevier, vol. 239(PA).
    12. Cropp, Roger & Norbury, John, 2018. "Linking obligate mutualism models in an extended consumer-resource framework," Ecological Modelling, Elsevier, vol. 374(C), pages 1-13.
    13. Lischke, Heike & Löffler, Thomas J., 2017. "Finding all multiple stable fixpoints of n-species Lotka–Volterra competition models," Theoretical Population Biology, Elsevier, vol. 115(C), pages 24-34.
    14. Pierre-Alexandre Balland & David L. Rigby, 2015. "The geography and evolution of complex knowledge," Papers in Evolutionary Economic Geography (PEEG) 1502, Utrecht University, Department of Human Geography and Spatial Planning, Group Economic Geography, revised Jan 2015.
    15. Torres-Alruiz, Maria Daniela & Rodríguez, Diego J., 2013. "A topo-dynamical perspective to evaluate indirect interactions in trophic webs: New indexes," Ecological Modelling, Elsevier, vol. 250(C), pages 363-369.
    16. Qinghua Zhao & Paul J. Brink & Chi Xu & Shaopeng Wang & Adam T. Clark & Canan Karakoç & George Sugihara & Claire E. Widdicombe & Angus Atkinson & Shin-ichiro S. Matsuzaki & Ryuichiro Shinohara & Shuiq, 2023. "Relationships of temperature and biodiversity with stability of natural aquatic food webs," Nature Communications, Nature, vol. 14(1), pages 1-11, December.
    17. Yan, Chuan & Zhang, Zhibin, 2018. "Dome-shaped transition between positive and negative interactions maintains higher persistence and biomass in more complex ecological networks," Ecological Modelling, Elsevier, vol. 370(C), pages 14-21.
    18. Athanasios Lapatinas & Marina-Selini Katsaiti, 2023. "EU MECI: A Network-Structured Indicator for a Union of Equality," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 166(2), pages 465-483, April.
    19. Deborah Lacitignola & Fasma Diele & Carmela Marangi & Angela Monti & Teresa Serini & Simonetta Vernocchi, 2023. "Effects of Vitamin D Supplementation and Degradation on the Innate Immune System Response: Insights on SARS-CoV-2," Mathematics, MDPI, vol. 11(17), pages 1-19, August.
    20. Mika J. Straka & Guido Caldarelli & Tiziano Squartini & Fabio Saracco, 2017. "From Ecology to Finance (and Back?): Recent Advancements in the Analysis of Bipartite Networks," Papers 1710.10143, arXiv.org.

    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:394:y:2021:i:c:s0096300320307475. 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.