IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v320y2018icp425-436.html
   My bibliography  Save this article

Balancedness among competitions for biodiversity in the cyclic structured three species system

Author

Listed:
  • Park, Junpyo

Abstract

Balancedness among species interactions may be an important key to understand species biodiversity. Biodiversity among species is usually promoted by competitions which can occur between two different species or among the same species. In this paper, we investigate how symmetry breaking of interspecific competitions can affect biodiversity on cyclic structured three species which may compete with themselves. From theoretical and numerical results of the deterministic system, we found that the symmetry breaking of interspecific competitions on the self-competitive species system can lead the emergence of new survival states in which are stable. Further, we figured out that these diverse survival states can be influenced by the moderate balance between interspecific and intraspecific competitions which is uncovered numerically.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:320:y:2018:i:c:p:425-436
    DOI: 10.1016/j.amc.2017.09.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300317306756
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2017.09.047?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. 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.
    2. Ryan Calsbeek & Robert M. Cox, 2010. "Experimentally assessing the relative importance of predation and competition as agents of selection," Nature, Nature, vol. 465(7298), pages 613-616, June.
    3. Peter Chesson & Jessica J. Kuang, 2008. "The interaction between predation and competition," Nature, Nature, vol. 456(7219), pages 235-238, November.
    4. 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.
    5. 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.
    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. Park, Junpyo & Jang, Bongsoo, 2021. "Structural stability of coexistence in evolutionary dynamics of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. Park, Junpyo, 2018. "Multistability of extinction states in the toy model for three species," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 92-98.
    3. 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).
    4. 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).
    5. Park, Junpyo, 2022. "Effect of external migration on biodiversity in evolutionary dynamics of coupled cyclic competitions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    6. Hódsági, Kristóf & Szabó, György, 2019. "Bursts in three-strategy evolutionary ordinal potential games on a square lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1379-1387.
    7. Park, Junpyo, 2021. "Evolutionary dynamics in the rock-paper-scissors system by changing community paradigm with population flow," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    8. de Oliveira, Breno F. & Szolnoki, Attila, 2022. "Competition among alliances of different sizes," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    9. 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).

    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. Kabir, K.M. Ariful & Tanimoto, Jun, 2021. "The role of pairwise nonlinear evolutionary dynamics in the rock–paper–scissors game with noise," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    3. Park, Junpyo & Jang, Bongsoo, 2021. "Structural stability of coexistence in evolutionary dynamics of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 394(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).
    5. Rousselière, Damien & Joly, Iragäel, 2011. "A propos de la capacité à survivre des coopératives : une étude de la relation entre âge et mortalité des organisations coopératives agricoles françaises," Review of Agricultural and Environmental Studies - Revue d'Etudes en Agriculture et Environnement (RAEStud), Institut National de la Recherche Agronomique (INRA), vol. 92(3).
    6. Yılmaz, Zeynep & Maden, Selahattin & Gökçe, Aytül, 2022. "Dynamics and stability of two predators–one prey mathematical model with fading memory in one predator," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 202(C), pages 526-539.
    7. 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.
    8. Stump, Simon Maccracken & Chesson, Peter, 2015. "Distance-responsive predation is not necessary for the Janzen–Connell hypothesis," Theoretical Population Biology, Elsevier, vol. 106(C), pages 60-70.
    9. 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).
    10. Chesson, Peter & Kuang, Jessica J., 2010. "The storage effect due to frequency-dependent predation in multispecies plant communities," Theoretical Population Biology, Elsevier, vol. 78(2), pages 148-164.
    11. Ammunét, Tea & Klemola, Tero & Parvinen, Kalle, 2014. "Consequences of asymmetric competition between resident and invasive defoliators: A novel empirically based modelling approach," Theoretical Population Biology, Elsevier, vol. 92(C), pages 107-117.
    12. Hartvig, Martin & Andersen, Ken Haste, 2013. "Coexistence of structured populations with size-based prey selection," Theoretical Population Biology, Elsevier, vol. 89(C), pages 24-33.
    13. Israel Pagán & Carlos Alonso-Blanco & Fernando García-Arenal, 2009. "Differential Tolerance to Direct and Indirect Density-Dependent Costs of Viral Infection in Arabidopsis thaliana," PLOS Pathogens, Public Library of Science, vol. 5(7), pages 1-10, July.
    14. Masuda, Yoshio & Yamanaka, Yasuhiro & Hirata, Takafumi & Nakano, Hideyuki & Kohyama, Takashi S., 2020. "Inhibition of competitive exclusion due to phytoplankton dispersion: a contribution for solving Hutchinson's paradox," Ecological Modelling, Elsevier, vol. 430(C).
    15. Malard, Julien & Adamowski, Jan & Nassar, Jessica Bou & Anandaraja, Nallusamy & Tuy, Héctor & Melgar-Quiñonez, Hugo, 2020. "Modelling predation: Theoretical criteria and empirical evaluation of functional form equations for predator-prey systems," Ecological Modelling, Elsevier, vol. 437(C).
    16. Charles K Fisher & Pankaj Mehta, 2014. "Identifying Keystone Species in the Human Gut Microbiome from Metagenomic Timeseries Using Sparse Linear Regression," PLOS ONE, Public Library of Science, vol. 9(7), pages 1-10, July.
    17. Kelly, Colleen K. & Bowler, Michael G., 2009. "Investigating the role of enemies in temporal dynamics: Differential sensitivity, competition and stable coexistence," Theoretical Population Biology, Elsevier, vol. 76(4), pages 278-284.
    18. Kuang, Jessica J. & Chesson, Peter, 2010. "Interacting coexistence mechanisms in annual plant communities: Frequency-dependent predation and the storage effect," Theoretical Population Biology, Elsevier, vol. 77(1), pages 56-70.
    19. Park, Junpyo, 2021. "Evolutionary dynamics in the rock-paper-scissors system by changing community paradigm with population flow," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    20. Park, Junpyo, 2018. "Multistability of extinction states in the toy model for three species," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 92-98.

    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:320:y:2018:i:c:p:425-436. 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.