IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v156y2022ics0960077922000170.html
   My bibliography  Save this article

Species coexistence in spatial cyclic game of five species

Author

Listed:
  • Zhong, Linwu
  • Zhang, Liming
  • Li, Haihong
  • Dai, Qionglin
  • Yang, Junzhong

Abstract

The evolutionary game of cyclic competition has been extensively studied to gain insight into one of the most fundamental phenomena in nature: biodiversity. The three-species Rock-Paper-Scissors (RPS) game and its extension Rock-Paper-Scissors-Lizard-Spock (RPSLS) game are typical models in this field. However, in real ecosystems, species richness can be easily influenced by the interaction structure among species. In this paper, we investigate species coexistence in modified RPSLS games by removing certain predator-prey interactions. We find that the interaction structure impacts the evolutionary dynamics and different interaction structures allow for different states of multi-species coexistence. We also find that the competition between different three-species-cyclic interactions is crucial for the realization of different asymptotic behaviors at low mobility. Our findings may be useful to understand the subtle effects of competitive structure on species coexistence and evolutionary game outcomes.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:156:y:2022:i:c:s0960077922000170
    DOI: 10.1016/j.chaos.2022.111806
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922000170
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.111806?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. Park, Junpyo & Jang, Bongsoo, 2021. "Structural stability of coexistence in evolutionary dynamics of cyclic competition," Applied Mathematics and Computation, Elsevier, vol. 394(C).
    2. 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.
    3. Tobias Reichenbach & Mauro Mobilia & Erwin Frey, 2007. "Mobility promotes and jeopardizes biodiversity in rock–paper–scissors games," Nature, Nature, vol. 448(7157), pages 1046-1049, August.
    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. 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, 2022. "Effect of external migration on biodiversity in evolutionary dynamics of coupled cyclic competitions," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    3. Menezes, J. & Moura, B., 2022. "Pattern formation and coarsening dynamics in apparent competition models," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
    4. 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).
    5. Tenorio, M. & Rangel, E. & Menezes, J., 2022. "Adaptive movement strategy in rock-paper-scissors models," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    6. 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).
    7. Menezes, J. & Barbalho, R., 2023. "How multiple weak species jeopardise biodiversity in spatial rock–paper–scissors models," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    8. 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).
    9. 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).
    10. Verma, Tina & Gupta, Arvind Kumar, 2021. "Evolutionary dynamics of rock-paper-scissors game in the patchy network with mutations," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    11. 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).
    12. Zhang, Jing & Li, Zhao & Zhang, Jiqiang & Ma, Lin & Zheng, Guozhong & Chen, Li, 2023. "Emergence of oscillatory cooperation in a population with incomplete information," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 617(C).
    13. Zhang, Libin & Yao, Zijun & Wu, Bin, 2021. "Calculating biodiversity under stochastic evolutionary dynamics," Applied Mathematics and Computation, Elsevier, vol. 411(C).
    14. Zhang, Zeyu & Bearup, Daniel & Guo, Guanming & Zhang, Helin & Liao, Jinbao, 2022. "Competition modes determine ecosystem stability in rock–paper–scissors games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    15. Kayacan, O. & Middendorf, M., 2021. "Population dynamics for systems with cyclic predator–prey relations and pheromone dependent movement," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).
    16. Avelino, P.P. & de Oliveira, B.F. & Trintin, R.S., 2022. "Parity effects in rock-paper-scissors type models with a number of species NS≤12," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    17. Mugnaine, Michele & Gabrick, Enrique C. & Protachevicz, Paulo R. & Iarosz, Kelly C. & de Souza, Silvio L.T. & Almeida, Alexandre C.L. & Batista, Antonio M. & Caldas, Iberê L. & Szezech Jr, José D. & V, 2022. "Control attenuation and temporary immunity in a cellular automata SEIR epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    18. 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).
    19. Griffin, Christopher & Semonsen, Justin & Belmonte, Andrew, 2022. "Generalized Hamiltonian dynamics and chaos in evolutionary games on networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    20. Stiadle, Thomas I. & Bayliss, Alvin & Volpert, Vladimir A., 2023. "Cyclic Ecological Systems with an Exceptional Species," Applied Mathematics and Computation, Elsevier, vol. 443(C).

    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:156:y:2022:i:c:s0960077922000170. 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: 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.