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Cyclic Ecological Systems with an Exceptional Species

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  • 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
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    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. 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. 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.
    4. de Oliveira, Breno F. & Szolnoki, Attila, 2022. "Competition among alliances of different sizes," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
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    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).

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