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Four Limit Cycles for a Rock-Scissor-Paper Game Between Bacteriocin Producing Bacteria

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Abstract

In this paper, four limit cycles are constructed for a concrete 3D model of rock-scissor-paper (RSP) game between bacteriocin producing bacteria. This gives not only an affirmative answer to the conjecture of the existence of three limit cycles raised by Zhang and Yan (2017), but also extends to an construction of four limit cycles.

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Authors and Affiliations

  1. School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610068, China

    Sibi Ma, Mingzhi Hu & Zhengyi Lu

Authors
  1. Sibi Ma
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  2. Mingzhi Hu
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  3. Zhengyi Lu
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Corresponding author

Correspondence to Zhengyi Lu.

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The authors declare no conflict of interest.

Additional information

This work was supported by the Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No. 20115134110001.

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Ma, S., Hu, M. & Lu, Z. Four Limit Cycles for a Rock-Scissor-Paper Game Between Bacteriocin Producing Bacteria. J Syst Sci Complex 36, 2225–2233 (2023). https://doi.org/10.1007/s11424-023-2073-4

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  • DOI: https://doi.org/10.1007/s11424-023-2073-4

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