Multiple limit cycles for the continuous model of the rock–scissors–paper game between bacteriocin producing bacteria

Zhang Daoxiang and Ping Yan

Applied Mathematics and Computation, 2017, vol. 295, issue C, 136-140

Abstract: In this paper we construct two limit cycles with a heteroclinic polycycle for the three-dimensional continuous model of the rock–scissors–paper (RSP) game between bacteriocin producing bacteria. Our construction gives a partial answer to an open question posed by Neumann and Schuster (2007) concerning how many limit cycles can coexist for the RSP game.

Keywords: Competitive Lotka–Volterra system; Limit cycles; Hopf bifurcation; Bacteriocin; Rock–scissors–paper game (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:295:y:2017:i:c:p:136-140

DOI: 10.1016/j.amc.2016.07.044

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