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

作者：Zhang Daoxiang; Ping Yan^*

来源：Applied Mathematics and Computation, 2017, 295: 136-140.

DOI：10.1016/j.amc.2016.07.044

• Competitive Lotka-Volterra system
• Limit cycles
• Hopf bifurcation
• Bacteriocin
• Rock-scissors-paper game

In this paper we construct two limit cycles with a heteroclinic polycycle for the threedimensional 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.

• 出版日期2017-2-15
• 单位安徽师范大学