Figure 2
Results of population dynamics at rate \(a=b=c=1\). (a) Metapopulation model for homogeneous graph in Fig. 1(a). The densities of three species (R, S, P) in node 1 are plotted against time t. The initial values are \({\rho }_{\alpha i}(0)=0.1\) for species α in node i (α = R, S, P and \(i=1,2,3\)), but the rock density in node 3 is only set as \({\rho }_{R,3}(0)=0.2\). Black, red and green curves indicate the densities of rock, scissors, and paper in node 1, respectively. (b) A single habitat case without migration. By the use of equation (2), the mean-field dynamics are displayed with initial values \({\rho }_{R}(0)={\rho }_{P}(0)=0.4\) and \({\rho }_{S}(0)=0.2\).
