Effects of interaction strength on the stability of the dynamic network with different interaction matrix (PA ∈ (0, 1)) Figure 4 shows the evolutionary dynamics with interaction matrix as [0 1; 1 0], k=4, and initial populations of type A and C cells are set as 9900 and 100 in a total population of 10000, respectively. The intensity of selection ω equals to 0.01. Variable ṖA is negative when the initial status of PA stays in the region between the marked root (red square) and 1 in the left part of the figure(Left). When PA goes to the marked root, ṖA reaches 0. Accordingly, the population of type A cells decreases in the interval of [root, 1] until PA goes to the root denoted at 0.5 in the simulation. The simulation results shown in the right part of the figure (Right) demonstrate that the population of type A cells approached 5000 within 1000 generations.
Wang et al. BMC Systems Biology 2010 4(Suppl 1):S5 doi:10.1186/1752-0509-4-S1-S5