Additional file 1: of Behavioral heterogeneity in quorum sensing can stabilize social cooperation in microbial populations

Figure S1. The gradient of selection in dependence on the fraction of cooperators for different exclusion probabilities in infinite populations. Stable equilibria are described by solid circles, while unstable equilibria are described by open circles. Arrows indicate the expected direction of evolution. Cooperation is more favored by natural selection when the arrow points to the right. (A) When the exclusion probability is significantly small, full defection is the only stable equilibrium in the population. (B) With a larger exclusion probability, a coordination game with full cooperation and full defection as the two stable equilibria appears. (C) When the exclusion probability is further increased, full cooperation is the only stable equilibrium. The values of exclusion probability are (A) p = 0.1; (B) p = 0.6; (C) p = 0.8. Other parameters: N = 5, r = 3, c = 0.3, and δ = 0.3. (PDF 262 kb