Effect of Contact Preference among Heterogeneous Individuals on Social Contagions

Figure 4

The change of phase transition. Dependence of on (p) and at in (a) and (b) and at in (c) and (d). The color-coded values of final spreading size in the parameter plane of (a) and (c) are from simulation results, (b) and (d) are from theoretical predictions. The theoretical predictions are the solutions of equations (12) and (22)–(24). The different phase transition regions are separated by the vertical lines which represent the critical contact probability of homogeneous individuals. Other parameters: ,  = 0.19,  = 5, ,  =  = 10, , ⟶0.

(a)

(b)

(c)

(d)