Effect of Contact Preference among Heterogeneous Individuals on Social Contagions

Figure 3

The change of spreading size (R) (∞) with the increase of . The red circle represents the proportion (R) (∞) of the adoption size of individuals, the blue square represents the proportion of the adoption size of type-A individuals, and the green triangle represents the proportion of the adoption size of type-B individuals. (a–d) when , , and , the adoption size changes with the increase of . (e–f) when , , the adoption size changes with the increase of . Symbols represent simulation results and curves represent theoretical numerical results, which are calculated by equations (10), (11), (22), and (23). The insets show the changes of the proportion of adopted individuals affected only by type-A individuals (blue point) and only by type-B individuals (green point) and the proportion of adopted individuals affected by the two types of individuals together (red point). The vertical black lines represent , the vertical orange lines represent , and the vertical purple lines represent . Other parameters: ,  = 0.19,  = 5, ,  =   = 10, , ⟶0.

(a)

(b)

(c)

(d)

(e)

(f)