Effect of Contact Preference among Heterogeneous Individuals on Social Contagions

Figure 1

The change of the roots (, ) of equation (27) at . The red and blue points are the roots of equation (27). The red points are physically relevant roots and the blue points are other roots. In the case of , the change of the roots of equation (27) at (a)  = 0.1443, and the inset of (a)  = 0.5, (b)  = 0.745, and the inset of (c)  = 0.78, (d)  = 0.8, and the inset of (d)  = 0.82. In the case of , the change of the roots of equation (27) at (e)  = 0.1439, and the inset of (e)  = 0.4, (f)  = 0.7. (b) It shows the change of the roots of at ; the inset of (b) shows the change of the roots of at , where the intersections of curves and horizontal line are the roots. Other parameters: , ,  =  = 10, , .

(a)

(b)

(c)

(d)

(e)

(f)