The Bass Diffusion Model on Finite Barabasi-Albert Networks

Figure 9

Time of the diffusion peak (in years) for the “trickle-down” modified Bass model on different kinds of scale-free networks with exponent , as a function of the imitation coefficient . All networks have maximum degree . The coefficient varies in the range , corresponding to a typical set of realistic values in innovation diffusion theory [20]. The publicity coefficient of the link class , with , varies in inverse proportion to (Section 6). The low-lying group of lines corresponds to BA networks with and the same assortativity coefficients as in Figure 2. The disassortative network is built with the Newman recipe (Section 3.4) with and has . The assortative network is built with our recipe (Section 3.3), with , and has .