The Bass Diffusion Model on Finite Barabasi-Albert Networks

Figure 2

Time of the diffusion peak (in years) for the 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 is set to the value (see Figure 9 for results with an inhomogeneous depending on the link class ). The lines with correspond to BA networks with those values of . Their assortativity coefficients are, respectively, . 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 .