https://orcid.org/0000-0001-6086-8395
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ABSTRACT
This paper deals with a generalization of the Bass model for the description of the diffusion of innovations. The generalization keeps into account heterogeneity of the interactions of the consumers and is expressed by a system of several nonlinear differential equations on complex networks. The following contributions can be singled out: first, explicit algorithms are provided for the construction of various families of assortative scale-free networks; second, a method is provided for the identification of the takeoff time and of the peak time, which represent important turning points in the life cycle of an innovation/product; third, the emergence of specific patterns in connection with networks of the same family is observed, whose tentative interpretation is then given. Also, a comparison with an alternative approach is given, within which adoption times of different communities are evaluated of a network describing firm cooperations in South Tyrol.
Disclosure statement
No potential conflict of interest was reported by the authors.
Notes
1. Of course, the value of in general changes if a different
is taken.
2. We should point out here that, as explained in [Citation7], when results relative to systems on scale-free networks with different exponents are to be compared, the coefficient
has to be normalized. And this is achieved by dividing
by the average degree of the network
.
3. Notice that several entries seem here to have the same value. In fact, this is simply due to rounding.