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.

中文翻译：

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分类网络上创新扩散的起飞时间和高峰时间评估

摘要 本文讨论了用于描述创新扩散的 Bass 模型的推广。泛化考虑了消费者交互的异质性，并由复杂网络上的几个非线性微分方程系统表示。可以挑出以下贡献：首先，为构建各种分类无标度网络提供了显式算法；第二，提供了一种识别起飞时间和高峰时间的方法，它们代表了创新/产品生命周期中的重要转折点；第三，观察到与同一家族网络相关的特定模式的出现，然后给出其初步解释。此外，还给出了与替代方法的比较，