Modeling and Analysis of New Products Diffusion on Heterogeneous Networks | Zendy

Shuping Li | Zendy; Zhen Jin | Zendy

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Modeling and Analysis of New Products Diffusion on Heterogeneous Networks

Author(s) -

Shuping Li,

Zhen Jin

Publication year - 2014

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2014/940623

Subject(s) - diffusion , degree distribution , statistical physics , preferential attachment , computer science , scale free network , stage (stratigraphy) , diffusion process , process (computing) , complex network , innovation diffusion , econometrics , mathematics , physics , thermodynamics , knowledge management , paleontology , biology , world wide web , operating system

We present a heterogeneous networks model with the awareness stage and the decision-making stage to explain the process of new products diffusion. If mass media is neglected in the decision-making stage, there is a threshold whether the innovation diffusion is successful or not, or else it is proved that the network model has at least one positive equilibrium. For networks with the power-law degree distribution, numerical simulations confirm analytical results, and also at the same time, by numerical analysis of the influence of the network structure and persuasive advertisements on the density of adopters, we give two different products propagation strategies for two classes of nodes in scale-free networks

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