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Journal of Applied Mathematics
Volume 2014, Article ID 940623, 12 pages
http://dx.doi.org/10.1155/2014/940623
Research Article

Modeling and Analysis of New Products Diffusion on Heterogeneous Networks

Shuping Li1,2 and Zhen Jin2,3

1School of Mechatronic Engineering, North University of China, Taiyuan, Shan’xi 030051, China
2Department of Mathematics, North University of China, Taiyuan, Shan’xi 030051, China
3Complex Systems Research Center, Shanxi University, Taiyuan, Shan’xi 030006, China

Received 5 February 2014; Accepted 22 April 2014; Published 28 May 2014

Academic Editor: Chong Lin

Copyright © 2014 Shuping Li and Zhen Jin. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.