Modeling and Analysis of New Products Diffusion on Heterogeneous Networks

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Shuping Li, Zhen Jin
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/940623
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832548514481045504
author Shuping Li
Zhen Jin
author_facet Shuping Li
Zhen Jin
author_sort Shuping Li
collection DOAJ
description 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.
format Article
id doaj-art-010b25b1aab64db990b65a1aa61ce9cd
institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-010b25b1aab64db990b65a1aa61ce9cd2025-02-03T06:13:43ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/940623940623Modeling and Analysis of New Products Diffusion on Heterogeneous NetworksShuping Li0Zhen Jin1School of Mechatronic Engineering, North University of China, Taiyuan, Shan’xi 030051, ChinaDepartment of Mathematics, North University of China, Taiyuan, Shan’xi 030051, ChinaWe 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.http://dx.doi.org/10.1155/2014/940623
spellingShingle Shuping Li
Zhen Jin
Modeling and Analysis of New Products Diffusion on Heterogeneous Networks
Journal of Applied Mathematics
title Modeling and Analysis of New Products Diffusion on Heterogeneous Networks
title_full Modeling and Analysis of New Products Diffusion on Heterogeneous Networks
title_fullStr Modeling and Analysis of New Products Diffusion on Heterogeneous Networks
title_full_unstemmed Modeling and Analysis of New Products Diffusion on Heterogeneous Networks
title_short Modeling and Analysis of New Products Diffusion on Heterogeneous Networks
title_sort modeling and analysis of new products diffusion on heterogeneous networks
url http://dx.doi.org/10.1155/2014/940623
work_keys_str_mv AT shupingli modelingandanalysisofnewproductsdiffusiononheterogeneousnetworks
AT zhenjin modelingandanalysisofnewproductsdiffusiononheterogeneousnetworks