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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/940623 |
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| _version_ | 1832548514481045504 |
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| 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 |