Spreading Dynamics of a CPFB Group Booking Preferential Information Model on Scale-Free Networks
With the development of the Internet, online shopping has become a popular way of life in contemporary society. In recent years, online group booking has become an important strategy for e-commerce to promote commodities. In order to study the impact of the products' discount rate, customer...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IEEE
2019-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/8880629/ |
| _version_ | 1819171254943350784 |
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| author | Yangmei Lei Tao Li Yuanmei Wang Gang Ye Shiping Sun Zhenhua Xia |
| author_facet | Yangmei Lei Tao Li Yuanmei Wang Gang Ye Shiping Sun Zhenhua Xia |
| author_sort | Yangmei Lei |
| collection | DOAJ |
| description | With the development of the Internet, online shopping has become a popular way of life in contemporary society. In recent years, online group booking has become an important strategy for e-commerce to promote commodities. In order to study the impact of the products' discount rate, customer's repurchase intention and the heterogeneity of the networks on the spreading of group booking preferential information, we present a novel CPFB (customer-participant-forwarder-beneficiary) group booking preferential information spreading model based on scale-free networks. The dynamic propagation of preferential information in group booking online is analyzed in detail by the mean-field theory. The basic reproductive number R<sub>0</sub> and the two equilibriums are obtained. Then, locally asymptotical stability of equilibriums is discussed based on the Routh-Hurwitz criterion. The global asymptotic stability of the group booking free equilibrium, the permanence of preferential information spreading and the global attractivity of the group booking equilibrium is proved in detail. Theoretical results show that the basic reproductive number R<sub>0</sub> depends mainly on the discount rate and the topology of the underlying networks. And the size of the repurchase intention rate η can promote the spreading of preferential information about online group booking, but do not affect the size of the basic reproductive number R<sub>0</sub>. Finally, numerical simulations confirm the analytical results of the theories. |
| first_indexed | 2024-12-22T19:48:22Z |
| format | Article |
| id | doaj.art-a8bb4618f5a54d2e85da73e3b728790b |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-22T19:48:22Z |
| publishDate | 2019-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-a8bb4618f5a54d2e85da73e3b728790b2022-12-21T18:14:37ZengIEEEIEEE Access2169-35362019-01-01715628715630010.1109/ACCESS.2019.29491018880629Spreading Dynamics of a CPFB Group Booking Preferential Information Model on Scale-Free NetworksYangmei Lei0Tao Li1https://orcid.org/0000-0001-7431-9493Yuanmei Wang2Gang Ye3Shiping Sun4Zhenhua Xia5School of Electronics and Information, Yangtze University, Jingzhou, ChinaSchool of Electronics and Information, Yangtze University, Jingzhou, ChinaSchool of Electronics and Information, Yangtze University, Jingzhou, ChinaSchool of Electronics and Information, Yangtze University, Jingzhou, ChinaSchool of Electronics and Information, Yangtze University, Jingzhou, ChinaSchool of Electronics and Information, Yangtze University, Jingzhou, ChinaWith the development of the Internet, online shopping has become a popular way of life in contemporary society. In recent years, online group booking has become an important strategy for e-commerce to promote commodities. In order to study the impact of the products' discount rate, customer's repurchase intention and the heterogeneity of the networks on the spreading of group booking preferential information, we present a novel CPFB (customer-participant-forwarder-beneficiary) group booking preferential information spreading model based on scale-free networks. The dynamic propagation of preferential information in group booking online is analyzed in detail by the mean-field theory. The basic reproductive number R<sub>0</sub> and the two equilibriums are obtained. Then, locally asymptotical stability of equilibriums is discussed based on the Routh-Hurwitz criterion. The global asymptotic stability of the group booking free equilibrium, the permanence of preferential information spreading and the global attractivity of the group booking equilibrium is proved in detail. Theoretical results show that the basic reproductive number R<sub>0</sub> depends mainly on the discount rate and the topology of the underlying networks. And the size of the repurchase intention rate η can promote the spreading of preferential information about online group booking, but do not affect the size of the basic reproductive number R<sub>0</sub>. Finally, numerical simulations confirm the analytical results of the theories.https://ieeexplore.ieee.org/document/8880629/<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">CPFB</italic> modelscale-free networksstabilitypermanenceglobal attractivity |
| spellingShingle | Yangmei Lei Tao Li Yuanmei Wang Gang Ye Shiping Sun Zhenhua Xia Spreading Dynamics of a CPFB Group Booking Preferential Information Model on Scale-Free Networks IEEE Access <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">CPFB</italic> model scale-free networks stability permanence global attractivity |
| title | Spreading Dynamics of a CPFB Group Booking Preferential Information Model on Scale-Free Networks |
| title_full | Spreading Dynamics of a CPFB Group Booking Preferential Information Model on Scale-Free Networks |
| title_fullStr | Spreading Dynamics of a CPFB Group Booking Preferential Information Model on Scale-Free Networks |
| title_full_unstemmed | Spreading Dynamics of a CPFB Group Booking Preferential Information Model on Scale-Free Networks |
| title_short | Spreading Dynamics of a CPFB Group Booking Preferential Information Model on Scale-Free Networks |
| title_sort | spreading dynamics of a cpfb group booking preferential information model on scale free networks |
| topic | <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">CPFB</italic> model scale-free networks stability permanence global attractivity |
| url | https://ieeexplore.ieee.org/document/8880629/ |
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