Abstract
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_{0} $ 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_{0} $ depends mainly on the discount rate and the topology of the underlying networks. And the size of the repurchase intention rate $\eta $ can promote the spreading of preferential information about online group booking, but do not affect the size of the basic reproductive number $R_{0} $ . Finally, numerical simulations confirm the analytical results of the theories.
Highlights
With the development of socialized e-commerce, the spreading of online shopping preferential information about commodities is a very common phenomenon [1]–[3]
In this paper, in order to study the impact of the products’ discount rate, the repurchase intention and the heterogeneity of the networks on the online dissemination of preferential information, we have proposed a novel CPFB model based on scale-free networks
Through the topology of networks and mean-field theory, we have analyzed the dynamic propagation of preferential information in group booking
Summary
With the development of socialized e-commerce, the spreading of online shopping preferential information about commodities is a very common phenomenon [1]–[3]. These researches are only analysis of the phenomenon They do not consider the impact of the individual’s repurchase intention of group booking, the discount rate of commodity and the heterogeneity of the network on the dissemination of preferential information from the direction of propagation dynamics. In order to study the impact of the heterogeneity of the networks, the products’ discount rate and the repurchase intention on the online dissemination of preferential information, we propose a novel CPFB model based on scale-free networks. In Second 2, we present a CPFB model of group booking preferential information dissemination on scale-free networks.
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