Study on the steady state of the propagation model of consumers’ perceived service quality in the community group-buying

The consumption stickiness relationship established by community group buying is a typical complex social network. The network structure, member size, interaction frequency and purchase quantity are determined by the effective communication of customer perceived service quality (PSQ). This paper introduces the social reinforcement effect to construct a G-SCIR model of PSQ propagation in the community group-buying, and improves the calculation method of propagation probability and node status attributes. We use numerical simulation methods to explore how the social reinforcement effect can promote the spread of PSQ and achieve a steady state by influencing recovered nodes. The simulation results show that the G-SCIR model proposed in the paper has better stability and higher coverage than the traditional SCIR model. The change trend of the attributes of each node in the network is also closer to the real one, which can effectively simulate the propagation process and evolution characteristics of PSQ in the context of community group-buying. Meanwhile, the paper verifies that the steady state of PSQ propagation is usually affected by its initial conversion probability of community group-buying, its upper limit and social reinforcement factor, and there are significant Markov properties in the propagation process of PSQ. The findings may further enrich the community business and online group buying theory, and provide theoretical reference and practical guidance for community group-buying enterprises to optimize market layout and formulate scientific communication strategies.