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Dynamic analysis of a \(\pmb {SI_{1}I_{2}AD}\) information dissemination model considering the word of mouth

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Abstract

Word of mouth(WOM) communication, that is, the dissemination of information about consumers’ experiences of use, has many implications for consumer attitudes. Based on this, we proposed a \(SI_{1}I_{2}AD\) (Susceptible-Infected1-Infected2-Agreeable-Disagreeable) model to analyze the influence of access to two information channels on consumers’ purchase choices. First, the fundamental regeneration number \(R_{0}\) and the three equilibrium points are solved according to the stability theory of ordinary differential equations. Then, the local asymptotic stability of the equilibrium points is proved. Finally, the effects of traditional WOM and Internet word of mouth (IWOM) on purchase decisions are quantitatively analyzed based on numerical simulations. Thereby, relevant suggestions are given for product marketing.

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Acknowledgements

We thank the anonymous Editors and Reviewers warm work earnestly. This work was supported by the Social Science Planning Fund of Liaoning Province China(No. L22AGL015), the Natural Science Foundation of Liaoning Science and Technology Agency of China(No.2022-MS-356).

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  1. School of Science, University of Science and Technology Liaoning, Anshan, 114051, China

    Rongrong Qiao & Yuhan Hu

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Correspondence to Yuhan Hu.

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Qiao, R., Hu, Y. Dynamic analysis of a \(\pmb {SI_{1}I_{2}AD}\) information dissemination model considering the word of mouth. Nonlinear Dyn 111, 22763–22780 (2023). https://doi.org/10.1007/s11071-023-09021-5

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