In this paper, an uncertain SEIR rumor model driven by one uncertain process is formulated to investigate the influence of perturbation in the transmission of rumor. Firstly, the deduced process of the uncertain SEIR rumor model is presented. Then, we proposed the existence and uniqueness theorem for the solution of the model. Moreover, the study of the stability of the uncertain SEIR rumor model was carried out, and then we came to the conclusion that the model stable in mean. In addition, computer algorithm and numerical simulation is used to verify the accuracy of the theoretical results. The simulation results show that the proposed model can explain the trend of rumor propagation correctly and describe the rumor propagation accurately. Finally, we have compared the propagation process of the uncertain rumor model and the deterministic model according to the numerical algorithm, and drew the conclusion that the model with uncertain perturbation fluctuates around the deterministic model.

中文翻译：

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一个不确定的 SEIR 谣言模型

在本文中，建立了一个由一个不确定过程驱动的不确定 SEIR 谣言模型来研究扰动对谣言传播的影响。首先，介绍了不确定SEIR谣言模型的推导过程。然后，我们提出了模型解的存在唯一性定理。此外，对不确定SEIR谣言模型的稳定性进行了研究，得出该模型均值稳定的结论。此外，通过计算机算法和数值模拟验证了理论结果的准确性。仿真结果表明，该模型能够正确解释谣言传播趋势，准确描述谣言传播。最后，