This paper is dedicated to exploring the dynamical behavior of information diffusion in the Device-to-Device (D2D) communication environment for information security, so as to study how to accelerate the dissemination of beneficial information and curb the spread of malicious information. A mathematical model of information diffusion considering the combined impact of user awareness and social tie between users is proposed. The equilibrium of the model and its stability are fully analyzed. Very importantly, there is a unique (viral) equilibrium that is globally asymptotically stable without any preconditions. This means that the spread of malicious information in the D2D communication environment cannot be completely eliminated whatever measures are taken, but its diffusion scale can be controlled by adjusting the value of the equilibrium, and then the goal of pursuing the best control effect at the minimum cost can be achieved. In the same way, the dissemination scale of beneficial information can be expanded. Finally, the obtained main theoretical results are illustrated by some examples, and some suggestions are also given.

中文翻译：

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探索D2D通信环境中信息扩散的动态行为

本文致力于探讨在设备到设备（D2D）通信环境中信息传播的动态行为，以实现信息安全，从而研究如何加速有益信息的传播并遏制恶意信息的传播。提出了一种考虑用户意识和用户之间社交联系的综合影响的信息扩散数学模型。充分分析了模型的平衡及其稳定性。非常重要的是，存在一个独特的（病毒）平衡，它在没有任何先决条件的情况下全局渐近稳定。这意味着无论采取何种措施，都无法完全消除恶意信息在D2D通信环境中的传播，但是可以通过调整平衡值来控制其传播规模，这样就可以达到以最小的成本追求最佳的控制效果的目的。同样，可以扩大有益信息的传播规模。最后，通过实例说明了获得的主要理论结果，并提出了一些建议。