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Dynamical interplay between the dissemination of scientific knowledge and rumor spreading in emergency

机译:紧急情况下科学知识的传播与谣言传播之间的动态相互作用

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摘要

Rumor is an important form of social interaction and its spreading has a significant impact on human lives. Accounting to rumors' spread, we present a way of analysis on interaction between two processes, and a frame about the dissemination of scientific knowledge in order to prevent rumor transition. Based on this analysis, a 4D dynamic model is established and numerical simulations are performed. Mathematical analysis of the system with regard to boundedness of solutions, local and global stability of the feasible equilibria and persistence of the system are presented. When the rate of scientific knowledge dissemination reaches a critical value, it can be concluded that the strictly positive interior equilibria undergoes Hopf-bifurcation. The rumor spreading rate also plays an important role on the dynamic behavior of our system, which can be showed from our simulation results that lower rumor spreading rate drives the rumormongers to extinction. (C) 2016 Elsevier B.V. All rights reserved.
机译:谣言是社会互动的一种重要形式,它的传播对人类生活产生重大影响。考虑到谣言的传播,我们提出了一种分析两个过程之间相互作用的方法,以及一个关于科学知识传播的框架,以防止谣言的转变。基于此分析,建立了4D动态模型并进行了数值模拟。给出了关于解的有界性,可行平衡的局部和全局稳定性以及系统的持久性的系统数学分析。当科学知识的传播速度达到临界值时,可以得出结论,严格为正的内部均衡经历了霍夫分支。谣言传播率在我们系统的动态行为中也起着重要作用,这可以从我们的模拟结果中看出,较低的谣言传播率会使谣言贩子灭绝。 (C)2016 Elsevier B.V.保留所有权利。

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