Co-evolution spreading of multiple information and epidemics on two-layered networks under the influence of mass media

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ORIGINAL PAPER

Co-evolution spreading of multiple information and epidemics on two-layered networks under the influence of mass media Zhishuang Wang · Chengyi Xia

Received: 20 July 2020 / Accepted: 12 October 2020 © Springer Nature B.V. 2020

Abstract During epidemic outbreaks, there are various types of information about epidemic prevention disseminated simultaneously among the population. Meanwhile, the mass media also scrambles to report the information related to the epidemic. Inspired by these phenomena, we devise a model to discuss the dynamical characteristics of the co-evolution spreading of multiple information and epidemic under the influence of mass media. We construct the co-evolution model under the framework of two-layered networks and gain the dynamical equations and epidemic critical point with the help of the micro-Markov chain approach. The expression of epidemic critical point show that the positive and negative information have a direct impact on the epidemic critical point. Moreover, the mass media can indirectly affect the epidemic size and epidemic critical point through their interference with the dissemination of epidemic-relevant information. Though extensive numerical experiments, we examine the accuracy of the dynamical equations and expression of the epidemic critical point, showing that the dynamical characteristics of co-evolution spreadZ. Wang · C. Xia (B) Tianjin Key Laboratory of Intelligence Computing and Novel Software Technology, Tianjin University of Technology, Tianjin 300384, China e-mail: [email protected] Z. Wang · C. Xia The Engineering Research Center of Learning-Based Intelligent System, Ministry of Education, Tianjin, China

ing can be well described by the dynamic equations and the epidemic critical point is able to be accurately calculated by the derived expression. The experimental results demonstrate that accelerating positive information dissemination and enhancing the propaganda intensity of mass media can efficaciously restrain the epidemic spreading. Interestingly, the way to accelerate the dissemination of negative information can also alleviate the epidemic to a certain extent when the positive information hardly spreads. Current results can provide some useful clues for epidemic prevention and control on the basis of epidemic-relevant information dissemination. Keywords Epidemic spreading · Information dissemination · Two-layered networks · Mass media · MMC approach

1 Introduction Varieties of information dissemination channels make it easier for people to obtain the information. In addition to the traditional way of disseminating information by word of mouth, we can also get information from online social networks, news websites and television stations, to name only a few. The dissemination of information has an increasingly profound impact on human society. In general, the epidemic spreading can trigger epidemic-relevant information to disseminate among the population [1]. People often make some

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responses to reduce the possi