Spread mechanism and control strategy of social network rumors under the influence of COVID-19
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ORIGINAL PAPER
Spread mechanism and control strategy of social network rumors under the influence of COVID-19 Hongwen Hui · Chengcheng Zhou · Xing Lü · Jiarong Li
Received: 26 April 2020 / Accepted: 22 July 2020 © Springer Nature B.V. 2020
Abstract Since the outbreak of coronavirus disease in 2019 (COVID-19), the disease has rapidly spread to the world, and the cumulative number of cases is now more than 2.3 million. We aim to study the spread mechanism of rumors on social network platform during the spread of COVID-19 and consider education as a control measure of the spread of rumors. Firstly, a novel epidemic-like model is established to characterize the spread of rumor, which depends on the nonautonomous partial differential equation. Furthermore, the registration time of network users is abstracted as ‘age,’ and the spreading principle of rumors is described from two dimensions of age and time. Specifically, the susceptible users are divided into higher-educators class and lower-educators class, in which the higher-educators class will be immune to rumors with a higher probability and the lower-educators class is more likely to accept and spread the rumors. Secondly, the existence and uniqueness of the solution is discussed and the stability of steady-state solution of the model is obtained. H. Hui · C. Zhou · X. Lü School of Computer and Communication Engineering University of Science and Technology Beijing, Beijing 100083, China X. Lü (B) Department of Mathematics, Beijing Jiaotong University, Beijing 100044, China e-mail: [email protected]; [email protected] J. Li College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China
Additionally, an interesting conclusion is that the education level of the crowd is an essential factor affecting the final scale of the spread of rumors. Finally, some control strategies are presented to effectively restrain the rumor propagation, and numerical simulations are carried out to verify the main theoretical results. Keywords COVID-19 · Rumors · Partial differential equation · Education level Mathematics Subject Classification 35A25 · 37K10
1 Introduction Since December 2019, a number of unexplained pneumonia cases have been discovered by some hospitals in Wuhan, Hubei Province, China, and have been confirmed as acute respiratory infections caused by coronavirus disease in 2019 [1]. On February 11, 2020, the World Health Organization (WHO) named a coronavirus disease 2019 as ‘COVID-19.’ So far, there have been 2,335,180 patients with COVID-19 worldwide, and 161,491 have died (latest data as of writing time April 20th 17:05, 2020 [2]). The case data of the world top six most affected countries on April 2, 2020, and April 20, 2020, are shown in Table 1. The COVID19 has spread globally, seriously endangering people’s lives and health, and leading to a huge impact on the economy, education and daily life of various countries. At present, only some provinces in China have resumed
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H. Hui et al. Table 1 Case data of the world top six most affected
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