Competing spreading processes and immunization in multiplex networks |
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| Institution: | 1. School of Computer Information management, Inner Mongolia University of Finance and Economics, Hohhot 010051, China;2. School of Automation, Northwestern Polytechnical University, Xi’an 710072, China;3. Shandong Provincial Key Laboratory of Computer Networks, Shandong Computer Science Center (National Supercomputer Center in Jinan), Jinan 250014, China;1. Shandong Provincial Key Laboratory of Computer Networks, Shandong Computer Science Center (National Supercomputer Center in Jinan), Jinan 250014, China;2. State key Laboratory of Networking and Switching Technology (Beijing University of Posts and Telecommunications), Beijing 100876, China;3. College of Mathematics and Information Science, Shandong Technology and Business University, Yantai, Shandong 264005, China;4. School of Computer Science, National University of Defense Technology, 410073 Changsha, China;1. Department of Physics, East China Normal University, Shanghai 200241, China;2. Web Sciences Center, University of Electronic Science and Technology of China, Chengdu 610054, China;3. School of Information Science and Technology, East China Normal University, Shanghai 200241, China;4. CNR-Institute of Complex Systems, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Florence, Italy;5. The Embassy of Italy in Tel Aviv, 25 Hamered Street, 68125 Tel Aviv, Israel;1. Interdisciplinary Graduate School of Engineering Sciences, Kyushu University, Kasuga-koen, Kasuga-shi, Fukuoka 816-8580, Japan;2. Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh;3. Faculty of Engineering Sciences, Kyushu University, Kasuga-koen, Kasuga-shi, Fukuoka 816-8580, Japan |
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| Abstract: | Epidemic spreading on physical contact network will naturally introduce the human awareness information diffusion on virtual contact network, and the awareness diffusion will in turn depress the epidemic spreading, thus forming the competing spreading processes of epidemic and awareness in a multiplex networks. In this paper, we study the competing dynamics of epidemic and awareness, both of which follow the SIR process, in a two-layer networks based on microscopic Markov chain approach and numerical simulations. We find that strong capacities of awareness diffusion and self-protection of individuals could lead to a much higher epidemic threshold and a smaller outbreak size. However, the self-awareness of individuals has no obvious effect on the epidemic threshold and outbreak size. In addition, the immunization of the physical contact network under the interplay between of epidemic and awareness spreading is also investigated. The targeted immunization is found performs much better than random immunization, and the awareness diffusion could reduce the immunization threshold for both type of random and targeted immunization significantly. |
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