Immunization of epidemics in multiplex networks.
Up to now, immunization of disease propagation has attracted great attention in both theoretical and experimental researches. However, vast majority of existing achievements are limited to the simple assumption of single layer networked population, which seems obviously inconsistent with recent development of complex network theory: each node could possess multiple roles in different topology connections. Inspired by this fact, we here propose the immunization strategies on multiplex networks, including multiplex node-based random (targeted) immunization and layer node-based random (targeted) immunization. With the theory of generating function, theoretical analysis is developed to calculate the immunization threshold, which is regarded as the most critical index for the effectiveness of addressed immunization strategies. Interestingly, both types of random immunization strategies show more efficiency in controlling disease spreading on multiplex Erdös-Rényi (ER) random networks; while targeted immunization strategies provide better protection on multiplex scale-free (SF) networks.
Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center (National Supercomputer Center in Jinan), Jinan, China.
Dawei
D
Zhao
Shandong Provincial Key Laboratory of Computer Network, Shandong Computer Science Center (National Supercomputer Center in Jinan), Jinan, China.
Lianhai
L
Wang
College of Mathematics and Information Science, Shandong Institute of Business and Technology, Shandong, Yantai, China; College of Computer, National University of Defense Technology, Hunan, Changsha, China.
Shudong
S
Li
Department of Physics, Hong Kong Baptist University, Kowloon Tong, Hong Kong; Center for Nonlinear Studies and Beijing-Hong Kong-Singapore Joint Center for Nonlinear and Complex systems (Hong Kong), Institute of Computational and Theoretical Studies, Hong Kong Baptist University, Kowloon Tong, Hong Kong.
Zhen
Z
Wang
Centre for Chaos and Complex Networks, Department of Electronic Engineering, City University of Hong Kong, Hong Kong.
Lin
L
Wang
School of Computer Information management, Inner Mongolia University of Finance and Economics, Hohhot, China.
Bo
B
Gao
D000465:Algorithms; D058872:Epidemics; D006801:Humans; D007114:Immunization; D008962:Models, Theoretical