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The impact of media converge on complex networks on disease transmission

1 School of Science, North University of China, Taiyuan, Shanxi 030051, P. R. China
2 School of Science, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, P. R. China

Special Issues: Transmission dynamics in infectious diseases

In this paper, we propose an epidemic disease model about the effect of media coverage on complex networks, where the contacts between nodes are treated as a social network. We calculate the basic reproduction number R0 and get that the disease-free equilibrium is locally and globally asymptotically stable if R0< 1, otherwise disease-free equilibrium is unstable and there exists a unique endemic equilibrium, and the disease is permanent. And two immunization strategies are considered: proportional and target immunization. By comparing two immunization strategies, it is found that the target immunization is better than the proportional immunization. Finally, numerical simulations verify our results and some discussions of vaccination strategies are done in the control of infectious dseases.
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Keywords infectious diseases; complex network; basic reproduction number; stability; immunization

Citation: Maoxing Liu, Shushu He, Yongzheng Sun. The impact of media converge on complex networks on disease transmission. Mathematical Biosciences and Engineering, 2019, 16(6): 6335-6349. doi: 10.3934/mbe.2019316


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