The impact of media converge on complex networks on disease transmission

Mathematical Biosciences and Engineering

Shushu He¹  Maoxing Liu¹  Yongzheng Sun² 

[1] 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;

关键词: infectious diseases;    complex network;    basic reproduction number;    stability;    immunization;   

DOI  :  10.3934/mbe.2019316

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown