School of Science, North University of China, Taiyuan, Shanxi 030051, P. R. China.
School of Science, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, P. R. China.
Math Biosci Eng. 2019 Jul 9;16(6):6335-6349. doi: 10.3934/mbe.2019316.
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 R and get that the disease-free equilibrium is locally and globally asymptotically stable if R< 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.
本文提出了一个关于媒体报道对复杂网络影响的传染病模型,其中节点之间的接触被视为社交网络。我们计算了基本再生数 R,并得出结论,如果 R<1,则无病平衡点是局部和全局渐近稳定的,否则无病平衡点是不稳定的,并且存在唯一的地方病平衡点,疾病是永久性的。并考虑了两种免疫策略:比例免疫和目标免疫。通过比较两种免疫策略,发现目标免疫优于比例免疫。最后,数值模拟验证了我们的结果,并对传染病控制中的疫苗接种策略进行了一些讨论。