Shi Hong-Jing(史红静)a)†, Duan Zhi-Sheng(段志生)a), Chen Guan-Rong(陈关荣)a)b), and Li Rong(李嵘)a)
a State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China; b Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China
Abstract In this paper, a new susceptible-infected-susceptible (SIS) model on complex networks with imperfect vaccination is proposed. Two types of epidemic spreading patterns (the recovered individuals have or have not immunity) on scale-free networks are discussed. Both theoretical and numerical analyses are presented. The epidemic thresholds related to the vaccination rate, the vaccination-invalid rate and the vaccination success rate on scale-free networks are demonstrated, showing different results from the reported observations. This reveals that whether or not the epidemic can spread over a network under vaccination control is determined not only by the network structure but also by the medicine's effective duration. Moreover, for a given infective rate, the proportion of individuals to vaccinate can be calculated theoretically for the case that the recovered nodes have immunity. Finally, simulated results are presented to show how to control the disease prevalence.
Received: 10 February 2009
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of
China (Grant Nos 60674093, 10832006) and the Hong Kong Research
Grants Council under Grant CityU 1117/08E.
Cite this article:
Shi Hong-Jing(史红静), Duan Zhi-Sheng(段志生), Chen Guan-Rong(陈关荣), and Li Rong(李嵘) Epidemic spreading on networks with vaccination 2009 Chin. Phys. B 18 3309
Characteristics of vapor based on complex networks in China Ai-Xia Feng(冯爱霞), Qi-Guang Wang(王启光), Shi-Xuan Zhang(张世轩), Takeshi Enomoto(榎本刚), Zhi-Qiang Gong(龚志强), Ying-Ying Hu(胡莹莹), and Guo-Lin Feng(封国林). Chin. Phys. B, 2022, 31(4): 049201.
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
