Epidemic outbreaks in growing scale-free networks with local structure

Ni, Shijun; Weng, Wenguo; Shen, Shifei; Fan, Weicheng

doi:10.1016/j.physa.2008.05.051

Cited by 7 publications

(3 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For this case, a leastsquared regression to the data 2 (see the dashed curve on and β = 0.26 ± 0.05 (R 2 = 0.996), where the uncertainties correspond to 99% confidence intervals. This type of curves have also been identified in SI (susceptible-infected) simulations of the initial evolution of epidemic outbreaks in growing scale-free networks with local structures [27]. Similar curves has also been identified in networks whose nodes are not only the media to spread the virus, but also to disseminate their opinions about it [28].…”

Section: Time Evolution Of Y It Totalsupporting

confidence: 57%

Growth Patterns and Scaling Laws Governing AIDS Epidemic in Brazilian Cities

et al. 2014

View full text Add to dashboard Cite

Brazil holds approximately 1/3 of population living infected with AIDS (acquired immunodeficiency syndrome) in Central and South Americas, and it was also the first developing country to implement a large-scale control and intervention program against AIDS epidemic. In this scenario, we investigate the temporal evolution and current status of the AIDS epidemic in Brazil. Specifically, we analyze records of annual absolute frequency of cases for more than 5000 cities for the first 33 years of the infection in Brazil. We found that (i) the annual absolute frequencies exhibit a logistic-type growth with an exponential regime in the first few years of the AIDS spreading; (ii) the actual reproduction number decaying as a power law; (iii) the distribution of the annual absolute frequencies among cities decays with a power law behavior; (iv) the annual absolute frequencies and the number of inhabitants have an allometric relationship; (v) the temporal evolution of the annual absolute frequencies have different profile depending on the average annual absolute frequencies in the cities. These findings yield a general quantitative description of the AIDS infection dynamics in Brazil since the beginning. They also provide clues about the effectiveness of treatment and control programs against the infection, that has had a different impact depending on the number of inhabitants of cities. In this framework, our results give insights into the overall dynamics of AIDS epidemic, which may contribute to select empirically accurate models.

show abstract

Section: Time Evolution Of Y It Totalsupporting

confidence: 57%

Growth Patterns and Scaling Laws Governing AIDS Epidemic in Brazilian Cities

et al. 2014

View full text Add to dashboard Cite

show abstract

“…The other is brought by risk transmission effect through the connection of project chain. Based on the describe above, the risk intensity of the node k at the time t is follow: The analysis of the mean-field theory: Considering the non-uniformity of the project chain network, we assume that p k (t) is the risk transfer probability of the project node, the degree of which is k. Based on the existing references about Mean-field theory (Wang et al, 2006;Ni et al, 2008;Pastor-Satorras and Vespignani, 2001), the mean-field function of the project chain network risk element transmission is:…”

Section: The Project Chain Risk Element Transmissionmentioning

confidence: 99%

Research of Enterprise Project Chain Risk Element Transmission Based on Complex Network Model

Li¹,

Zhang²,

Li³

et al. 2013

RJASET

View full text Add to dashboard Cite

In order to research of enterprise project chain risk element transmission, constructed the enterprise project chain network model based on a complex network and analyzed the complex network characteristics. Take the mean-field theory to analyze the project chain risk element transmission and get the critical value of project chain transmission. The simulation results show that the project chain has the typical characteristics of a complex network. The distribution of it obeys the power law with lower average path length and higher clustering coefficient. It is a typical scale-free network. Based on randomly selecting risk nodes and the key risk nodes, simulate the relationship between transfer rate and the density of project chain risk nodes. It can provide reference for enterprise to make decision of project chain risk prevention. Finally, improve the whole project chain risk management efficiency and valuably.

show abstract

“…Here, we use the Barabási–Albert (BA) model to create scale‐free networks . In addition, the BA model has been widely applied to social networks in the study of epidemic dynamics .…”

Section: Introductionmentioning

confidence: 99%

A scale‐free network model for HIV transmission among men who have sex with men in China

Shen

Yao

2016

Math Methods in App Sciences

View full text Add to dashboard Cite

Objective: The study aimed to analyze sexual networks and sex role preference as factors of HIV transmission among men who have sex with men (MSM) in China. Methods: We have developed a new scale‐free network model with a sex role preference framework to study HIV transmission among MSM. We have studied the influence of different sexual networks and the effect of different proportion of sex role preference upon HIV transmission. The results are that the average ones drawn from the scenarios have been simulated for more than 30 times. Results: Compared with the traditional mathematical model, the sexual networks provide a different prediction of the HIV transmission in the next 30 years. Without any intervention, the proportion of HIV carriers will descend after some time. Conclusions: There is significant associations among network characteristics, sex role preference, and HIV infection. Although network‐based intervention is efficient in reducing HIV transmission among MSM, there are only few studies of the characteristics of sexual network, and such gaps deserve more attention and exploration. Copyright © 2016 John Wiley & Sons, Ltd.

show abstract

Epidemic outbreaks in growing scale-free networks with local structure

Cited by 7 publications

References 25 publications

Growth Patterns and Scaling Laws Governing AIDS Epidemic in Brazilian Cities

Growth Patterns and Scaling Laws Governing AIDS Epidemic in Brazilian Cities

Research of Enterprise Project Chain Risk Element Transmission Based on Complex Network Model

A scale‐free network model for HIV transmission among men who have sex with men in China

Contact Info

Product

Resources

About