An epidemic spreading model on adaptive scale-free networks with feedback mechanism

2016 ◽  
Vol 450 ◽  
pp. 649-656 ◽  
Author(s):  
Tao Li ◽  
Xiongding Liu ◽  
Jie Wu ◽  
Chen Wan ◽  
Zhi-Hong Guan ◽  
...  
Keyword(s):  
Feedback Mechanism ◽  
Epidemic Spreading ◽  
Scale Free ◽  
Spreading Model ◽  
Scale Free Networks

Research on SIQRS Spreading Dynamic Model with Feedback Mechanism on Scale-Free Networks

2014 ◽  
Vol 989-994 ◽  
pp. 4524-4527
Author(s):  
Tao Li ◽  
Yuan Mei Wang ◽  
You Ping Yang
Keyword(s):  
Dynamic Model ◽  
Mean Field Theory ◽  
Mean Field ◽  
Feedback Mechanism ◽  
Epidemic Spreading ◽  
Scale Free ◽  
Spreading Dynamics ◽  
Scale Free Networks ◽  
The Mean ◽  
The Relationship

A modified spreading dynamic model with feedback-mechanism based on scale-free networks is presented in this study. Using the mean field theory, the spreading dynamics of the model is analyzed. The spreading threshold and equilibriums are derived. The relationship between the spreading threshold, the epidemic steady-state and the feedback-mechanism is analyzed in detail. Theoretical results indicate the feedback-mechanism can increase the spreading threshold, resulting in effectively controlling the epidemic spreading.

An SIS Epidemic Model with Feedback Mechanism in Scale-Free Networks

2011 ◽  
Vol 204-210 ◽  
pp. 354-358 ◽  
Author(s):  
Guang Wu Gong ◽  
Da Min Zhang
Keyword(s):  
Epidemic Model ◽  
Feedback Mechanism ◽  
Epidemic Spreading ◽  
Epidemic Threshold ◽  
Spreading Process ◽  
Scale Free ◽  
Sis Epidemic Model ◽  
Scale Free Networks ◽  
Controlling Measures ◽  
Sis Epidemic

A new susceptible-infected-susceptible model with feedback mechanism is proposed. The dynamic behavior of the epidemic model with feedback mechanism in scale-free networks is researched by theoretical analysis and computer simulation. The results show that feedback mechanism can reduce the stable infective ratio of system; however, it can not influence the epidemic threshold of system. The results can help us to understand rightly epidemic spreading process in reality networks and guide people to design effective epidemic preventive and controlling measures when epidemic outbreaks.

Epidemic Spreading with Feedback Mechanism and Time Delay under Migration in Scale-Free Networks

2013 ◽  
Vol 378 ◽  
pp. 655-661
Author(s):  
Tao Li ◽  
Yuan Mei Wang
Keyword(s):  
Time Delay ◽  
Mean Field Theory ◽  
Mean Field ◽  
Feedback Mechanism ◽  
Critical Threshold ◽  
Epidemic Spreading ◽  
Scale Free ◽  
Epidemic Dynamics ◽  
Scale Free Networks ◽  
The Mean

Taking into account the heterogeneity of the underlying networks, an epidemic model with feedback-mechanism, time delay and migrations of individuals on scale-free networks is presented. First, the epidemic dynamics is analyzed via the mean field theory. The spreading critical threshold and equilibriums are derived. The existence of endemic equilibrium is determined by the spreading threshold. Then, the influences of feedback-mechanism, time delay, migrations of individuals and the heterogeneity of the scale-free networks on the spreading threshold and the epidemic steady-state are studied in detail. Numerical simulations are presented to illustrate the results with the theoretical analysis.

scholarly journals Dynamics analysis of an online gambling spreading model on scale-free networks

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Yu Kong ◽  
Tao Li ◽  
Yuanmei Wang ◽  
Xinming Cheng ◽  
He Wang ◽  
...  
Keyword(s):  
Network Topology ◽  
Negative Impact ◽  
Online Gambling ◽  
Basic Reproductive Number ◽  
Reproductive Number ◽  
Scale Free ◽  
Spreading Model ◽  
Spreading Dynamics ◽  
Scale Free Networks ◽  
Gambling Policy

AbstractNowadays, online gambling has a great negative impact on the society. In order to study the effect of people’s psychological factors, anti-gambling policy, and social network topology on online gambling dynamics, a new SHGD (susceptible–hesitator–gambler–disclaimer) online gambling spreading model is proposed on scale-free networks. The spreading dynamics of online gambling is studied. The basic reproductive number $R_{0}$ R 0 is got and analyzed. The basic reproductive number $R_{0}$ R 0 is related to anti-gambling policy and the network topology. Then, gambling-free equilibrium $E_{0}$ E 0 and gambling-prevailing equilibrium $E_{ +} $ E + are obtained. The global stability of $E_{0}$ E 0 is analyzed. The global attractivity of $E_{ +} $ E + and the persistence of online gambling phenomenon are studied. Finally, the theoretical results are verified by some simulations.

scholarly journals Epidemic spreading in lattice-embedded scale-free networks

2007 ◽  
Vol 377 (1) ◽  
pp. 125-130 ◽  
Author(s):  
Xin-Jian Xu ◽  
Zhi-Xi Wu ◽  
Guanrong Chen
Keyword(s):  
Epidemic Spreading ◽  
Scale Free ◽  
Scale Free Networks

scholarly journals GEOGRAPHICAL EFFECTS ON EPIDEMIC SPREADING IN SCALE-FREE NETWORKS

2006 ◽  
Vol 17 (12) ◽  
pp. 1815-1822 ◽  
Author(s):  
XIN-JIAN XU ◽  
WEN-XU WANG ◽  
TAO ZHOU ◽  
GUANRONG CHEN
Keyword(s):  
Metric Space ◽  
Healthy Individual ◽  
Euclidean Distance ◽  
Nearest Neighbors ◽  
Epidemic Spreading ◽  
Sis Model ◽  
Scale Free ◽  
Scale Free Networks ◽  
Disease Spreading

Many real networks are embedded in a metric space: the interactions among individuals depend on their spatial distances and usually take place among their nearest neighbors. In this paper, we introduce a modified susceptible-infected-susceptible (SIS) model to study geographical effects on the spread of diseases by assuming that the probability of a healthy individual infected by an infectious one is inversely proportional to the Euclidean distance between them. It is found that geography plays a more important role than hubs in disease spreading: the more geographically constrained the network is, the more highly the epidemic prevails.

An Efficient Control Strategy of Epidemic Spreading on Scale-Free Networks

2009 ◽  
Vol 26 (6) ◽  
pp. 068901 ◽  
Author(s):  
Zhang Hai-Feng ◽  
Li Ke-Zan ◽  
Fu Xin-Chu ◽  
Wang Bing-Hong
Keyword(s):  
Control Strategy ◽  
Epidemic Spreading ◽  
Scale Free ◽  
Scale Free Networks ◽  
Efficient Control

Epidemic spreading in a variety of scale free networks

2002 ◽  
Vol 66 (4) ◽  
Author(s):  
D. Volchenkov ◽  
L. Volchenkova ◽  
Ph. Blanchard
Keyword(s):  
Epidemic Spreading ◽  
Scale Free ◽  
Scale Free Networks
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