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
2006 ◽  
Vol 17 (12) ◽  
pp. 1815-1822 ◽  
Author(s):  
XIN-JIAN XU ◽  
WEN-XU WANG ◽  
TAO ZHOU ◽  
GUANRONG CHEN

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.


2009 ◽  
Vol 26 (6) ◽  
pp. 068901 ◽  
Author(s):  
Zhang Hai-Feng ◽  
Li Ke-Zan ◽  
Fu Xin-Chu ◽  
Wang Bing-Hong

2002 ◽  
Vol 66 (4) ◽  
Author(s):  
D. Volchenkov ◽  
L. Volchenkova ◽  
Ph. Blanchard

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Carlo Piccardi ◽  
Renato Casagrandi

2011 ◽  
Vol 390 (3) ◽  
pp. 471-481 ◽  
Author(s):  
Xiangwei Chu ◽  
Zhongzhi Zhang ◽  
Jihong Guan ◽  
Shuigeng Zhou

2014 ◽  
Vol 989-994 ◽  
pp. 4524-4527
Author(s):  
Tao Li ◽  
Yuan Mei Wang ◽  
You Ping Yang

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.


2009 ◽  
Vol 2009 (07) ◽  
pp. P07043 ◽  
Author(s):  
Xiangwei Chu ◽  
Jihong Guan ◽  
Zhongzhi Zhang ◽  
Shuigeng Zhou

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