scholarly journals Global analysis of epidemic spreading with a general feedback mechanism on complex networks

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Shouying Huang ◽  
Fengde Chen ◽  
Yanhong Zhang
2011 ◽  
Vol 84 (4) ◽  
Author(s):  
Han-Xin Yang ◽  
Wen-Xu Wang ◽  
Ying-Cheng Lai ◽  
Yan-Bo Xie ◽  
Bing-Hong Wang

2012 ◽  
Vol 13 (2) ◽  
pp. 543-557 ◽  
Author(s):  
Yi Wang ◽  
Zhen Jin ◽  
Zimo Yang ◽  
Zi-Ke Zhang ◽  
Tao Zhou ◽  
...  

Author(s):  
Sandro Meloni ◽  
Alex Arenas ◽  
Sergio Gómez ◽  
Javier Borge-Holthoefer ◽  
Yamir Moreno

2017 ◽  
Vol 80 (3) ◽  
pp. 036603 ◽  
Author(s):  
Wei Wang ◽  
Ming Tang ◽  
H Eugene Stanley ◽  
Lidia A Braunstein

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.


2015 ◽  
Vol 08 (01) ◽  
pp. 1550007 ◽  
Author(s):  
Jiancheng Zhang ◽  
Jitao Sun

In this paper, we investigate a new model with a generalized feedback mechanism in weighted networks. Compare to previous models, we consider the initiative response of people and the important impact of nodes with different edges on transmission rate as epidemics prevail. Furthermore, by constructing Lyapunov function, we prove that the disease-free equilibrium E0 is globally asymptotically stable as the epidemic threshold R* < 1. When R* > 1, we obtain the permanence of epidemic and the local stability of endemic equilibrium E*. Finally, one can find a good agreement between numerical simulations and our analytical results.


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