Stability and bifurcation of disease spreading in complex networks

2004 ◽  
Vol 35 (9) ◽  
pp. 527-536 ◽  
Author(s):  
Xiang Li ◽  
Guanrong Chen * ◽  
Chunguang Li
Keyword(s):  
Complex Networks ◽  
Stability And Bifurcation ◽  
Disease Spreading

Is There a Relation Between Synchronization Stability and Bifurcation Type?

2020 ◽  
Vol 30 (08) ◽  
pp. 2050123
Author(s):  
Zahra Faghani ◽  
Zhen Wang ◽  
Fatemeh Parastesh ◽  
Sajad Jafari ◽  
Matjaž Perc
Keyword(s):  
Complex Networks ◽  
Nonlinear Dynamical Systems ◽  
General Relation ◽  
Dynamical Behavior ◽  
Stability Function ◽  
Nonlinear Dynamical ◽  
Practical Applications ◽  
Stability Functions ◽  
Stability And Bifurcation ◽  
The Stability

Synchronization in complex networks is an evergreen subject with many practical applications across the natural and social sciences. The stability of synchronization is thereby crucial for determining whether the dynamical behavior is stable or not. The master stability function is commonly used to that effect. In this paper, we study whether there is a relation between the stability of synchronization and the proximity to certain bifurcation types. We consider four different nonlinear dynamical systems, and we determine their master stability functions in dependence on key bifurcation parameters. We also calculate the corresponding bifurcation diagrams. By means of systematic comparisons, we show that, although there are some variations in the master stability functions in dependence on bifurcation proximity and type, there is in fact no general relation between synchronization stability and bifurcation type. This has important implication for the restrained generalizability of findings concerning synchronization in complex networks for one type of node dynamics to others.

scholarly journals Controlling distant contacts to reduce disease spreading on disordered complex networks

2020 ◽  
Vol 545 ◽  
pp. 123709 ◽  
Author(s):  
Ignacio A. Perez ◽  
Paul A. Trunfio ◽  
Cristian E. La Rocca ◽  
Lidia A. Braunstein
Keyword(s):  
Complex Networks ◽  
Disease Spreading

scholarly journals Discrete-time Markov chain approach to contact-based disease spreading in complex networks

2010 ◽  
Vol 89 (3) ◽  
pp. 38009 ◽  
Author(s):  
S. Gómez ◽  
A. Arenas ◽  
J. Borge-Holthoefer ◽  
S. Meloni ◽  
Y. Moreno
Keyword(s):  
Markov Chain ◽  
Complex Networks ◽  
Discrete Time ◽  
Discrete Time Markov Chain ◽  
Markov Chain Approach ◽  
Disease Spreading

scholarly journals Impact of the distribution of recovery rates on disease spreading in complex networks

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Guilherme Ferraz de Arruda ◽  
Giovanni Petri ◽  
Francisco A. Rodrigues ◽  
Yamir Moreno
Keyword(s):  
Complex Networks ◽  
Recovery Rates ◽  
Disease Spreading

Disease spreading model considering the activity of individuals on complex networks

2019 ◽  
Vol 530 ◽  
pp. 121393 ◽  
Author(s):  
Yaqiong Wang ◽  
Guanghui Yuan ◽  
Chongjun Fan ◽  
Yuxin Hu ◽  
YunPeng Yang
Keyword(s):  
Complex Networks ◽  
Spreading Model ◽  
Disease Spreading

Disease spreading on fitness-rewired complex networks

2011 ◽  
Vol 390 (23-24) ◽  
pp. 4571-4576 ◽  
Author(s):  
Jaewan Yoo ◽  
J.S. Lee ◽  
B. Kahng
Keyword(s):  
Complex Networks ◽  
Disease Spreading

Complex Networks

2009 ◽  
Author(s):  
Reuven Cohen ◽  
Shlomo Havlin
Keyword(s):  
Complex Networks
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