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Characterization of extremal epidemic networks with diffusion characters

Daniel Ashlock, Colin Lee
2008 2008 IEEE Symposium on Computational Intelligence in Bioinformatics and Computational Biology  
These networks represent extremal cases of network behavior.  ...  The diffusion character matrix analysis allows us to place several metric-like dissimilarity measure on the space of graphs with a fixed number of nodes.  ...  Diffusion character based measures of the difference between pairs of networks are computed by first sorting the diffusion character matrices in some fashion.  ... 
doi:10.1109/cibcb.2008.4675789 dblp:conf/cibcb/AshlockL08 fatcat:zk4lzwt36rc65fi2qxekjfnrmy

Comparison of evolved epidemic networks with diffusion characters

Daniel Ashlock, Elisabeth Shiller, Colin Lee
2011 2011 IEEE Congress of Evolutionary Computation (CEC)  
A pseudometric on pairs of networks based on diffusion characters is used to assess the networks distribution in the space of networks.  ...  The diffusion character based pseudometric separates the networks for some pairs of profiles neatly while others apparently overlap to some degree.  ...  Diffusion Characters This study applies a technique for comparing the similarity of or approximate difference between networks based on diffusion characters.  ... 
doi:10.1109/cec.2011.5949698 dblp:conf/cec/AshlockSL11 fatcat:qs3dgnn4wjc7rdaijs5jvwxfi4

Invasion Threshold in Heterogeneous Metapopulation Networks

Vittoria Colizza, Alessandro Vespignani
2007 Physical Review Letters  
We study the dynamics of epidemic and reaction-diffusion processes in metapopulation models with heterogeneous connectivity pattern.  ...  We provide an explicit expression of the threshold that sets a critical value of the diffusion/mobility rate below which the epidemic is not able to spread to a macroscopic fraction of subpopulations.  ...  The ratio hki 2 =hkk ÿ 1i is extremely small in heavy-tailed networks, and it is vanishing in the limit of infinite network size.  ... 
doi:10.1103/physrevlett.99.148701 pmid:17930732 fatcat:sehwdpzvy5htno3xujdx7bbqly

The role of vegetables trade network in global epidemics [article]

Yong Min, Jie Chang, Xiaogang Jin, Yang Zhong, Ying Ge
2011 arXiv   pre-print
The heterogeneous weight distribution and multi-scale activity of intermediary networks affects the diffusion, proliferation and extinction of epidemics.  ...  Our analysis provided the first inspect of global epidemics mediated by trade networks for improved control and immunity strategies in the future.  ...  Global epidemic would be extremely relevant in the case of the emergence of a new disease that in general spreads rapidly with substantial transmission occurring before the onset of case-defining symptoms  ... 
arXiv:1110.1724v1 fatcat:4k2yau7ei5cixjoqprmdfiifnq

Epidemic modeling in complex realities

Vittoria Colizza, Marc Barthélemy, Alain Barrat, Alessandro Vespignani
2007 Comptes rendus. Biologies  
of epidemic diffusion.  ...  In this paper, we review recent progresses that integrate complex systems and networks analysis with epidemic modelling and focus on the impact of the various complex features of real systems on the dynamics  ...  In contrast with the homogeneous random graphs characterized by nodes having a typical degree k close to the average k , such networks are structured in a hierarchy of nodes with a few nodes having very  ... 
doi:10.1016/j.crvi.2007.02.014 pmid:17502293 fatcat:aja22okfhrb7phrlkwfptb3zuu

Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: theory and simulations [article]

Vittoria Colizza, Alessandro Vespignani
2007 arXiv   pre-print
We show that along with the usual single population epidemic threshold the metapopulation network exhibits a global threshold for the subpopulation invasion.  ...  The spatial structure of populations is a key element in the understanding of the large scale spreading of epidemics.  ...  We are grateful to Alain Barrat, Marc Barthelemy and Romualdo Pastor-Satorras for useful discussions during all stages of preparation of this work.  ... 
arXiv:0706.3647v2 fatcat:d3xs6scanbcfji4n23sa62t55u

Epidemic modeling in metapopulation systems with heterogeneous coupling pattern: Theory and simulations

Vittoria Colizza, Alessandro Vespignani
2008 Journal of Theoretical Biology  
We show that along with the usual single population epidemic threshold the metapopulation network exhibits a global threshold for the subpopulation invasion.  ...  The spatial structure of populations is a key element in the understanding of the large-scale spreading of epidemics.  ...  Acknowledgments We are grateful to Alain Barrat, Marc Barthelemy and Romualdo Pastor-Satorras for useful discussions during all stages of preparation of this work.  ... 
doi:10.1016/j.jtbi.2007.11.028 pmid:18222487 fatcat:fo5yz6lpbrc2fkpas5hoy62t5e

Epidemics and immunization in scale-free networks [chapter]

Romualdo Pastor-Satorras, Alessandro Vespignani
2004 Handbook of Graphs and Networks  
Many models map this pattern in terms of networks, in which nodes represent individuals and links represent the possible contacts along which the epidemic diffuses.  ...  As a real world example of epidemic spreading occurring on SF connectivity patterns, we shall consider the diffusion of computer viruses.  ... 
doi:10.1002/3527602755.ch5 fatcat:7ejskanperdgrcqorfvwjxdhxa

Epidemics and immunization in scale-free networks [article]

Romualdo Pastor-Satorras, Alessandro Vespignani
2002 arXiv   pre-print
In particular, we want to show the different epidemiological framework originated by the lack of any epidemic threshold and how this feature is rooted in the extreme heterogeneity of the scale-free networks  ...  In this chapter we want to provide a review of the main results obtained in the modeling of epidemic spreading in scale-free networks.  ...  Many models map this pattern in terms of networks, in which nodes represent individuals and links represent the possible contacts along which the epidemic diffuses.  ... 
arXiv:cond-mat/0205260v1 fatcat:2jxlqjsiu5fmpdj4bumhxq3jgi

Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods [article]

Giulia Bertaglia, Lorenzo Pareschi
2020 arXiv   pre-print
Several numerical tests for simple epidemic network structures are reported and confirm the ability of the model to correctly describe the spread of an epidemic.  ...  Finally, the model is solved numerically on the network through a finite-volume IMEX method able to maintain the consistency with the diffusive limit without restrictions due to the scaling parameters.  ...  Furthermore, networks (or graphs) are extremely flexible tools for representing complex systems of interacting components.  ... 
arXiv:2007.04019v2 fatcat:5mrt2s2q2bcmpdrz72wxpmg6vi

Fitting contact networks to epidemic behavior with an evolutionary algorithm

Daniel Ashlock, Elisabeth Shiller
2011 2011 IEEE Symposium on Computational Intelligence in Bioinformatics and Computational Biology (CIBCB)  
Earlier representations used networks with a fixed sequence of contact numbers.  ...  This study incorporates a restarting-recentering evolutionary algorithm, previously developed to locate extremal epidemic networks, together with a new representation, the toggle-delete representation,  ...  It used a tool called diffusion characters [5] to assess how different and variable the social networks were when evolved with different fitness functions.  ... 
doi:10.1109/cibcb.2011.5948466 dblp:conf/cibcb/AshlockS11 fatcat:satrkrcnsveyze63le4v7zd4ie

Capitalismo, ciberespaço e sociedade: evitando o extremismo

Marcos Barbosa de Oliveira
2015 Revista Brasileira de Epidemiologia  
viruses in epidemics.  ...  An example -that is interesting in the present context, because it has to do with cyberspace -of an internal contradiction of capitalism, which shows its non-monolithic character, is the following.  ... 
doi:10.1590/1980-5497201500040027 pmid:26982313 fatcat:bksdz2vndjbghb5bzvfovcz6y4

JPR volume 34 issue 2 Cover and Back matter

1997 Journal of Applied Probability  
Mathematical aspects of finance theory have, in the past, been scattered throughout publications in finance, economics, mathematics and statistics.  ...  Also featuring book and software reviews, Mathematical Finance offers new research on the financial applications of statistical and econometric methods; numerical analysis and computational methods; and  ...  Extremes for shot noise processes with heavy tailed amplitudes MOHLE, M.  ... 
doi:10.1017/s0021900200101214 fatcat:2x63lgnbnjggfbf4pg3iqitgrq

Research of Innovation Diffusion on Industrial Networks

Yongtai Chen, Shouwei Li
2014 Mathematical Problems in Engineering  
The factors which affect the diffusion of innovation on industrial network are the topology of industrial network and rules of diffusion.  ...  Industrial network is a complex network which has scale-free and small-world characters; its structure has some affection on threshold, length of path, enterprise's status, and information share of innovation  ...  Conflict of Interests The authors declare that there is no conflict of interests regarding the publication of this paper. Acknowledgments  ... 
doi:10.1155/2014/629279 fatcat:yowusb2wxjcdxbx45occnewplu

Epidemic Spreading in Dynamic Small World Networks [article]

Sheng Li, Meng Meng, Hongru Ma
2004 arXiv   pre-print
In this paper, we use a series of small world networks to simulate the epidemic spreading in the real world.  ...  To make our model more similar to the real world, we employ a parameter p_move to denote its moving probability, which corresponds with the general mobility of individuals in realistic social network.  ...  Acknowledgments This paper was supported by the National Science Foundation of China under Grant No.  ... 
arXiv:nlin/0411017v1 fatcat:e6p6zoxmmzdh3ecnqqhggoa2pu
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