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Characterization of extremal epidemic networks with diffusion characters
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
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
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]
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
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]
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
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]
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]
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]
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
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
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
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]
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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