Our aim is to model the dynamics of social networks, which comprises the problem of how people get to know each other, like each other, detest each other, etc. Most existing models are stochastic in nature and, obviously, based on random events. Our approach is deterministic and based on ordinary differential equations. This should not be seen as a challenge to stochastic models, but rather as a complement.
@article{bwmeta1.element.bwnjournal-article-amcv12i4p545bwm,
author = {Pearson, David and McCartney, Mark},
title = {Dynamics of social networks: A deterministic approach},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {12},
year = {2002},
pages = {545-551},
zbl = {1101.91355},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv12i4p545bwm}
}
Pearson, David; McCartney, Mark. Dynamics of social networks: A deterministic approach. International Journal of Applied Mathematics and Computer Science, Tome 12 (2002) pp. 545-551. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv12i4p545bwm/
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