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Over the past couple of decades, a large amount of literature has been devoted to the mathematical modelling of self-organizing populations, based on forces, external and/or internal at short-range and/or long-range, acting at the individual level.
The main interest has been in catching the main features of the interaction at the lower scale of single individuals, showing evident stochasticity, that are responsible, at a larger scale, for a more complex behaviour that leads to the formation of aggregating patterns. Here we discuss the modelling of the dynamics of some self-organization populations at different scales and the role of stochasticty, via some examples in biology, medicine and evolution theory. |
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