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anomalous diffusion
Human mobility, networks and disease dynamics on a global scale
D Brockmann
Bunde A., Caro J., Kärger J., Vogl G. (eds) Diffusive Spreading in Nature, Technology and Society. Springer, Cham.
Disease dynamics is a complex phenomenon and in order to address these questions expertises from many disciplines need to be integrated. One method …
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Human mobility and spatial disease dynamics
D Brockmann
In Reviews of Nonlinear Dynamics and Complexity, H.G. Schuster (Ed.).
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The scaling laws of human travel
D Brockmann
,
L Hufnagel
,
T Geisel
Nature 439 (7075), p. 462-465
The dynamic spatial redistribution of individuals is a key driving force of various spatiotemporal phenomena on geographical scales. It can …
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Lévy flights in inhomogeneous media
D Brockmann
,
T Geisel
Phys. Rev. Lett. 90, 170601
We investigate the impact of external periodic potentials on superdiffusive random walks known as Lévy flights and show that even strongly …
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Lévy flights in external force fields: from models to equations
D Brockmann
,
I M Sokolov
Chemical Physics, 284 (1–2), 409--421
We consider different generalizations of the Fokker–Planck equation (FPE) devised to describe Lévy processes in potential force fields. We show that …
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