Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



+44 (0)20 7594 1474p.degond Website CV




6M38Huxley BuildingSouth Kensington Campus






BibTex format

author = {Degond, P and Liu, J-G and Pego, RL},
doi = {10.1007/s00332-016-9336-3},
journal = {Journal of Nonlinear Science},
pages = {379--424},
title = {Coagulation-fragmentation model for animal group-size statistics},
url = {},
volume = {27},
year = {2016}

RIS format (EndNote, RefMan)

AB - We study coagulation-fragmentation equations inspired by a simple modelproposed in fisheries science to explain data for the size distribution ofschools of pelagic fish. Although the equations lack detailed balance and admitno $H$-theorem, we are able to develop a rather complete description ofequilibrium profiles and large-time behavior, based on recent developments incomplex function theory for Bernstein and Pick functions. In thelarge-population continuum limit, a scaling-invariant regime is reached inwhich all equilibria are determined by a single scaling profile. This universalprofile exhibits power-law behavior crossing over from exponent $-\frac23$ forsmall size to $-\frac32$ for large size, with an exponential cut-off.
AU - Degond,P
AU - Liu,J-G
AU - Pego,RL
DO - 10.1007/s00332-016-9336-3
EP - 424
PY - 2016///
SN - 1432-1467
SP - 379
TI - Coagulation-fragmentation model for animal group-size statistics
T2 - Journal of Nonlinear Science
UR -
UR -
UR -
VL - 27
ER -