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@article{Degond:2017:10.3934/nhm.2017009,
author = {Degond, PAA and Engel, M},
doi = {10.3934/nhm.2017009},
journal = {Networks and Heterogeneous Media},
pages = {217--243},
title = {Numerical approximation of a coagulation-fragmentation model for animal group size statistics},
url = {http://dx.doi.org/10.3934/nhm.2017009},
volume = {12},
year = {2017}
}

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TY  - JOUR
AB  - We study numerically a coagulation-fragmentation model derivedby Niwa [17] and further elaborated by Degond et al.  [5].  In [5] a unique equi-librium distribution of group sizes is shown to exist in both cases of continuousand discrete group size distributions.  We provide a numerical investigation ofthese equilibria using three different methods to approximate the equilibrium:a recursive algorithm based on the work of Ma et.  al.  [12], a Newton methodand the resolution of the time-dependent problem.  All three schemes are val-idated by showing that they approximate the predicted small and large sizeasymptotic behaviour of the equilibrium accurately.  The recursive algorithm isused to investigate the transition from discrete to continuous size distributionsand  the  time  evolution  scheme  is  exploited  to  show  uniform  convergence  toequilibrium in time and to determine convergence rates.
AU  - Degond,PAA
AU  - Engel,M
DO  - 10.3934/nhm.2017009
EP  - 243
PY  - 2017///
SN  - 1556-181X
SP  - 217
TI  - Numerical approximation of a coagulation-fragmentation model for animal group size statistics
T2  - Networks and Heterogeneous Media
UR  - http://dx.doi.org/10.3934/nhm.2017009
UR  - http://hdl.handle.net/10044/1/44307
VL  - 12
ER  -

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