TY - JOUR
T1 - Convergence vers l'équilibre pour des systèmes compétitifs de Lotka-Volterra et du Chémostat
AU - Champagnat, Nicolas
AU - Jabin, Pierre Emmanuel
AU - Raoul, Gaël
N1 - Funding Information:
The first author is grateful to Michel Benaïm for useful discussions on the dynamical systems context of the problem. G.R. has been supported by Award No. KUK-I1-007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST).
PY - 2010/12
Y1 - 2010/12
N2 - We study a generalized system of ODE's modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in Jabin and Raoul [8] and Champagnat and Jabin (2010) [2] to prove the convergence to a unique stable equilibrium.
AB - We study a generalized system of ODE's modeling a finite number of biological populations in a competitive interaction. We adapt the techniques in Jabin and Raoul [8] and Champagnat and Jabin (2010) [2] to prove the convergence to a unique stable equilibrium.
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U2 - 10.1016/j.crma.2010.11.001
DO - 10.1016/j.crma.2010.11.001
M3 - Article
AN - SCOPUS:78649930816
VL - 348
SP - 1267
EP - 1272
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
SN - 1631-073X
IS - 23-24
ER -