TY - JOUR
T1 - Convergence to equilibrium in competitive Lotka–Volterra and chemostat systems
AU - Champagnat, Nicolas
AU - Jabin, Pierre-Emmanuel
AU - Raoul, Gaël
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-l1-007-43
Acknowledgements: The first author is grateful to Michel Benaim for useful discussions on the dynamical systems context of the problem. G.R. has been supported by Award No. KUK-l1-007-43 of Peter A. Markowich, made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
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. © 2010 Académie des sciences.
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. © 2010 Académie des sciences.
UR - http://hdl.handle.net/10754/597876
UR - https://linkinghub.elsevier.com/retrieve/pii/S1631073X10003225
UR - http://www.scopus.com/inward/record.url?scp=78649930816&partnerID=8YFLogxK
U2 - 10.1016/j.crma.2010.11.001
DO - 10.1016/j.crma.2010.11.001
M3 - Article
SN - 1631-073X
VL - 348
SP - 1267
EP - 1272
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 23-24
ER -