Skip to Main content Skip to Navigation

hal-00999808v2  Journal articles
Alain RapaportDenis DochainJérôme Harmand. Practical coexistence in the chemostat with arbitrarily close growth functions
Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, INRIA, 2008, 9 (Spécial issue of Claude Lobry), pp.231-243
inria-00000873v1  Journal articles
Alain RapaportFrédéric GrognardFrederic Mazenc. Polytopic Lyapunov functions for persistence analysis of competing species
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2007, 8 (1), pp.73-93. ⟨10.3934/dcdsb.2007.8.73⟩
hal-01189290v1  Journal articles
Claude LobryFrederic MazencAlain Rapaport. Persistence in ratio-dependent models of consumer-resource dynamics
Electronic Journal of Differential Equations, Texas State University, Department of Mathematics, 2007, Conf 15, pp.211-220
hal-01001120v1  Journal articles
Claude LobryFrederic MazencAlain Rapaport. Persistence in ecological models of competition for a single resource
Comptes Rendus Mathématique, Elsevier Masson, 2005, 340 (3), pp.199-204. ⟨10.1016/j.crma.2004.12.021⟩
hal-00433549v1  Journal articles
D. MazouniJérôme HarmandAlain RapaportHassan Hammouri. Optimal time switching control for multi-reaction batch process
Optimal Control Applications and Methods, Wiley, 2009, 31 (4), pp.289-301. ⟨10.1002/oca.905⟩
hal-01808607v2  Journal articles
Maria Crespo MoyaJulien OrsoniJérôme BortoliAlain RapaportAntoine Rousseau et al.  Optimal strategies to refill hydric reservoirs with reused water – application to the Jaunay Lake case study
Journal of Water Science / Revue des Sciences de l'Eau, Lavoisier (Hermes Science Publications), 2018, 31 (4), pp.377-385. ⟨10.7202/1055595ar⟩
hal-01300953v1  Journal articles
Hector Ramirez CabreraAlain RapaportVictor Riquelme. Optimal feedback synthesis and minimal time function for the bioremediation of water resources with two patches
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2016, 54 (3), pp.1697-1718. ⟨10.1137/140989443⟩
hal-00858535v1  Journal articles
Adriana PiazzaAlain Rapaport. Optimal control of renewable resources with alternative use
Mathematical and Computer Modelling, Elsevier, 2009, 50 (1-2), pp.260-272. ⟨10.1016/j.mcm.2008.12.009⟩
hal-01459969v2  Journal articles
Pedro GajardoJérôme HarmandHector Ramirez CabreraAlain RapaportVictor Riquelme et al.  Modeling and control of in-situ decontamination of large water resources
ESAIM: Proceedings and Surveys, EDP Sciences, 2017, Emerging Trends in Applied Mathematics and Mechanics, Oana Silvia Serea & Walter Briec Editors, 57, pp.70-85. ⟨10.1051/proc/201657070⟩
hal-00857823v1  Journal articles
Pedro GajardoHector RamirezAlain Rapaport. Minimal time sequential batch reactors with bounded and impulse controls for one or more species
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2008, 47 (6), pp.2827-2856. ⟨10.1137/070695204⟩
hal-00798651v3  Journal articles
Térence BayenAlain RapaportMatthieu Sebbah. Minimal Time Control of the Two Tanks Gradostat Model Under a Cascade Input Constraint
SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2014, 52 (4), pp.2568-2594. ⟨10.1137/130950379⟩
hal-00529001v1  Journal articles
Alain RapaportDenis Dochain. Minimal time control of fed-batch processes with growth functions having several maxima
IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2011, 56 (11), pp.2671 - 2676. ⟨10.1109/TAC.2011.2159424⟩
hal-00857826v1  Journal articles
Bart HaegemanAlain Rapaport. How flocculation can explain coexistence in the chemostat
Journal of Biological Dynamics, Taylor & Francis Open, 2008, 2 (1), pp.1-13. ⟨10.1080/17513750801942537⟩
hal-00923826v1  Journal articles
Alain RapaportIhab HaidarJérôme Harmand. Global dynamics of the buffered chemostat for a general class of response functions
Journal of Mathematical Biology, Springer Verlag (Germany), 2015, 71 (1), pp.69-98. ⟨10.1007/s00285-014-0814-7⟩
hal-01087946v2  Journal articles
Alain RapaportTérence BayenMatthieu SebbahAndres Donoso-BravoAlfredo Torrico. Dynamical modelling and optimal control of landfills
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2016, 26 (5), pp.901-929. ⟨10.1142/S0218202516500214⟩
hal-00613616v2  Journal articles
Ihab HaidarFrédéric GérardAlain Rapaport. Comparison of numerical simulations of reactive transport and chemostat-like models
Computational Ecology and Software, International Society of Computational Ecology, 2011, 1 (4), pp.224-239
hal-00857811v1  Journal articles
Alain RapaportJérôme HarmandFrederic Mazenc. Coexistence in the design of a series of two chemostats
Nonlinear Analysis: Real World Applications, Elsevier, 2008, 9 (3), pp.1052-1067. ⟨10.1016/j.nonrwa.2007.02.003⟩