Arnaud Ducrot
Arnaud Ducrot
Professeur de mathématiques, Université Le Havre Normandie
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Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
A Ducrot, T Giletti, H Matano
Transactions of the American Mathematical Society 366 (10), 5541-5566, 2014
Travelling wave solutions for an infection-age structured model with diffusion
A Ducrot, P Magal
Proceedings of the Royal Society of Edinburgh: Section A Mathematics 139 (03 …, 2009
Travelling wave solutions for an infection-age structured epidemic model with external supplies
A Ducrot, P Magal
Nonlinearity 24 (10), 2891, 2011
Travelling wave solutions in multigroup age-structured epidemic models
A Ducrot, P Magal, S Ruan
Archive for rational mechanics and analysis 195 (1), 311-331, 2010
An age-structured within-host model for multistrain malaria infections
RD Demasse, A Ducrot
SIAM Journal on Applied Mathematics 73 (1), 572-593, 2013
Travelling waves for integro-differential equations in population dynamics
N Apreutesei, A Ducrot, V Volpert
Discrete Cont. Dyn. Syst. Ser. B 11, 541-561, 2009
Essential growth rate for bounded linear perturbation of non-densely defined Cauchy problems
A Ducrot, Z Liu, P Magal
Journal of Mathematical Analysis and applications 341 (1), 501-518, 2008
Reaction-diffusion problems with non-Fredholm operators
A Ducrot, M Marion, V Volpert
Advances in Differential Equations 13 (11-12), 1151-1192, 2008
Systemes de réaction–diffusion sans propriété de Fredholm
A Ducrot, M Marion, V Volpert
Comptes Rendus Mathematique 340 (9), 659-664, 2005
A metapopulation model for malaria with transmission-blocking partial immunity in hosts
J Arino, A Ducrot, P Zongo
Journal of mathematical biology 64 (3), 423-448, 2012
Competition of species with intra-specific competition
N Apreutesei, A Ducrot, V Volpert
Mathematical Modelling of Natural Phenomena 3 (4), 1-27, 2008
Qualitative analysis and travelling wave solutions for the SI model with vertical transmission
A Ducrot, M Langlais, P Magal
Communications on Pure & Applied Analysis 11 (1), 97, 2012
An in vitro cell population dynamics model incorporating cell size, quiescence, and contact inhibition
A Ducrot, F Le Foll, P Magal, H Murakawa, J Pasquier, GF Webb
Mathematical Models and Methods in Applied Sciences 21 (supp01), 871-892, 2011
Hopf bifurcation in a size-structured population dynamic model with random growth
J Chu, A Ducrot, P Magal, S Ruan
Journal of Differential Equations 247 (3), 956-1000, 2009
Integrated semigroups and parabolic equations. Part I: linear perburbation of almost sectorial operators
A Ducrot, P Magal, K Prevost
Journal of Evolution Equations 10 (2), 263-291, 2010
Travelling wave solutions for a scalar age-structured equation
A Ducrot
Discrete & Continuous Dynamical Systems-B 7 (2), 251, 2007
Asymptotic behaviour of travelling waves for the delayed Fisher–KPP equation
A Ducrot, G Nadin
Journal of Differential Equations 256 (9), 3115-3140, 2014
Spatial propagation for a two component reaction–diffusion system arising in population dynamics
A Ducrot
Journal of differential equations 260 (12), 8316-8357, 2016
A mathematical model for malaria involving differential susceptibility, exposedness and infectivity of human host
A Ducrot, SB Sirima, B Some, P Zongo
Journal of biological dynamics 3 (6), 574-598, 2009
Spreading speeds for multidimensional reaction–diffusion systems of the prey–predator type
A Ducrot, T Giletti, H Matano
Calculus of Variations and Partial Differential Equations 58 (4), 1-34, 2019
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