Overall Objectives
Scientific Foundations
New Results
Contracts and Grants with Industry
Other Grants and Activities


Major publications by the team in recent years

M. Adimy, F. Crauste, A. Halanay, M. Neamţu, D. Opriş.
Stability of limit cycles in a pluripotent stem cell dynamics model, in: Chaos, Solitons and Fractals, 2006, vol. 27, no 4, p. 1091–1107.
B. Ainseba.
Age-dependent population dynamics diffusive systems, in: Discrete and Continuous Dynamical Systems- Series B, 2004, vol. 4, no 4, p. 1233–1247.
B. Ainseba, S. Anita, M. Langlais.
Internal stabilizability of some diffusive models, in: Journal of Mathematical Analysis and Applications, 2002, vol. 265, p. 91–102.
B. Ainseba, F. Heiser, M. Langlais.
A mathematical analysis of a predator-prey system in a highly heterogeneous environment, in: Differential and Integral Equations, 2002, vol. 15, no 4, p. 385-404.
B. Ainseba, A. Noussair.
Existence and uniqueness of a character dependence and spatial structure population dynamics kinetic model, in: J. of Differential Equations, 2003, vol. 187, p. 293–309.
K. Berthier, M. Langlais, P. Auger, D. Pontier.
Dynamics of a feline virus with two transmission modes within exponentially growing host populations, in: Proc. R. Soc. London, série B, 2000, vol. 267, p. 2049–2056.
J.-B. Burie, A. Calonnec, M. Langlais.
Modeling of the Invasion of a fungal Disease over a vineyard, in: Mathematical Modeling of Biological Systems, volume II, Birkhauser, 2008, p. 12-24
F. Courchamp, M. Langlais, G. Sugihara.
Control of rabbits to protect island birds from cat predation, in: Journal of Biological Conservation, 1999, vol. 89, p. 219–225.
W. Fitzgibbon, M. Langlais.
Weakly coupled hyperbolic systems modeling the circulation of infectious disease in structured populations, in: Math. Biosciences, 2000, vol. 165, p. 79–95.
W. Fitzgibbon, M. Langlais, J. Morgan.
A reaction-diffusion system modeling direct and indirect transmission of a disease, in: DCDS B, 2004, vol. 4, p. 893–910.
W. Fitzgibbon, M. Langlais, J. Morgan.
A Reaction-Diffusion system on non coincident spatial domains modeling the circulation of a disease between two host populations, in: Differential and Integral Equations, 2004, vol. 17, p. 781–802.
W. Fitzgibbon, M. Langlais, J. Morgan.
Eventually uniform bounds for a class of quasipositive Reaction Diffusion systems, in: Japan J. Ind. Appl. Math., 1999, vol. 16, p. 225–241.
S. Gaucel, M. Langlais, D. Pontier.
Invading introduced species in insular heterogeneous environments, in: Ecological Modeling, 2005, vol. 18, p. 62-75.
J. Henry.
For which objective is birth process an optimal feedback in age structured population dynamics?, in: Discrete and Continuous Dynamical systems B, 2007, vol. 8, no 1, p. 107-114.
J. Henry, A. Ramos.
Factorization of second order elliptic boundary value problems by dynamic programming, in: Nonlinear Analysis, 2004, no 59, p. 629–647.
M. Langlais, F. Milner.
Existence and uniqueness of solutions for a diffusion model of host-parasite dynamics, in: J. Math. Anal. and Applications, 2003, vol. 279, p. 463–474.

Publications of the year

Doctoral Dissertations and Habilitation Theses

D. Picart.
Modélisation et estimation des paramètres liés au succès reproducteur d'un ravageur de la vigne (Lobesia botrana DEN. & SCHIFF.), Université Sciences et Technologies - Bordeaux I, 02 2009, Ph. D. Thesis.
P. Zongo.
Modélisation mathématique de la dynamique de la transmission du paludisme, université de Ouagadougou, 05 2009, Ph. D. Thesis.

Articles in International Peer-Reviewed Journal

B. Ainseba, C. Benosman, P. Magal.
A model for ovine brucellosis incorporating direct and indirect transmission, in: Journal Biological Dynamics, 2009, p. TJBD-2009-0014.R1
S. Anita, W. Fitzgibbon, M. Langlais.
Global Existence and internal stabilization for a reaction-diffusion system posed on non coincident spatial domains, in: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES B, 2009-06-01, vol. 11, p. 805-822
S. Anita, M. Langlais.
Stabilization strategies for some reaction-diffusion systems, in: Nonlinear Analysis Series: Real World Applications, 2009, vol. 10, p. 345-357
N. Apreutesei, A. Ducrot, V. Volpert.
Travelling Waves for Integro-differential Equations, in: Discrete and Continuous Dynamical Systems: Series B, 2009, p. 541–561
B. Aylaj, A. Noussair.
Trajectory analysis of nonlinear kinetic models of population dynamics of several species, in: Mathematical and Computer Modelling, 2009-06-01, vol. 11-12, p. 2094-2103
B. Aylaj, A. Noussair.
Global weak solution for a multi-stage physiologically structured population model with resource interaction, in: Nonlinear Analysis: Real World Applications, 2009-03-27, in press p
A. Ben Abda, J. Henry, F. Jday.
Missing boundary data reconstruction by the factorization method, in: Comptes Rendus de l Académie des Sciences - Series I - Mathematics, 2009, vol. 347, p. 501-504
J. Burie, A. Ducrot.
Travelling wave solutions for some models in phytopathology, in: Nonlinear Analysis Real World Applications, 2009, vol. 10, p. 2307-2325
J. Chu, A. Ducrot, P. Magal, S. Ruan.
Hopf bifurcation in a size structured population dynamic model with random growth, in: Journal of Differential Equations, 2009, p. 1-45 DOI: 10.1016/j.jde.2009.04.003
A. Ducrot, P. Magal, S. Ruan.
Travelling Wave Solutions in Multigroup Age-Structured Epidemic Models, in: Archive for Rational Mechanics and Analysis, 2009, p. 1-21.
A. Ducrot, S. Sirima, B. Some, P. Zongo.
A mathematical model for malaria involving differential susceptibility, exposedness and infectivity of human host, in: Journal of Biological Dynamics, 2009, p. 1-25
A. Ducrot, P. Magal, K. Prevost.
Integrated semigroups and parabolic equations. Part I: linear perburbation of almost sectorial operators, in: Journal of Evolution Equations, 2009, p. 1-29
J. El Ghordaf, H. Hbid, E. Sanchez, M. Langlais.
On the evolution of spatially distributed urban populations: Modelling and mathematical analysis, in: Nonlinear Analysis Real World Applications, 2009, vol. 10, p. 2945-2960
F. Hilker, M. Langlais, H. Malchow.
The Allee Effect and Infectious Diseases: Extinction, Multistability, and the (Dis-)Appearance of Oscillations, in: The American Naturalist, 2009-01-05, vol. 173, p. 72-88
C. Kou, M. Adimy, A. Ducrot.
On the dynamics of an impulsive model of hematopoiesis, in: Mathematical Modelling of Natural Phenomena, 2009, p. 68-91
P. Magal, A. Ducrot.
Travelling wave solutions for an infection-age structured model with diffusion, in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2009, vol. 139, p. 459-482
P. Magal, A. Ducrot, S. Ruan.
Travelling Wave Solutions in Multi-group Age- Structured Epidemic Models, in: Archive for Rational Mechanics and Analysis, 2010, vol. 195, 311–331 p

International Peer-Reviewed Conference/Proceedings

J. Henry, B. Louro, M. D. C. Soares.
Factorization by Invariant Embedding of a Boundary Value Problem for the Laplace Operator, in: System Modeling and Optimization 23rd IFIP TC 7 Conference, Cracow Pologne, A. Korytowski, K. Malanowski, W. Mitkowski, M. Szymkat (editors), Springer-Verlag;Springer (Kluwer Academic Publishers), 2010, p. pp 282-292

References in notes

M. Adimy, F. Crauste.
Global stability of a partial differential equation with distributed delay due to cellular replication, in: Nonlinear Analysis, 2003, vol. 54, no 8, p. 1469–1491.
M. Adimy, F. Crauste.
Un modèle non-linéaire de prolifération cellulaire : extinction des cellules et invariance, in: C. R. Acad. Sci. Paris, 2003, vol. 336, p. 559–564.
M. Adimy, F. Crauste.
Existence, positivity and stability for a nonlinear model of cellular proliferation, in: Nonlinear Analysis: Real World Applications, 2005, vol. 6, no 2, p. 337–366.
B. Ainseba, W. Fitzgibbon, M. Langlais, J. Morgan.
An application of homogenization techniques to population dynamics models, in: Communications on Pure and Applied Analysis, 2002, vol. 1, p. 19–33.
S. Anita.
Analysis and control of age-dependent population dynamics, Kluwer academic publisher, 2000.
M. Bendhamane, M. Langlais, M. Saad.
On some anisotropic reaction-diffusion systems with L1 -data modeling the propagation of an epidemic disease, in: Nonlinear Analysis, Series, Theory and Methods, 2003, vol. 54, p. 617–636.
K. Berthier, M. Langlais, P. Auger, D. Pontier.
Dynamics of a feline virus with two transmission modes within exponentially growing host populations, in: Proc. R. Soc. London, série B, 2000, vol. 267, p. 2049–2056.
C. Bouloux, M. Langlais, P. Silan.
A marine host-parasite model with direct biological cycle and age structure, in: Ecological Modeling, 1998, vol. 107, p. 73–86.
J.-B. Burie, A. Calonnec, A. Ducrot.
Singular Perturbation Analysis of travelling Waves for a Model in Phytopathology, in: Mathematical Modeling of Natural Phenomena, 2006, vol. 1.
W. Fitzgibbon, M. Langlais, F. Marpeau, J. Morgan.
Modeling the circulation of a disease between two host populations on non coincident spatial domains, in: Biol. Invasions, 2005, vol. 7, p. 863–875.
E. Fromont, M. Langlais, D. Pontier.
Effect of spatial heterogeneity at the inter-population scale on the dynamics of FeLV, in: J. Theoret. Biol., 2003, vol. 223, p. 465–475.
S. Gaucel, M. Langlais.
Finite time and global existence for solutions to some singular reaction-diffusion systems, in: Discrete Contin. Dyn. Syst. B, 2007, vol. 8, p. 61-72.
J. Henry, J.-P. Yvon.
On the use of space invariant embedding to solve optimal control problems for second order elliptic equations, in: System modeling and Optimization, Chapman and Hall, 1996, p. 195–202.
F. Hilker, M. Lewis, H. Seno, M. Langlais, H. Malchow.
Pathogens can slow down or reverse invasion fronts of their hosts, in: Biol. Invasions, 2005, vol. 7, p. 817–832.
M. Iannelli.
Mathematical Theory of Age-Structured Population Dynamics, Giardini Editori e Stampatori, Pisa, 1995.
J.-L. Lions.
Contrôle Optimal de Systèmes Gouvernés par des Équations aux Dérivées Partielles, Dunod, 1968.
M. C. Mackey, L. Glass.
From Clocks to Chaos: The Rhythms of Life, Princeton University Press, Princeton, 1988.
M. C. Mackey.
Unified hypothesis of the origin of aplastic anaemia and periodic hematopoïesis, in: Blood, 1978, vol. 51, p. 941–956.
J. Moreau, B. Benrey, D. Thiéry.
Grape variety affects larval performance and also female reproductive performance of the European grapevine moth, in: Bull. Entom. Research., 2006, vol. 96, no 2, p. 205-212.
M. Ouarit, J.-P. Yvon, J. Henry.
Optimal weighting design for distributed parameter system estimation, in: Optimal Control Applications and Methods, 2001, vol. 22, no 1, p. 37–49.
D. Pontier, F. Courchamp, E. Fromont, M. Langlais.
L'impact de la présence du chat sur les populations d'oiseaux insulaires est-il uniquement négatif ?, Institut Français de la Recherche et de la Technologie Polaire, 1999, Rapport d'activité.
S. Rubinow, J. Lebowitz.
A mathematical model of neutrophil production and control in normal man, in: J. Math. Biol., 1975, vol. 1, p. 187–225.
F. Sauvage, M. Langlais, D. Pontier.
Predicting the emergence of human hantavirus disease using a combination of viral dynamics and rodent demographic patterns, in: Epidemiology and Infection, 2007, vol. 136, p. 46–56.
C. Suppo, J.-M. Naulin, M. Langlais, M. Artois.
A modeling approach of vaccination and sterilization programms for rabies control in fox populations, in: Proc. R. Soc. London, série B, 2000, vol. 267, p. 1575–1582.
D. Thiéry, J. Moreau.
Relative performance of European grapevine mothb(Lobesia botrana) on grapes and other hosts, in: Oecologia, 2005, vol. 143, p. 548-557.
D. Thiéry, J. Moreau.
Grape cultivar affects larval and female fitness of the European grapevine moth, Lobesia botrana (Lepidoptera: tortricidae), in: Integrated protection in Viti., 2006, p. 131-138.
G. Webb.
Theory of age nonlinear population dynamics, Marcel Dekker, New York, 1985.
C. Wolf, F. Sauvage, D. Pontier, M. Langlais.
A multi–patch model with periodic demography for a bank vole - Hantavirus system with variable maturation rate, in: Math. Population Studies, 2006, vol. 13, no 3, p. 153–177.
C. Wolf.
A nonlinear and nonlocal mathematical problem modeling the propagation of a Hantavirus in structured bank vole populations, in: Discrete and Continuous Dynamical Systems, B, 2004, vol. 4, p. 1065–1089.