Marc Artzrouni

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Laboratory of Mathematics and its Applications of PAU (LMAP)


Director of the LMAP

Gilles CARBOU (gilles.carbou @


Administrative management (gestion-lmap @


Secretary (secretariat-lmap @

Tél : 05 59 40 75 13
05 59 40 74 32

Fax : 05 59 40 75 55

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Marc ArtzrouniProfessor

  • Analysis, Geometry and Applications

  • Bâtiment IPRA - Université de Pau et des Pays de l'Adour, Avenue de l'Université - BP 1155, 64013 PAU CEDEX
  • marc.artzrouni @


1. "Habilitation" in Applied Mathematics ,  (university professorship qualification).  University of Pau, France. 1992.  Title: Mathematical Methods in Population Dynamics: Application to Demography, Biology, and Economics. 

2.  Ph.D., Mathematics Applied to the Social Sciences, University Paris V Sorbonne, France, 1981. Title: Iterative Processes in Population Dynamics: Application to Easterlin's theory.

3. Graduate Degree in Demography, Institut de Démographie de l'Université de Paris, 1979. 

4. Master's Degree in Applied Mathematics  (Probability/statistics, Operations Research), University of Grenoble, France, 1978.

5. Bachelor's Degree in Mathematics,  University of Grenoble, France, 1976.


Chairman, "Comité d'Expert" - Departmental hiring committee. 


Mathematical modeling in biology, population dynamics,  economics.  Operations research.  Dynamical systems.  

Research interests

Population dynamics, mathematical epidemiology, economics, mathematical biology. 


PhD Student, Vivient Kamla, 2008, University of Pau, Title: A stochastic model for the spread of HIV/AIDS: an individual-based approach. 


1. "Pyrenées Maths": a student journal of mathematics published online by the University of Pau. 

2. Artificial intelligence in the teaching of mathematics.

3.  Modeling of ride-hailing. 


Selected publications, since 2000 only.

1. Mathematics

M. Artzrouni, P. Cassagnard (2017) Nerlove-Arrow: A New Solution to an Old Problem.  Journal of Optimization Theory and Applications, 172: 267-280.

 M. Artzrouni (2006) A new family of periodic functions as explicit roots of a class of polynomial equations. Australian Journal of Mathematical Analysis and Applications. Vol 3, Issue 2, 1-16.

 M. Artzrouni (2003) The local coefficient of ergodicity of a nonnegative matrix, SIAM Journal of Matrix Analysis and Applications. Vol 25, No 2, 507-516.

M. Artzrouni et O. Gavart. (2000) Non-linear matrix iterative processes and generalized coefficients of ergodicity. SIAM Journal of Matrix Analysis and Applications. Vol 2, No 4, 1343-1353.

2. Biomathematics

M. Artzrouni,  V. Leonenko, T. Mara (2015) A syringe-sharing model for the spread of HIV: Application to Omsk, Western Siberia, Mathematical Medicine and  Biology,  doi: 10.1093/imammb/dqv036.

 M. Artzrouni, N. Teichert and T. Mara (2014) A Leslie matrix model for Sicyopterus lagocephalus in  La Réunion: Sensitivity, uncertainty and research prioritization,  Mathematical Biosciences, 256: 18-27.  

 M. Artzrouni et E. Deuchert (2012)  Consistent partnership formation: Application to a sexually transmitted disease model.  Mathematical Biosciences,  235: 182-188. 

 M. Artzrouni et E. Deuchert (2010) Do men and women have the same average number of lifetime partners? Mathematical Population Studies, 17,4: 242-256.

M. Artzrouni (2009) Transmission probabilities and reproduction numbers for sexually transmitted infections with variable infectivity: Application to the spread of HIV between low- and high-activity populations,  Mathematical Population Studies, Vol 16, no 4: 266-287.

M. Artzrouni and J.P. Gouteux (2006) A parity-structured matrix model for tsetse populations. Mathematical Biosciences, Vol 204, No 2; 214-231. doi:10.1016/j.mbs.2006.08.022

M. Artzrouni (2004) Back-calculation and projections of the HIV/AIDS epidemic among homosexual/bisexual men in three European countries: evaluation of past projections and updates allowing for treatment effects. European Journal of Epidemiology 19(2); 171-179.

M. Artzrouni et JP. Gouteux. (2001) Population dynamics of sleeping sickness: A microsimulation. Simulation and Gaming, 32, 2, pp. 215-227.

M. Artzrouni et JP. Gouteux. (2001) A model of Gambian sleeping sickness with open vector populations. IMA J. Math. Appl. Medicine and Biology. 18, pp. 99-117.

JP Gouteux, M. Artzrouni, et M. Jarry (2000) Une épidémie mise en équations. La Recherche, No 335; 34-38.

3. Biology, Medicine, Epidemiology

M. Artzrouni,  C. Begg, R. Chabiniok et el. (2011)  The first international workshop on the role and impact of mathematics in medicine: A collective account.  American Journal of Translational Research, 3(5): 492:497.

M. Artzrouni et JP. Gouteux (2003) Estimating tsetse population parameters: Application of a mathematical model with density-dependence. Medical and Veterinary Entomology, 17: 272-279.

UNAIDS Reference Group on Estimates, Modelling and Projections (2002) Improved methods and assumptions for estimation of the HIV/AIDS epidemic and its impact, AIDS, 16:W1-W14.

JP. Gouteux, M. Artzrouni et M. Jarry. (2001) A model with density-dependant immigration to estimate tsetse fly population by trapping, Bulletin of Entomological Research 91: 177-183.

M. Artzrouni, et J P. Gouteux (2000) Persistance et résurgence de la maladie du sommeil à Trypanosoma brucei gambiense dans les foyers historiques : approche biomathématique d’une énigme épidémiologique. Comptes Rendus de l’Académie des Sciences. (Sciences de la vie). 323, pp. 351-364.

4. Economics, finance

M. Artzrouni et F. Tramonta (2014) The debt trap: a two-compartment train-wreck...and how to avoid it.  Journal of Policy Modeling, 36, 241-256.

M. Artzrouni (2009) The mathematics of Ponzi schemes, Mathematical Social Sciences, Vol 58, no 2: 190-201.

 J. Komlos et M. Artzrouni (2003) Un modèle démo-économique de la Révolution Industrielle, Economies et Sociétés, Série "Histoire économique quantitative", AF, no 30, 10/2003. 1807-1821.