Marc Artzrouni's Professional Home Page
Department of Mathematics - UMR CNRS 5142
University of Pau (BP 1155)
64013 Pau Cedex
tel: + 33 - (0)5 59 40 75 50
HIGHLIGHTS of ACHIEVEMENTS and INTERESTS
Research (with references to articles further
This research has resulted in 50 publications in international journals of mathematics, biomathematics, biology, epidemiology, demography, and economics/history (see list below).
III. Current/Recent activities and research
i. Economics: With Fabio Tramonta, University of Pavia:
"The debt trap: a two compartment
train wreck". With Patrice Cassagnard, University of Pau:
"The discrete Nerlove-Arrow model: Explicit solutions".
ii. Population biology: With Niels Teichert, La Réunion, "A mutlistate cyclical
Leslie matrix model for Sicyopterus lagocephalus in Réunion".
iii. Mathematics in medicine: With Vasily Leonenko, Russian Academy of Sciences, Omsk: "A continuous-time Markov chain model for the spread of HIV among drug users: Application to an urban area of Siberia".
iv. Conference: Organization of an international conference on The
Role and Impact of Mathematics in Medicine held in Paris on
10-12, June 2010.
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.
Place and Date of Birth: Greenwich, Connecticut, USA; January 17, 1954.
Marital Status: Married, two children.
Nationalities: US and French.
Languages: Native English and French (courses taught and papers written in both languages).
University of Pau (France):
“Habilitation” in Applied Mathematics ("Mathematical Tools in Population Dynamics: Application to Demography, Biology, and Economics"). December 1992. (Post Ph.D. degree based on the presentation of a body of research; required in France to become full professor and to direct Ph.D. theses).
University of Paris V (Sorbonne):
Doctorate in Applied Mathematics ("Iterative Processes in Population Dynamics: Application to Easterlin's theory"). April 1981.
University of Grenoble (France):
Master's Degree in Applied Mathematics (Statistics, Applied Algebra and Operations Research). June 1978.
Bachelor's Degree in Mathematics. June 1976.
Aug. 1986- Aug. 1988: Visiting Assistant Professor; Department of Mathematical Sciences, Clemson University, Clemson, South Carolina.
June 1984 - June 1986: Post-doc; Department of Biostatistics; School of Public Health; University of North Carolina at Chapel Hill.
Nov. 1982 - Nov. 1983: Mathematical Statistician in the Statistical Research Division of the Census Bureau (Washington, DC). Research on the census undercount.
Sept. 1981 -Sept. 1982: Postdoctoral Fellow; Department of Mathematical Sciences, Drexel University (Philadelphia, PA).INTERNSHIPS
Sept. 1978 - Oct. 1978: Summer intern with the Economic Commission for Europe at the United Nations, Geneva, Switzerland. Research on econometric models for the comparison of the gross domestic product of different countries.
Aug. 1977 - Sept. 1977: Summer intern in the Division of Statistics of the World Health Organization (WHO), Geneva. Research on a mathematical model (multiple logistic function) to estimate the risk of myocardial infarctions.PUBLICATIONS IN INTERNATIONAL JOURNALS
[a11] M. Artzrouni and 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.
[a10] M. Artzrouni, and JP. Gouteux (1999) A Model for the Spread of Sleeping Sickness, in Applied Mathematical Modeling: A Multidisciplinary Approach, D. R. Shier and K. T. Wallenius (Eds.), CRC Press, Boca Raton, FL, 1999. 71-92 .
a9] M. Artzrouni (1996) On the dynamics of the linear process Y(k)=A(k)Y(k-1) with irreducible matrices A(k). SIAM Journal of Matrix Analysis and Applications, Vol 17, No 4: 822-833.
[a8] M. Artzrouni and X. Li (1995) A note on the coefficient of ergodicity of a column allowable matrix. Linear Algebra and its Applications, 214: 93-101.
[a7] M. Artzrouni (1991) On the growth of infinite products of slowly varying primitive matrices. Linear Algebra and its Applications, 145: 33-57.
[a6] M. Artzrouni and J. Reneke (1990) Stochastic differential equations in mathematical demography: A review. Applied Mathematics and Computation, 38,1: 7-21.
[a5] M. Artzrouni (1987) On the local stability of nonautonomous difference equations in R^n, Journal of Mathematical Analysis and Applications , 122, 2: 519-537.
[a4] M. Artzrouni (1987) Conditions for asymptotically exponential solutions of linear difference equations with variable coefficients, Journal of Mathematical Analysis and Applications, 121, 1: 160-172.
[a3] M. Artzrouni (1986) On the convergence of infinite products of matrices. Linear Algebra and its Applications, 74: 11-21.
[a2] M. Artzrouni (1983) A theorem on products of matrices, Linear Algebra
and its Applications, 49: 153-159.
[a1] M. Artzrouni (1981) Les processus itératifs en dynamique des populations et la théorie d'Easterlin. Mathématiques et Sciences Humaines, 76: 33-46.
b. Mathematical biology
[b9] 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
[b8] 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.
[b7] M. Artzrouni and JP. Gouteux. (2001) Population dynamics of sleeping sickness: A microsimulation. Simulation and Gaming, 32, 2, pp. 215-227.[b6] M. Artzrouni and JP. Gouteux. (2001) A model of Gambian sleeping sickness with open vector populations. IMA J. Math. Appl. Medicine and Biology. 18, pp. 99-117.
[b5] JP Gouteux, M. Artzrouni, and M. Jarry (2000) Une épidémie mise en équations. La Recherche, No 335; 34-38.
[b4] K. Chalvet-Monfray, M. Artzrouni, JP Gouteux, et al. (1998) A two-patch model of Gambian sleeping sickness: Application to vector control strategies in a village and plantations. Acta Biotheoretica, 46: 207-222.
[b3] M. Artzrouni and JP Gouteux (1996) A Compartmental Model of Sleeping Sickness in Central Africa. Journal of Biological Systems, Vol 4, No : 459-477.
[b2] M. Artzrouni (1992) A modeled time-varying density function for the incubation period of AIDS. Journal of Mathematical Biology. 31:73-99.
[b1] M. Artzrouni (1990) On transient effects in the HIV/AIDS epidemic. Journal of Mathematical Biology, 28: 271-291.
c. Mathematical demography
[c6] M. Artzrouni (1986) Une nouvelle famille de courbes de croissance: application à la transition démographique. Population, 3: 497-509.
[c5] M. Artzrouni (1986) The rate of convergence of a generalized stable population. Journal of Mathematical Biology, 24: 405-422.
[c4] M. Artzrouni (1986) On the dynamics of a population subject to slowly changing vital rates, Mathematical Biosciences, 80: 265-290.
[c3] M. Artzrouni (1985) Generalized stable population theory. Journal of Mathematical Biology, 21: 363-381.
[c2] M. Artzrouni and R. Easterlin (1982) Birth history, age structure, and post -World War II fertility in ten developed countries: an exploratory empirical analysis. Genus, Vol. 38, 3-4: 81-99.
[c1] H. Le Bras and M. Artzrouni (1980) Interférence, indifférence, indépendance. Population, 6: 1123-1144.
d. Biology, medicine, epidemiology
[d9] 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.
[d8] JP. Gouteux, M. Artzrouni and M. Jarry. (2001) A model with density-dependant immigration to estimate tsetse fly population by trapping, Bulletin of Entomological Research 91: 177-183.
[d7] M. Artzrouni, and JP. 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.
[d6] M. Artzrouni and JP. Gouteux (1999) Un modèle de transmission de la maladie du sommeil avec population vectorielle ouverte, Annales de la Société Entomologique de France, (N.S.) 35 (suppl.) : 540-548.
[d5] O. Gavart and M. Artzrouni (1998) Estimation des taux de mortalité M et F pour l'anchois: Présentation générale et premiers résultats. Biométrie et Halieutique, Société Française de Biométrie, No 15.
[d4] JP Gouteux and M. Artzrouni (1996) Faut-il ou non un contrôle des vecteurs dans la lutte contre la maladie du sommeil? Une approche biomathématique du problème. Bulletin de la Société de Pathologie Exotique , Vol 89: 299-305.
[d3] M. Artzrouni and JP. Gouteux (1996) Control Strategies for Sleeping Sickness in Central Africa: A Model-based Approach, Tropical Medicine and International Health, Vol 1, No 6: 753-764.
[d2] M. Artzrouni (1990) Projections of the HIV/AIDS epidemic for homosexual/bisexual men in France, the Federal Republic of Germany, and the United Kingdom. European Journal of Epidemiology, Vol 6, #2: 124-135.
[d1] R.F. Wykoff, C.W. Heath, S.L. Hollis, S.T. Leonard, C.B. Quiller, J.L. Jones, M. Artzrouni, R.L. Parker (1988) The use of contact tracing to identify human immunodeficiency virus infection in a rural community. Journal of the American Medical Association, 259, 24: 3563-3566.
e. Economics, history
[e6] M. Artzrouni (2009) The Mathematics of Ponzi Schemes, Mathematical Social Sciences, Vol 58, no 2: 190-201.[e5] 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.
[e4] M. Artzrouni and J. Komlos (1996) The formation of the European state system: A spatial predatory model. Historical Methods, Vol 29, No 3: 126-134.
[e3] J. Komlos and M. Artzrouni (1995) Ein Simulationsmodell der Industriellen Revolution.Vierteljahrschrift für Sozial- und Wirtschaftsgeschichte, 81, 3:324-338.
[e2] J. Komlos and M. Artzrouni (1990) Mathematical investigations of the escape from the Malthusian trap. Mathematical Population Studies, 2 (4): 269-287.
[e1] M. Artzrouni and J. Komlos (1985) Population growth through history and the escape from the Malthusian trap: a homeostatic simulation model. Genus, 41, 3-4: 21-39.
f. Miscellaneous (epistemology)
Komlos and M. Artzrouni (1992) Etude mathématique de la sortie de trappe malthusienne. INED. Congrès et Colloques No 11.
J. Komlos and M. Artzrouni (1989) Mathematical investigations of the escape from the Malthusian trap. In published proceedings of the workshop on Reconstitution and Dynamics of Past Populations, organized by the National Institute for Demographic Studies, Paris, France. June 2-4 1989.
J. Komlos and M. Artzrouni (1986) From Malthus to Boserup: a homeostatic simulation model of population growth through history, in "Modeling and Simulation", Proceedings of the Seventeenth Annual Pittsburgh Conference, Edited by R. Hanham, W.G. Vogt, and M. H. Mickle, Volume 17, Part 1, 269-273.REPORTS/PREPRINTS
M. Artzrouni (2002) A migration model for the spread of coins through the Euro-zone. Université de Pau. Laboratoire de Mathématiques Appliquées, No 2002/21.
M. Artzrouni (2002) Projections of the HIV/AIDS epidemic for homosexual/bisexual men in three European countries: An evaluation 14 years later and updated projections. Université dePau. Laboratoire de Mathématiques Appliquées, No 2002/21.
M. Artzrouni (2001) The UNAIDS/WHO projection model of HIV: asymptotic analysis and threshold conditions. Université de Pau. Laboratoire de Mathématiques Appliquées, No 2001/19.
M. Artzrouni (2001) The local coefficient of ergodicity of a nonnegative matrix. Université de Pau. Laboratoire de Mathématiques Appliquées, No 2001/49.
M. Artzrouni and JP Gouteux (2000) A microsimulation model for the population dynamics of human sleeping sickness Université de Pau. ERS 2055, No 2000/02.
M. Artzrouni and JP Gouteux (1998) A Model of Gambian Sleeping Sickness with Open Vector Populations, Université de Pau. UPRES A 5033, 98/04.
M. Artzrouni and JP Gouteux (1997) A Model of Sleeping Sickness : Open Vector Populations and Rates of Extinction. Université de Pau. Laboratoire de Mathématiques Appliquées, UPRES A 5033, 97/15.
M. Artzrouni and JP Gouteux (1996) A Compartmental Model of Sleeping Sickness in Central Africa. Université de Pau. Laboratoire de Mathématiques Appliquées, URA 1204, 96/01.
M. Artzrouni, and G. Heilig (1989) Projections of the HIV/AIDS epidemic for homosexual/bisexual men and intravenous drug users in five European countries. WP-89-68. International Institute for Applied Systems Analysis (IIASA), Vienna. Paper prepared during my stay as a visitor at IIASA in June 1989.
M. Artzrouni, and G. Heilig. (1988) HIV and AIDS Surveillance in Europe. Working Paper WP-88-120. International Institute for Applied Systems Analysis (IIASA), Vienna. Paper prepared during my stay as a visitor at IIASA in June 1988.
M. Artzrouni (1988) Long-term projections of the spread of HIV/AIDS in New York State. Report commissioned by the New York State Department of Health, Albany.RECENT TALKS
Le rôle des probabilités des transmission dans la propagation du VIH/SIDA chez les prostituées/clients d'Afrique Sub-Saharienne: une confrontation des approches déterministe et stochastique. Talk given at Centre d'analyse et de mathématique sociales, Paris (CNRS-EHESS, UMR 8557), 18 March 2008.
CONFERENCES (organized, attended, etc)
Time-varying linear processes: application to the population dynamics of tsetse flies, 14th ILAS Conference, Shanghai, 16-20 July, 2007.
An individual-based model for the spread of heterosexual HIV; Thirteen years of African trypanosomiasis modeling: A tribute to JP Gouteux (1948-2006). Talks given as Invited Speaker at the EPIMATH workshop on "Mathematical and Computer Modeling of Infectious Diseases". Brazzaville, Congo Brazzaville, 5-10 March 2007.
A density-dependent model of the population dynamics of tse-tse flies: application to trapping experiements. Invited speaker at the international Biomathematics conference organised by the African Network for Development-Related Mathematics - Brazzaville, Congo Brazzaville, 10-15 december 2004.
A density-dependent model of the population dynamics of tse-tse flies: application to trapping experiements. Invited speaker at Fifth Annual Meeting of the African Network for Development-Related Mathematics - Dakar, 2-8 August 2004. Also, workshop to train local public health officials in the use of the UNAIDS software for national HIV/AIDS projections.
A linear migration model for the diffusion of euro coins. Invited speaker, Eurodif2002, Madrid, 28-30 April 2003, Polytechnic Institute of Madrid.
Chaotic dynamical systems, deceptive computers, and new instructional technologies. Jaca, Espagne, bi-annual Pau-Jaca conference in applied mathematics and statistics. 18 sept. 2001.
The local coefficient of ergodicity of a nonnegative matrix, 8th Annual ILAS Conference, Barcelona, 19-22 juillet 1999.
A two-sex Demographic Model of the Heterosexual Spread of HIV. « Measurement of risk and modelling the spread of AIDS », IUSSP Workshop, Copenhagen, Danemark, 1er juin-4 juin, 1998.
A Non-linear Demographic Model of a Heterosexually Transmitted Disease with Vertical Transmission : Application to HIV in Africa. Conference on « Non-linear Models in Demography », organized by the Max-Planck Institute for Demographic Research, Rostock, Germany, 26-28 may 1998.
On Inhomogeneous products of Leslie matrices : Application to the Case of Slowly Varying Perron Vectors. (Poster). Annual meeting of the Population Association of America, Washington, DC, USA, 27-29 mars 1997.
Of Flies and Men: A compartmental model of sleeping sickness in Central Africa. (with J.P. Gouteux). Presented at Fourth International Conference on Mathematical Population Dynamics, Houston, Texas, May 23-27, 1995.
Population Association of America (PAA): "Discussant - Organizer" for session on Models of population dynamics. Annual meeting of PAA, Miami, May 5-7, 1994.
"A modeled time-varying density function for the incubation period of AIDS" Presented at the Third International Conference on Population Dynamics, Pau, France, June1-5, 1992.
Discussant at the session on "Mathematical Demography" at the Annual Meeting of the Population Association of America. Denver, CO; April 29-May 1, 1992.
Organizer, Chair, and Discussant of the session "Socio-economic models of population growth: from extinction to bifurcation" at the Annual Meeting of the Population Association of America. Toronto, Canada; May 3-5, 1990.
"Long-term projections of the HIV/AIDS epidemic for homosexual/bisexual men and intravenous drug users in five European countries", presented at the Annual Meeting of the Population Association of America. Toronto, Canada; May 3-5, 1990.
"Projections of the HIV/AIDS epidemic for homosexual/bisexual men and intravenous drug users in five European countries" (with G. Heilig) presented at the IIASA/INED workshop on Modelling the Spread of HIV/AIDS and its Demographic and Social Consequences, Budapest, Hungary, November 23-24, 1989.
"A two-state infective-age structured model for the spread of AIDS in the USA" (with R. Wykoff) presented in poster form at IV International Conference on AIDS, Stockholm, Sweden, June 12-16, 1988. Abstract #4695 page 235 of program.
"Mathematical investigations of the escape from the Malthusian trap", (with J. Komlos) presented at the workshop on Reconstitution and Dynamics of Past Populations, organized by the National Institute for Demographic Studies, Paris, France. June 2-4, 1989.
"A two-state age-structured model for the spread of AIDS in the United States", presented at the 12th Annual SEAS-SIAM meeting, The University of Tennessee Space Institute, Tullahoma, Tennessee, March 11-12, 1988.
"Empirical explorations of closed-form approximations for the dynamics of a population with slowly changing vital rates", presented at the Annual Meeting of the Population Association of America. Chicago, IL, April 30 - May 2, 1987.
"From Malthus to Boserup: a homeostatic simulation model of population growth through history", presented by co-author John Komlos at the Modeling and Simulation Conference, University of Pittsburgh, Pittsburgh, PA, April 25-26, 1986.
"Generalized equilibria in multistate demographic systems: a graph-theoretic approach", presented at the Annual Meeting of the Population Association of America. San Francisco, CA, April 3-5, 1986.
"On the dynamics of a generalized stable population: application to the United States" and "Population growth through history and the escape from the Malthusian trap: a homeostatic simulation model", presented at the General Conference of the International Union for the Scientific Study of Population. Florence, Italy, June 5-12, 1985.
"Conditions for asymptotically exponential solutions of linear difference equations with variable coefficients", presented at the Second SIAM Conference on Applied Linear Algebra. Raleigh, NC, April 29-May 2, 1985.
"Generalized stable population theory", presented at the Annual Meeting of the Population Association of America, Minneapolis, MN, May 3-5, 1984.BOOK REVIEWS
Multiregional Demography: Principles, Methods and Extensions, by Andrei Rogers. Mathematical Population Studies, 6; 4: 331-333 (1997).La dynamique des populations: populations stables, semi-stables, et quasi-stables, by Jean Bourgeois-Pichat
Formal Demography, by David P. Smith. Mathematical Population Studies, 3; 4: 305-306 (1992).
Matrix Population Models, by Hal Caswell. Mathematical Population Studies, 2; 2:167-168 (1990).
Deterministic Aspects of Mathematical Demography by John Impagliazzo. Mathematical Population Studies, 1;1:127-130 (1988).CONSULTING