Bibliography
Major publications by the team in recent years
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1P. Auger, E. Kouokam, G. Sallet, M. Tchuente, B. Tsanou.
The Ross-Macdonald model in a patchy environment, in: Mathematical Biosciences, 2008, vol. 216, no 2, p. 123–131. -
2B. Bonzi, A. A. Fall, A. Iggidr, G. Sallet.
Stability of differential susceptibility and infectivity epidemic models., in: Journal of Mathematical Biology, February 2010, vol. 62, no 1, p. 39-64.
http://www. springerlink. com/ content/ 0612425711325kh4/, http:// hal. inria. fr/ inria-00544315/ en -
3A. A. Fall, A. Iggidr, G. Sallet, J.-J. Tewa.
Epidemiological models and Lyapunov techniques, in: Mathematical Modelling of Natural Phenomena, 2007, vol. 2, no 1, p. 55-72. -
4A. Iggidr, J.-C. Kamgang, G. Sallet, J.-J. Tewa.
Global analysis of new malaria intrahost models with a competitive exclusion principle., in: SIAM J. Appl. Math., 2006, vol. 67, no 1, p. 260-278. -
5A. Iggidr, J. Mbang, G. Sallet.
Stability analysis of within-host parasite models with delays., in: Math. Biosci., 2007, vol. 209, no 1, p. 51-75. -
6A. Iggidr, J. Mbang, G. Sallet, J.-J. Tewa.
Multi-compartment models, in: Discrete Contin. Dyn. Syst., 2007, no Dynamical Systems and Differential Equations. Proceedings of the 6th AIMS International Conference, suppl., p. 506–519. -
7D. Ngom, A. Iggidr, A. Guiro, A. Ouahbi.
An Observer for a Nonlinear Age-Structured Model of a Harvested Fish Population, in: Mathematical Biosciences and Engineering, 2008, vol. 5, no 2, p. 337 –354.
Articles in International Peer-Reviewed Journals
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8P. Adda, D. Bichara.
Global stability for SIR and SIRS models with differential mortality, in: International Journal of Pure and Applied Mathematics, IJPAM, October 2012, vol. 80, no 3, p. 425-433.
http://hal. inria. fr/ hal-00675359 -
9R. Anguelov, Y. Dumont, J. M. S. Lubuma.
Mathematical modeling of sterile insect technology for control of anopheles mosquito, in: Computers and Mathematics with Applications, 2012, vol. 64, no 3, p. 374-389.
http://www. sciencedirect. com/ science/ article/ pii/ S0898122112001939 -
10P. Auger, A. Moussaoui, G. Sallet.
Basic Reproduction Ratio for a Fishery Model in a Patchy Environment., in: Acta Biotheoretica, 2012, vol. 60, no 1-2, p. 167-188. [ DOI : 10.1007/s10441-012-9155-3 ]
http://hal. inria. fr/ hal-00656184 -
11Y. Dumont, J. M. Tchuenche.
Mathematical studies on the sterile insect technique for the Chikungunya disease and Aedes albopictus, in: Journal of Mathematical Biology, 2012, vol. 65, no 5, p. 809-854.
http://dx. doi. org/ 10. 1007/ s00285-011-0477-6 -
12A. Guiro, A. Iggidr, D. Ngom.
On the Stock Estimation for a Harvested Fish Population, in: Bulletin of Mathematical Biology, 2012, vol. 74, no 1, p. 116-142. [ DOI : 10.1007/s11538-011-9667-z ]
http://hal. inria. fr/ inria-00523963 -
13A. Iggidr, G. Sallet, B. Tsanou.
Global stability analysis of a metapopulation SIS epidemic model, in: Mathematical Population Studies, 2012, vol. 19, no 3, p. 115-129.
http://hal. inria. fr/ hal-00648041
Internal Reports
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14D. Bichara, N. Cozic, A. Iggidr.
On the estimation of sequestered parasite population in falciparum malaria patients, Inria, December 2012, no RR-8178, 14 p.
http://hal. inria. fr/ hal-00764375 -
15D. Bichara, A. Iggidr, G. Sallet.
Competitive exclusion principle for SIS and SIR models with n strains, Inria, March 2012, no RR-7902, 15 p.
http://hal. inria. fr/ hal-00677609 -
16M. Diaby, A. Iggidr.
OBSERVER DESIGN FOR A SCHISTOSOMIASIS MODEL, Inria, November 2012, no RR-8156, 20 p.
http://hal. inria. fr/ hal-00758712 -
17M. Diaby, A. Iggidr, M. Sy, A. Sène.
Global analysis of a shistosomiasis infection with biological control, Inria, November 2012, no RR-8148, 24 p.
http://hal. inria. fr/ hal-00758009
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18H. Bogreau, F. Renaud, H. Bouchiba, P. Durand, S.-B. Assi, M.-C. Henry, E. Garnotel, B. Pradines, T. Fusai, B. Wade, E. Adehossi, P. Parola, M. A. Kamil, O. Puijalon, C. Rogier.
Genetic diversity and structure of African Plasmodium falciparum populations in urban and rural areas., in: Am J Trop Med Hyg, 2006, vol. 74, no 6, p. 953–959. -
19O. Diekmann, J. A. P. Heesterbeek.
Mathematical epidemiology of infectious diseases, Wiley Series in Mathematical and Computational Biology, John Wiley & Sons Ltd., Chichester, 2000. -
20O. Diekmann, J. A. P. Heesterbeek, J. A. J. Metz.
On the definition and the computation of the basic reproduction ratio in models for infectious diseases in heterogeneous populations, in: J. Math. Biol., 1990, vol. 28, no 4, p. 365–382. -
21B. Gryseels, K. Polman, J. Clerinx, L. Kestens.
Human schistosomiasis., in: Lancet, 2006, vol. 368, no 9541, p. 1106–1118. -
22J. A. P. Heesterbeek, K. Dietz.
The concept of in epidemic theory, in: Statist. Neerlandica, 1996, vol. 50, no 1, p. 89–110. -
23J. A. P. Heesterbeek.
A brief history of and a recipe for its calculation, in: Acta Biotheorica, 2002, vol. 50, p. 189-204. -
24J. A. P. Heesterbeek, M. Roberts.
The type-reproduction number T in models for infectious disease control, in: Math. Biosci., 2006. -
25J. Heffernan, L. Smith.
Perspectives on the basic reproductive ratio, in: J. R. Soc. Interface, 2005, vol. 2, no 4, p. 281-293. -
26J. M. Hyman, J. Li.
The reproductive number for an HIV model with differential infectivity and staged progression., in: Linear Algebra Appl., 2005, vol. 398, p. 101-116. -
27J. A. Jacquez, C. P. Simon.
Qualitative theory of compartmental systems with lags, in: Math. Biosci., 2002, vol. 180, p. 329-362. -
28J. A. Jacquez, C. P. Simon, J. Koopman.
The reproduction number in deterministic models of contagious diseases, in: Comment. Theor. Biol.., 1991, vol. 2, no 3. -
29N. MacDonald.
Time lags in biological models, Lecture Notes in Biomath., Springer-Verlag, 1978, no 27. -
30M. Roberts, J. A. P. Heesterbeek.
A new method for estimating the effort required to control an infectiou disease, in: Proc. R. Soc. Lond. B Biol. Sci., 2003, vol. 270, no 1522. -
31M. G. Roberts.
The pluses and minuses of R0., in: J R Soc Interface, 2007, vol. 4, no 16, p. 949–961. -
32A. G. P. Ross, P. B. Bartley, A. C. Sleigh, G. R. Olds, Y. Li, G. M. Williams, D. P. McManus.
Schistosomiasis., in: N Engl J Med, Apr 2002, vol. 346, no 16, p. 1212–1220. -
33D. Siljak.
Large-scale dynamic systems. Stability and structure, system science and engineering, Elsevier North-Holland, 1978. -
34H. R. Thieme.
Spectral bound and reproduction number for infinite-dimensional population structure and time heterogeneity, in: SIAM J. Appl. Math., 2009, vol. 70, no 1, p. 188–211. -
35L. N. Trefethen, M. Embree.
Spectra and pseudospectra, Princeton University Press, Princeton, NJ, 2005. -
36L. N. Trefethen.
Approximation theory and numerical linear algebra, in: Algorithms for approximation, II (Shrivenham, 1988), London, Chapman and Hall, London, 1990, p. 336–360. -
37L. N. Trefethen.
Pseudospectra of linear operators, in: SIAM Rev., 1997, vol. 39, no 3, p. 383–406. -
38J. X. Velasco-Hernández, J. A. García, D. E. Kirschner.
Remarks on modeling host-viral dynamics and treatment., in: Mathematical approaches for emerging and reemerging infectious diseases: An introduction. Proceedings of a tutorial Introduction to epidemiology and immunology, IMA Vol. Math. Appl., Springer, 2002, vol. 125, p. 287-308. -
39 WHO.
The control of Schistosomiasis: Second Report of the WHO Expert Committee., World Health Organization, Geneva, 1993, no 830. -
40P. van den Driessche, J. Watmough.
reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, in: Math. Biosci., 2002, vol. 180, p. 29-48.