M. Adimy and F. Crauste, Stability and instability induced by time delay in an erythropoiesis model, Monografias del Seminario Matematico Garcia de Galdeano, pp.31-34, 2004.

M. Adimy and F. Crauste, Modelling and asymptotic stability of a growth factor-dependent stem cells dynamics model with distributed delay, Discret. Cont. Dyn. Sys. Ser. B, vol.8, issue.1, pp.19-38, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00258392

M. Adimy and F. Crauste, Mathematical model of hematopoiesis dynamics with growth factor-dependent apoptosis and proliferation regulations, Mathematical and Computer Modelling, vol.49, issue.11-12, pp.49-2128, 2009.
DOI : 10.1016/j.mcm.2008.07.014

M. Adimy, F. Crauste, and C. Marquet, Asymptotic behavior and stability switch for a mature???immature model of cell differentiation, Nonlinear Analysis: Real World Applications, vol.11, issue.4, pp.2913-2929, 2010.
DOI : 10.1016/j.nonrwa.2009.11.001
URL : https://hal.archives-ouvertes.fr/hal-00542644

M. Adimy, F. Crauste, and S. Ruan, A Mathematical Study of the Hematopoiesis Process with Applications to Chronic Myelogenous Leukemia, SIAM Journal on Applied Mathematics, vol.65, issue.4, pp.1328-1352, 2005.
DOI : 10.1137/040604698
URL : https://hal.archives-ouvertes.fr/hal-00375977

M. Adimy, F. Crauste, and S. Ruan, Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics, Nonlinear Analysis: Real World Applications, vol.6, issue.4, pp.651-670, 2005.
DOI : 10.1016/j.nonrwa.2004.12.010
URL : https://hal.archives-ouvertes.fr/hal-00375966

M. Adimy, F. Crauste, and S. Ruan, Periodic oscillations in leukopoiesis models with two delays, Journal of Theoretical Biology, vol.242, issue.2, pp.288-299, 2006.
DOI : 10.1016/j.jtbi.2006.02.020
URL : https://hal.archives-ouvertes.fr/hal-00258393

M. Adimy, F. Crauste, and S. Ruan, Modelling Hematopoiesis Mediated by Growth Factors With Applications to Periodic Hematological Diseases, Bulletin of Mathematical Biology, vol.76, issue.4, pp.2321-2351, 2006.
DOI : 10.1007/s11538-006-9121-9
URL : https://hal.archives-ouvertes.fr/hal-00376087

E. Beretta and Y. Kuang, Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters, SIAM Journal on Mathematical Analysis, vol.33, issue.5, pp.1144-1165, 2002.
DOI : 10.1137/S0036141000376086

F. G. Boese, The stability chart for the linearized Cushing equation with a discrete delay and with gamma-distributed delays, Journal of Mathematical Analysis and Applications, vol.140, issue.2, pp.510-536, 1989.
DOI : 10.1016/0022-247X(89)90081-4

F. J. Burns and I. F. Tannock, -PHASE IN THE CELL CYCLE, Cell Proliferation, vol.8, issue.4, pp.321-334, 1970.
DOI : 10.1016/0014-4827(59)90063-1
URL : https://hal.archives-ouvertes.fr/hal-01057010

C. Colijn and M. C. Mackey, A mathematical model of hematopoiesis???I. Periodic chronic myelogenous leukemia, Journal of Theoretical Biology, vol.237, issue.2, pp.117-132, 2006.
DOI : 10.1016/j.jtbi.2005.03.033

C. Colijn and M. C. Mackey, A mathematical model of hematopoiesis: II. Cyclical neutropenia, Journal of Theoretical Biology, vol.237, issue.2, pp.133-146, 2006.
DOI : 10.1016/j.jtbi.2005.03.034

F. Crauste, Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model, Mathematical Biosciences and Engineering, vol.3, issue.2, pp.325-346, 2006.
DOI : 10.3934/mbe.2006.3.325
URL : https://hal.archives-ouvertes.fr/hal-00376070

F. Crauste, Delay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch, Mathematical Modelling of Natural Phenomena, vol.4, issue.2, pp.28-47, 2009.
DOI : 10.1051/mmnp/20094202
URL : https://hal.archives-ouvertes.fr/hal-00542663

F. Crauste, Stability and Hopf bifurcation for a first-order linear delay differential equation with distributed delay, Complex Time Delay Systems, p.320, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00542651

F. Crauste, L. Pujo-menjouet, S. Génieys, C. Molina, and O. Gandrillon, Adding self-renewal in committed erythroid progenitors improves the biological relevance of a mathematical model of erythropoiesis, Journal of Theoretical Biology, vol.250, issue.2, pp.250-322, 2008.
DOI : 10.1016/j.jtbi.2007.09.041
URL : https://hal.archives-ouvertes.fr/hal-00194422

C. Foley and M. C. Mackey, Dynamic hematological disease: a review, Journal of Mathematical Biology, vol.89, issue.3, pp.285-322, 2009.
DOI : 10.1007/s00285-008-0165-3

J. Hale and S. M. , Introduction to functional differential equations, Applied Mathematical Sciences, vol.99, 1993.
DOI : 10.1007/978-1-4612-4342-7

M. J. Koury and M. C. Bondurant, Erythropoietin retards DNA breakdown and prevents programmed death in erythroid progenitor cells, Science, vol.248, issue.4953, pp.248-378, 1990.
DOI : 10.1126/science.2326648

Y. Kuang, Delay differential equations with applications in population dynamics, Mathematics in Science and Engineering, vol.191, 1993.

L. G. Lajtha-stohlman, J. , and F. , On DNA labeling in the study of the dynamics of bone marrow cell populations The Kinetics of Cellular Proliferation, Grune and Stratton, pp.173-182, 1959.

M. C. Mackey, Unified hypothesis of the origin of aplastic anaemia and periodic hematopoiesis, Blood, pp.51-941, 1978.

S. Niculescu, P. S. Kim, K. Gu, P. P. Lee, and D. Levy, Stability crossing boundaries of delay systems modeling immune dynamics in leukemia, Discrete Contin, Dyn. Syst. Ser. B, vol.13, issue.1, pp.129-156, 2010.

S. Ruan and J. Wei, On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion, Mathematical Medicine and Biology, vol.18, issue.1, pp.41-52, 2001.
DOI : 10.1093/imammb/18.1.41