W. O. Kermack and A. G. Mckendrick, A contribution to the mathematical theory of epidemics, Proc. Roy. Soc. A, vol.115, issue.772, pp.700-721, 1927.

J. D. Murray, Mathematical biology -I : An introduction, Interdisciplinary Applied Mathematics, vol.17, 2002.

S. M. Stringer, N. Hunter, and M. E. Woolhouse, A mathematical model of the dynamics of scrapie in a sheep flock, Math. Biosci, vol.153, issue.2, pp.10036-10042, 1998.

O. Arino, A. Bertuzzi, A. Gandolfi, E. Sánchez, and C. Sinisgalli, A model with 'growth retardation' for the kinetic heterogeneity of tumour cell populations, Math. Biosci, vol.206, issue.2, pp.185-199, 2007.

B. Laroche and S. Touzeau, Parameter identification for a PDE model representing scrapie transmission in a sheep flock, 44th IEEE Conference on Decision and Control & European Control Conference, pp.1607-1612, 2005.

É. Walter and L. Pronzato, Identification of parametric models: from experimental data, Communications and Control Engineering, 1997.

M. J. Chappell, K. R. Godfrey, and S. Vajda, Global identifiability of the parameters of nonlinear-systems with specified inputs: a comparison of methods, Math. Biosci, vol.102, issue.1, pp.41-73, 1990.

S. Vajda, K. R. Godfrey, and H. Rabitz, Similarity transformation approach to identifiability analysis of nonlinear compartmental-models, Math. Biosci, vol.93, issue.2, pp.217-248, 1989.

L. Denis-vidal and G. Joly-blanchard, Equivalence and identifiability analysis of uncontrolled nonlinear dynamical systems, Automatica, vol.40, issue.2, pp.287-292, 2004.

H. Pohjanpalo, System identifiability based on the power series expansion of the solution, Math. Biosci, vol.41, issue.1-2, pp.90063-90072, 1978.

L. Ljung and T. Glad, On global identifiability for arbitrary model parametrizations, Automatica, vol.30, issue.2, pp.90029-90038, 1994.

G. Margaria, E. Riccomagno, and L. J. White, Structural identifiability analysis of some highly structured families of statespace models using differential algebra, J. Math. Biol, vol.49, issue.5, pp.433-454, 2004.

M. P. Saccomani, S. Audoly, and L. , Parameter identifiability of nonlinear systems: the role of initial conditions, Automatica, vol.39, issue.4, pp.619-632, 2003.

L. Belkoura, Identifiability of systems described by convolution equations, Automatica, vol.41, issue.3, pp.505-512, 2005.

Y. Orlov, L. Belkoura, J. P. Richard, and M. Dambrine, On identifiability of linear time-delay systems, IEEE Trans. Automat. Control, vol.47, issue.8, pp.1319-1324, 2002.
URL : https://hal.archives-ouvertes.fr/hal-02560704

J. Zhang, X. Xia, and C. H. Moog, Parameter identifiability of nonlinear systems with time-delay, IEEE Trans. Automat. Control, vol.51, issue.2, pp.371-375, 2006.

S. Nakagiri, Review of Japanese work of the last ten years on identifiability in distributed parameter systems, Inverse Problems, vol.9, issue.2, pp.143-191, 1993.

L. Baudouin and J. Puel, Uniqueness and stability in an inverse problem for the Schrödinger equation, Inverse Problems, vol.18, issue.6, pp.1537-1554, 2002.

M. V. Klibanov and S. E. Pamyatnykh, Global uniqueness for a coefficient inverse problem for the non-stationary transport equation via Carleman estimate, J. Math. Anal. Appl, vol.343, issue.1, pp.352-365, 2008.

H. Egger, H. W. Engl, and M. V. Klibanov, Global uniqueness and Hölder stability for recovering a nonlinear source term in a parabolic equation, Inverse Problems, vol.21, issue.1, pp.271-290, 2005.

B. Kaltenbacher and M. V. Klibanov, An inverse problem for a nonlinear parabolic equation with applications in population dynamics and magnetics, SIAM J. Math. Anal, vol.39, issue.6, pp.1863-1889, 2008.

M. V. Klibanov, Global uniqueness of a multidimensional inverse problem for a nonlinear parabolic equation by a Carleman estimate, Inverse Problems, vol.20, issue.4, pp.1003-1032, 2004.

A. Perasso and B. Laroche, Well-posedness of an epidemiological problem described by an evolution PDE, ESAIM:Proc, vol.25, pp.29-43, 2008.
URL : https://hal.archives-ouvertes.fr/hal-02655874