E. Beno??tbeno??t, Systèmes lents-rapides dans R 3 et leurs canards, Troisì eme rencontre du Schnepfenried, Société mathématique de France, pp.159-191110, 1983.

E. Beno??tbeno??t and M. Rochet, A continuous model of biomass size spectra governed by predation and the effects of fishing on them, Journal of Theoretical Biology, vol.226, issue.1, pp.9-21, 2004.
DOI : 10.1016/S0022-5193(03)00290-X

T. Birkhead, K. Lee, and P. Young, Sexual Cannibalism in the Praying Mantis Hierodula Membranacea, Behaviour, vol.106, issue.1, pp.112-118, 1988.
DOI : 10.1163/156853988X00115

D. Claessen, A. De-roos, and L. Persson, Population dynamic theory of size-dependent cannibalism, Proceedings of the Royal Society of London Series B, pp.333-340, 1537.
DOI : 10.1098/rspb.2003.2555

M. Elgar and D. Nash, Sexual cannibalism in the garden spider Araneus diadematus, Animal Behaviour, vol.36, issue.5, pp.1511-1517, 1988.
DOI : 10.1016/S0003-3472(88)80221-5

J. Farkas and T. Hagen, Stability and regularity results for a size-structured population model, Journal of Mathematical Analysis and Applications, vol.328, issue.1, pp.119-136, 2007.
DOI : 10.1016/j.jmaa.2006.05.032

F. Gallucci and E. Olafsson, Cannibalistic behaviour of rock-pool copepods: An experimental approach for space, food and kinship, Journal of Experimental Marine Biology and Ecology, vol.342, issue.2, pp.325-331, 2007.
DOI : 10.1016/j.jembe.2006.11.004

M. Hirsch and S. Smale, Differential equations, dynamical systems, and linear algebra, 1974.

C. Kaewmanee and I. Tang, Cannibalism in an age-structured predator???prey system, Ecological Modelling, vol.167, issue.3, pp.213-220, 2003.
DOI : 10.1016/S0304-3800(03)00190-X

C. Kohlmeier and W. Ebenhöh, The stabilizing role of cannibalism in a predator-prey system, Bulletin of Mathematical Biology, vol.118, issue.3, pp.401-411, 1995.
DOI : 10.1007/BF02460632

W. Liu, D. Xiao, and Y. Yi, Relaxation oscillations in a class of predator???prey systems, Journal of Differential Equations, vol.188, issue.1, pp.306-331, 2003.
DOI : 10.1016/S0022-0396(02)00076-1

K. Magnússon, Destabilizing effect of cannibalism on a structured predator???prey system, Mathematical Biosciences, vol.155, issue.1, pp.61-75, 1999.
DOI : 10.1016/S0025-5564(98)10051-2

O. Maury, B. Faugeras, Y. Shin, J. Poggiale, T. Ari et al., Modeling environmental effects on the size-structured energy flow through marine ecosystems. Part 1: The model, Progress in Oceanography, vol.74, issue.4, pp.479-499, 2007.
DOI : 10.1016/j.pocean.2007.05.002

URL : https://hal.archives-ouvertes.fr/hal-01186904

R. Malley, Singular perturbation methods for ordinary differential equations Applied mathematical sciences Factors controlling phytoplankton populations on Georges Bank, Journal of Marine Research, vol.6, issue.1, pp.54-73, 1946.

S. Rinaldi and S. Muratori, Slow-fast limit cycles in predator-prey models, Ecological Modelling, vol.61, issue.3-4, pp.3-4287, 1992.
DOI : 10.1016/0304-3800(92)90023-8

A. De-roos, T. Schellekens, T. Kooten, K. Wolfshaar, D. Claessen et al., Simplifying a physiologically structured population model to a stage-structured biomass model, Theoretical Population Biology, vol.73, issue.1, pp.47-62, 2008.
DOI : 10.1016/j.tpb.2007.09.004

S. Tuljapurkar and H. Caswell, Structured-population models in marine, terrestrial , and freshwater systems, 1997.
DOI : 10.1007/978-1-4615-5973-3