N. Apreutesei, An optimal control problem for a prey-predator system with a general functional response, Applied Mathematics Letters, vol.22, issue.7, pp.1062-1065, 2009.

J. Aubin, Viability Theory, 1991.
URL : https://hal.archives-ouvertes.fr/inria-00636570

J. Aubin, A. M. Bayen, and P. Saint-pierre, Viability Theory, New Directions, Second Editions, 2011.

T. Bayen and A. Rapaport, About Moreau-Yosida regularization of the minimal time crisis problem, published online, Journal of Convex Analysis, vol.23, 2016.
DOI : 10.1051/proc/201657001
URL : https://www.esaim-proc.org/articles/proc/pdf/2017/02/proc_etamm2016_001.pdf

T. Bayen and A. Rapaport, About the minimal time crisis problem, ESAIM, Proceedings and Surveys, 2017.
DOI : 10.1051/proc/201657001
URL : https://hal.archives-ouvertes.fr/hal-01465750

J. Beddington and R. May, Maximum Sustainable Yields in Systems Subject to Harvesting at More than One Trophic Level Mathematical Biosciences, vol.51, pp.261-281, 1980.
DOI : 10.1016/0025-5564(80)90103-0

J. F. Bonnans, C. Moreno, and C. Saguez, Controle de domaines temporels, INRIA research report, 1984.

J. F. Bonnans, V. Gaudrat, and C. Saguez, A domain control approach to state constrained control problems, in Lecture Notes in Control and Information Sciences n o 100, pp.72-90, 1988.

N. Bonneuil and K. Mullers, Viable Populations in a Prey-Predator System, Journal of Mathematical Biology, vol.35, pp.261-293, 1997.
DOI : 10.1007/s002850050052

L. Cesari, Optimization-Theory and Applications. Problems with Ordinary Differential Equations, 1983.

F. H. Clarke, Functional Analysis, Calculus of Variation, Optimal control, 2013.

F. H. Clarke, Y. S. Ledyaev, R. J. Stern, and P. R. Wolenski, Nonsmooth Analysis and Control Theory, 1998.
DOI : 10.1007/978-0-387-30440-3_370
URL : https://hal.archives-ouvertes.fr/hal-00863298

M. D. Lara and L. Doyen, Sustainable Management of Natural Resources, Mathematical Models and Methods, 1998.

M. Lara, E. Ocana, R. Oliveros-ramos, and J. Tam, Ecosystem Viable Yields, vol.17, pp.565-575, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00587663

P. De-leenheer and D. Aeyels, Accessibility properties of controlled lotka-volterra systems, Proceedings of the 39th IEEE Conference on Decision and Control, vol.4, pp.3977-3981, 2000.

L. Doyen and P. Saint-pierre, Scale of viability and minimal time of crisis, pp.227-246, 1997.

M. Garavello and B. Piccoli, Hybrid Necessary Principle, SIAM J. Control Optim, vol.43, pp.1867-1887, 2005.
DOI : 10.1137/s0363012903416219

B. Goh, Management and analysis of biological populations, 1980.

B. Goh, G. Leitmann, and T. Vincent, Optimal control of a prey-predator system, Mathematical Biosciences, vol.19, pp.263-286, 1974.

F. Grognard, Feedback stabilization of predator-prey systems for impulsive biological control, 19th IFAC World Congress, pp.5264-5269, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00968181

F. Grognard, J. Rault, and J. Gouze, Positive control for global stabilization of predator-prey systems, 9th IFAC Symposium Nonlinear Control Systems (NOLCOS'13), pp.265-270, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00850374

T. Haberkorn and E. Trélat, Convergence results for smooth regularizations of hybrid nonlinear optimal control problems, SIAM. J. Control Optim, vol.49, pp.1498-1522, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00519458

A. Ibanez, Optimal control of the Lotka-Volterra system: turnpike property and numerical simulations, Journal of Biological Dynamics, vol.11, issue.1, 2017.

H. Khalil, Nonlinear Systems, 1992.

L. Mailleret and F. Grognard, Global stability and optimisation of a general impulsive biological control model, Mathematical Biosciences, vol.221, issue.2, pp.91-100, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00320578

M. Meza, A. Bhaya, E. Kaszkurewicz, and M. Costa, Threshold policies control for predator-prey systems using a control Liapunov function approach, Theoretical Population Biology, vol.69, issue.4, pp.273-284, 2005.

L. S. Pontryagin, V. G. Boltyanskiy, R. V. Gamkrelidze, and E. F. Mishchenko, Mathematical theory of optimal processes, 1964.

P. Prostyakov, Construction of the reachability set of the Lotka-Volterra system, Differ. Equ, vol.42, issue.3, pp.366-373, 2006.

M. Quincampoix, Differential inclusions and target problems, SIAM J. Control Optim, vol.30, pp.324-335, 1992.

A. Rapaport, Characterization of barriers of differential games, Journal of Optimization, vol.97, issue.1, pp.151-180, 1998.
URL : https://hal.archives-ouvertes.fr/hal-00999962

W. Strobele and H. Wacker, The economics of harvesting predator-prey systems, Journal of Economics, vol.61, issue.1, pp.65-81, 1995.

R. Vinter, Optimal Control, Systems and Control: Foundations and Applications, 2000.

I. Yegorov, F. Mairet, and J. Gouzé, Optimal feedback strategies for bacterial growth with degradation, recycling, and effect of temperature, Optim Control Appl Meth, vol.39, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01655960

S. Yosida, An optimal control problem of the prey-predator system, Funck. Ekvacioj, vol.25, pp.283-293, 1982.

M. I. Zelikin and V. F. Borisov, Theory of Chattering Control, Systems & Control: Foundations & Applications, Birkhäuser, 1994.

J. Zhu, E. Trélat, and M. Cerf, Planar tilting maneuver of a spacecraft: singular arcs in the minimum time problem and chattering, Discrete Cont. Dynam. Syst. Ser. B, vol.21, issue.4, pp.1347-1388, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01145876