R. M. Anderson, B. Anderson, and R. M. May, Infectious diseases of humans: dynamics and control, 1991.

J. P. Aubin, Viability theory, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00636570

F. Brauer and C. Castillo-chavez, Mathematical models in population biology and epidemiology, p.40, 2001.

R. V. Culshaw, S. Ruan, and R. J. Spiteri, Optimal HIV treatment by maximising immune response, Journal of Mathematical Biology, vol.48, issue.5, pp.545-562, 2004.

J. A. De-dona and J. Lévine, On barriers in state and input constrained nonlinear systems, SIAM Journal on Control and Optimization, vol.51, issue.4, pp.3208-3234, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00794207

M. De-lara and L. S. Salcedo, Viable control of an epidemiological model, Mathematical Biosciences, vol.280, pp.24-37, 2016.
URL : https://hal.archives-ouvertes.fr/hal-00519009

M. De-lara and L. S. Salcedo, Robust viability analysis of a controlled epidemiological model, Theoretical Population Biology, vol.126, pp.51-58, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01577796

W. Esterhuizen, T. Aschenbruck, and S. Streif, On maximal robust positively invariant sets in constrained nonlinear systems, 2019.

E. Hansen and T. Day, Optimal control of epidemics with limited resources, Journal of Mathematical Biology, vol.62, issue.3, pp.423-451, 2011.

H. Hethcote, The mathematics of infectious diseases, SIAM Review, vol.42, issue.4, pp.599-653, 2000.

H. W. Hethcote and P. Waltman, Optimal vaccination schedules in a deterministic epidemic model, Mathematical Biosciences, vol.18, issue.3, pp.365-381, 1973.

D. Kirschner, S. Lenhart, and S. Serbin, Optimal control of the chemotherapy of HIV, Journal of Mathematical Biology, vol.35, issue.7, pp.775-792, 1997.

J. C. Miller, Bounding the size and probability of epidemics on networks, Journal of Applied Probability, vol.45, issue.2, pp.498-512, 2008.

C. Nowzari, V. M. Preciado, and G. J. Pappas, Analysis and control of epidemics: A survey of spreading processes on complex networks, IEEE Control Systems Magazine, vol.36, issue.1, pp.26-46, 2016.

R. Pastor-satorras, C. Castellano, P. Van-mieghem, and A. Vespignani, Epidemic processes in complex networks, Rev. Mod. Phys, vol.87, pp.925-979, 2015.