M. Coccia, Factors determining the diffusion of COVID-19 and suggested strategy to prevent future accelerated viral infectivity similar to COVID, Science of the Total Environment, p.138474, 2020.

E. Petkova, E. M. Antman, and A. B. Troxel, Pooling Data From Individual Clinical Trials in the COVID-19 Era, JAMA

D. Domenico, L. Pullano, G. Sabbatini, C. E. Boëlle, P. Y. Colizza et al., Expected impact of lockdown in Ile-de-France and possible exit strategies, 20063933.

. Salje, Estimating the burden of SARS-CoV-2 in France, Science, 2020.
URL : https://hal.archives-ouvertes.fr/pasteur-02548181

. Guzzetta, The impact of a nation-wide lockdown on COVID-19 transmissibility in Italy, 2020.

Q. H. Liu, M. Ajelli, A. A. Merler, S. Moreno, Y. Vespignani et al., Measurability of the epidemic reproduction number in data-driven contact networks, Proceedings of the National Academy of Sciences, vol.115, issue.50, pp.12680-12685, 2018.

F. Brauer, C. Castillo-chavez, and Z. Feng, Mathematical models in epidemiology, 2019.

A. Cori, N. M. Ferguson, C. Fraser, and S. Cauchemez, A new framework and software to estimate time-varying reproduction numbers during epidemics, American Journal of Epidemiology, vol.178, issue.9, pp.1505-1512, 2013.

T. Obadia, R. Haneef, and P. Y. Boëlle, The R0 package: a toolbox to estimate reproduction numbers for epidemic outbreaks, BMC Medical Informatics and Decision Making, vol.12, issue.1, p.147, 2012.
URL : https://hal.archives-ouvertes.fr/pasteur-02612613

. Thompson, Improved inference of time-varying reproduction numbers during infectious disease outbreaks, Epidemics, vol.29, p.100356, 2019.

H. H. Bauschke and P. L. Combettes, Convex Analysis and Monotone Operator Theory in Hilbert Spaces
URL : https://hal.archives-ouvertes.fr/hal-00643354

,

J. F. Cai, B. Dong, S. Osher, and Z. Shen, Image restoration: Total variation, wavelet frames, and beyond, vol.25, pp.1033-1089, 2012.

P. L. Combettes and J. C. Pesquet, Proximal splitting methods in signal processing, Bauschke et al HH, editor. Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00643807

N. Parikh and S. Boyd, Proximal algorithms. Foundations and Trends ® in Optimization, vol.1, pp.127-239, 2014.

N. Pustelnik, A. Benazza-benhayia, Y. Zheng, and J. C. Pesquet, Wavelet-based Image Deconvolution and Reconstruction, Wiley Encyclopedia of Electrical and Electronics Engineering, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01164833

J. Wallinga and P. Teunis, Different Epidemic Curves for Severe Acute Respiratory Syndrome Reveal Similar Impacts of Control Measures, American Journal of Epidemiology, vol.160, issue.6, pp.509-516, 2004.

. Ma, Epidemiological parameters of coronavirus disease 2019: a pooled analysis of publicly reported individual data of 1155 cases from seven countries, American Journal of Epidemiology, vol.178, issue.9, pp.1505-1512, 2020.

R. , Epidemiological characteristics of COVID-19 cases in Italy and estimates of the reproductive numbers one month into the epidemic, vol.2020, 20056861.

J. Colas, N. Pustelnik, C. Oliver, J. C. Gé-minard, and V. Vidal, Nonlinear denoising for solid friction dynamics characterization, Physical Review E, vol.100, 2019.

T. Debarre, Q. Denoyelle, M. Unser, and J. Fageot, Sparsest Continuous Piecewise-Linear Representation of Data, 2020.

D. I. Shuman, S. K. Narang, P. Frossard, A. Ortega, and P. Vandergheynst, The emerging field of signal processing on graphs: Extending high-dimensional data analysis to networks and other irregular domains, IEEE Signal Processing Magazine, vol.30, issue.3, pp.83-98, 2013.

A. Chambolle and T. Pock, A first-order primal-dual algorithm for convex problems with applications to imaging, Journal of Mathematical Imaging and Vision, vol.40, issue.1, pp.120-145, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00490826

L. Condat, D. Kitahara, A. Contreras, and A. Hirabayashi, Proximal splitting algorithms: Relax them all!, 2019.

J. J. Moreau, Fonctions convexes duales et points proximaux dans un espace hilbertien. Comptes rendus de l'Acadé mie des sciences de Paris, vol.255, pp.2897-2899, 1962.
URL : https://hal.archives-ouvertes.fr/hal-01867195

P. L. Combettes and J. C. Pesquet, A Douglas-Rachford splitting approach to nonsmooth convex variational signal recovery, IEEE Journal of Selected Topics in Signal Processing, vol.1, issue.4, pp.564-574, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00621820

O. Diekmann, J. Heesterbeek, and J. Metz, On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations, J Math Biol, vol.28, pp.365-382, 1990.

P. Van-den-driessche and J. Watmough, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Mathematical Biosciences, vol.180, pp.29-48, 2002.