An introduction to optimal control problems in life sciences and economics. Modeling and Simulation in Science ,
From mathematical models to numerical simulation with MATLAB, 2011. ,
Ergodic control of diffusion processes, volume 143 of Encyclopedia of Mathematics and its Applications ,
Branching processes, Die Grundlehren der mathematischen Wissenschaften, 0196. ,
Quasi-stationary distributions of birth-and-death processes, Advances in Applied Probability, vol.2, issue.03, pp.570-586, 1978. ,
DOI : 10.2307/3212128
Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes. ArXiv e-prints, 2014. ,
A Pseudo-Markov Property for Controlled Diffusion Processes, SIAM Journal on Control and Optimization, vol.54, issue.2, pp.1017-1029, 2016. ,
DOI : 10.1137/151004252
URL : https://hal.archives-ouvertes.fr/hal-01429545
Probabilités et potentiel Chapitres I ` a IV, ´ Editionentì erement refondue , Publications de l, 1372. ,
Existence of non-trivial quasi-stationary distributions in the birth-death chain, Advances in Applied Probability, vol.56, issue.04, pp.795-813, 1992. ,
DOI : 10.2307/3214486
Continuous-time Markov decision processes, volume 62 of Stochastic Modelling and Applied Probability, 2009. ,
Asymptotic behavior of absorbing Markov chains conditional on nonabsorption for applications in conservation biology ,
Models of Adaptive Behaviour: an approach based on state, 1999. ,
Stochastic differential equations and diffusion processes, 1989. ,
Random measures. Akademie-Verlag, 1986. ,
Brownian motion and stochastic calculus, Graduate Texts in Mathematics, vol.113, 1991. ,
Optimal control applied to biological models, Chapman & Hall/CRC Mathematical and Computational Biology Series. Chapman & Hall/CRC, 2007. ,
Optimality Models in Behavioral Biology, SIAM Review, vol.43, issue.3, pp.413-466, 2001. ,
DOI : 10.1137/S0036144500385263
Existence and uniqueness of a quasi-stationary distribution for Markov processes with fast return from infinity, J. Appl. Probab, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00944275
Quasi-stationary distributions and population processes, Probability Surveys, vol.9, issue.0, pp.340-410, 2012. ,
DOI : 10.1214/11-PS191
Markov decision processes: discrete stochastic dynamic programming Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics, 1994. ,
Discounted continuous-time markov decision processes with unbounded rates and randomized historydependent policies: the dynamic programming approach, pp.49-75, 2013. ,
Optimal release strategies for biological control agents: an application of stochastic dynamic programming to population management, Journal of Applied Ecology, vol.37, issue.1, pp.77-86683, 1991. ,
DOI : 10.1046/j.1365-2664.2000.00467.x