24 citations · 77 across the 32 of their papers we have counts for
4 papers · 2 filters
On matrix-SIR Arino models with linear birth rate, loss of immunity, disease and vaccination fatalities, and their approximations
Florin Avram, Rim Adenane, Lasko Basnarkov +3
In this work we study the stability properties of the equilibrium points of deterministic epidemic models with nonconstant population size. Models with nonconstant population have…
SIR Epidemics With State-Dependent Costs and ICU Constraints: A Hamilton-Jacobi Verification Argument and Dual LP Algorithms
Lorenzo Freddi, Dan Goreac, Juan Li +1
The aim of this paper is twofold. On one hand, we strive to give a simpler proof of the optimality of greedy controls when the cost of interventions is control-affine and the dynam…
Optimal Control of a SIR Epidemic With ICU Constraints and Target Objectives
Florin Avram, Lorenzo Freddi, Dan Goreac
The aim of this paper is to provide a rigorous mathematical analysis of an optimal control problem with SIR dynamics. The main feature of our study is the presence of state constra…
Optimizing dividends and capital injections limited by bankruptcy, and practical approximations for the Cramér-Lundberg process
Florin Avram, Dan Goreac, Rim Adenane +1
The recent papers Gajek-Kucinsky(2017) and Avram-Goreac-Li-Wu(2020) investigated the control problem of optimizing dividends when limiting capital injections stopped upon bankruptc…