319 citations · 484 across the 28 of their papers we have counts for
5 papers · 1 filter
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…
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…
A Pontryaghin Maximum Principle Approach For The Optimization Of Dividends/consumption Of Spectrally Negative Markov Processes, Until A Generalized Draw-down Time
Florin Avram, Dan Goreac
The first motivation of our paper is to explore further the idea that, in risk control problems, it may be profitable to base decisions both on the position of the underlying proce…
Semi-infinite optimization with sums of exponentials via polynomial approximation
Bogdan Dumitrescu, Bogdan C. Sicleru, Florin Avram
We propose a general method for optimization with semi-infinite constraints that involve a linear combination of functions, focusing on the case of the exponential function. Each f…