319 citations · 484 across the 28 of their papers we have counts for
31 papers
Explicit mathematical epidemiology results on age renewal kernels and R0 formulas are often consequences of the rank one property of the next generation matrix
Florin Avram, Rim Adenane, Dan Goreac +1
A very large class of ODE epidemic models (2.2) discussed in this paper enjoys the property of admitting also an integral renewal formulation, with respect to an "age of infection…
On a three-dimensional and two four-dimensional oncolytic viro-therapy models
Rim Adenane, Eric Avila-Vales, Florin Avram +2
We revisit here and carry out further works on tumor-virotherapy compartmental models of [Tian, 2011, Wang et al., 2013, Phan and Tian, 2017, Guo et al., 2019]. The results of thes…
New results and open questions for SIR-PH epidemic models with linear birth rate, loss of immunity, vaccination, and disease and vaccination fatalities
Florin Avram, Rim Adenane, Andrei Halanay
Our paper presents three new classes of models: SIR-PH, SIR-PH-FA, and SIR-PH-IA, and states two problems we would like to solve about them. Recall that deterministic mathematical…
Stability analysis of an eight parameter SIR-type model including loss of immunity, and disease and vaccination fatalities
Florin Avram, Rim Adenane, Gianluca Bianchin +1
We revisit here a landmark five parameter SIR-type model of [DvdD93, Sec. 4], which is maybe the simplest example where a complete picture of all cases, including non-trivial bista…
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…