319 citations · 484 across the 28 of their papers we have counts for
4 papers · 1 filter
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…
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…
A review of matrix SIR Arino epidemic models
Florin Avram, Rim Adenane, David I. Ketcheson
Many of the models used nowadays in mathematical epidemiology, in particular in COVID-19 research, belong to a certain sub-class of compartmental models whose classes may be divide…