53 citations · 58 across the 9 of their papers we have counts for
10 papers
Stability in Reaction Network Models via an Extension of the Next Generation Matrix Method
Florin Avram, Rim Adenane, Andrei D. Halanay +1
In this essay, we investigate some relations between Chemical Reaction Networks (CRN) and Mathematical Epidemiology (ME) and report on several pleasant surprises which we had simpl…
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…
Approximate controllability and lack of controllability to zero of the heat equation with memory
L. Pandolfi, A. Halanay
In this paper we consider the heat equation with memory in a bounded region , , in the case that the propagation speed of the signal is infinite (i.e…
Lack of controllability of thermal systems with memory
Andrei Halanay, Luciano Pandolfi
Heat equations with memory of Gurtin-Pipkin type have controllability properties which strongly resemble those of the wave equation. Instead, recent counterexamples show that when…
Vector Bundles on non-Kähler elliptic principal bundles
Vasile Brinzanescu, Andrei D. Halanay, Günther Trautmann
We study relatively semi-stable vector bundles and their moduli on non-Kähler principal elliptic bundles over compact complex manifolds of arbitrary dimension. The main technical t…
Stability of limit cycles in a pluripotent stem cell dynamics model
Mostafa Adimy, Fabien Crauste, Andrei Halanay +2
This paper is devoted to the study of the stability of limit cycles of a nonlinear delay differential equation with a distributed delay. The equation arises from a model of populat…