7 citations · 8 across the 11 of their papers we have counts for
11 papers
A Perron-Frobenius strong threshold theorem for (A, B, P, ϕ) balanced bilinear models, and the role of left and right Perron eigenvectors in mathematical epidemiology
Florin Avram, Rim Adenane, Andrei-Dan Halanay +2
This paper started as a review of seven results pertaining to a family of bilinear models with rank one NGM introduced by Fall, Iggidr, Sallet and Bonzi, which utilize the explicit…
Triangularity of the Jacobian on siphon faces, the Metzler property of its transversal component and other results
Florin Avram, Rim Adenane, Andrei-Dan Halanay
We establish two structural properties of the Jacobian of a positive ODE on any invariant boundary face, i.e. on the face defined by a siphon of an associated Chemical Reaction Net…
Relay transitions and invasion thresholds in multi-strain rumor models: a chemical reaction network approach
Florin Avram, Rim Adenane, Andrei-Dan Halanay
The historical quest for unifying the concepts and methods of Chemical Reaction Networks theory (CRNT), Mahematical Epidemiology (ME) and ecology has received increased attention i…
On the Similarity between Epidemiologic Strains, Minimal Self-Replicable Siphons, and autocatalytic cores in (Chemical) Reaction Networks: Towards a Unifying Framework
Florin Avram, Rim Adenane, Lasko Basnarkov +1
We aim to study boundary stability and persistence of positive odes in mathematical epidemiology models by importing structural tools from chemical reaction networks. This is large…
The Boundary Reproduction Number for Determining Boundary Steady State Stability in Chemical Reaction Systems
Matthew D. Johnston, Florin Avram
We introduce the boundary reproduction number, adapted from the next generation matrix method, to assess whether an infusion of species will persist or become exhausted in a chemic…
Advancing Mathematical Epidemiology and Chemical Reaction Network Theory via Synergies Between Them
Florin Avram, Rim Adenane, Mircea Neagu
Our paper reviews some key concepts in chemical reaction network theory and mathematical epidemiology, and examines their intersection, with three goals. The first is to make the c…
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…
Advancing Mathematical Epidemic Modeling via synergies with Chemical Reaction Network Theory and Lagrange-Hamilton Geometry
Florin Avram, Rim Adenane, Mircea Neagu
This essay reviews some key concepts in mathematical epidemiology and examines the intersection of this field with related scientific disciplines, such as chemical reaction network…
Finding bifurcations in mathematical epidemiology via reaction network methods
Nicola Vassena, Florin Avram, Rim Adenane
Mathematical Epidemiology (ME) shares with Chemical Reaction Network Theory (CRNT) the basic mathematical structure of its dynamical systems. Despite this central similarity, metho…
Algorithmic approach for an unique definition of the next generation matrix
Florin Avram, Rim Adenane, Lasko Basnarkov +1
The basic reproduction number R0 is a concept which originated in population dynamics, mathematical epidemiology, and ecology and is closely related to the mean number of children…
Dynamics of an SIR epidemic model with limited medical resources, revisited and corrected
Rim Adenane, Florin Avram, Mohamed El Fatini +1
This paper generalizes and corrects a famous paper (more than 200 citations) concerning Hopf and Bogdanov-Takens bifurcations due to L. Zhou and M. Fan, "Dynamics of an SIR epidemi…