7 citations · 7 across the 2 of their papers we have counts for
4 papers
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…