4 citations · 5 across the 4 of their papers we have counts for
5 papers
Autocatalysis and Boundary Stability in Chemical Reaction Systems
Matthew D. Johnston, Pol Jarne Cupons
The next-generation matrix method is a powerful tool for computing the basic reproduction number in compartmental mathematical models of infectious diseases. The method has been re…
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…
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…
Absolute concentration robustness: Algebra and geometry
Luis David García Puente, Elizabeth Gross, Heather A Harrington +4
Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robu…
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…