Mathematical modelling has become an established tool for studying the dynamics of
biological systems. Current applications range from building models that reproduce …

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 …

We prove a sample path Large Deviation Principle (LDP) for a class of jump processes
whose rates are not uniformly Lipschitz continuous in phase space. Building on it, we further …

In this essay, we investigate some relations between Chemical Reaction Networks (CRN)
and Mathematical Epidemiology (ME) and report on several pleasant surprises which we …

A persistent dynamical system in R^d_>0 is one whose solutions have positive lower
bounds for large t, while a permanent dynamical system in R^d_>0 is one whose solutions …

Motivated by the concept of the endotactic network, a kind of special geometric structure in
chemical reaction networks developed for persistence analysis, we propose a new notion …

An important dynamical property of biological interaction networks is persistence, which
intuitively means that “no species goes extinct." It has been conjectured that dynamical …

We study chemical reaction networks with discrete state spaces and present sufficient
conditions on the structure of the network that guarantee the system exhibits an extinction …

We determine sufficient conditions for uniform and strict persistence in the case of skew-
product semiflows generated by solutions of non-autonomous families of cooperative …

We consider the problem of analyzing chemical reaction networks that may allow multiple
positive steady states. We use tools from “classical” computer algebra (Gröbner bases over …