10 papers
Global stability of perturbed complex-balanced systems
Polly Y. Yu
A class of polynomial dynamical systems called complex-balanced are locally stable and conjectured to be globally stable. In general, complex-balancing is not a robust property, i.…
An algorithm for finding weakly reversible deficiency zero realizations of polynomial dynamical systems
Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu
Systems of differential equations with polynomial right-hand sides are very common in applications. On the other hand, their mathematical analysis is very challenging in general, d…
A graph-theoretic condition for delay stability of reaction systems
Gheorghe Craciun, Maya Mincheva, Casian Pantea +1
Delay mass-action systems provide a model of chemical kinetics when past states influence the current dynamics. In this work, we provide a graph-theoretic condition for delay stabi…
Autocatalytic systems and recombination: a reaction network perspective
Gheorghe Craciun, Abhishek Deshpande, Badal Joshi +1
Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manf…
Single-Target Networks
Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu
We characterize the dynamics of all single-target networks under mass-action kinetics: either the system is (i) globally stable for all choice of rate constants (in fact, dynamical…
Delay stability of reaction systems
Gheorghe Craciun, Maya Mincheva, Casian Pantea +1
Delay differential equations are used as a model when the effect of past states has to be taken into account. In this work we consider delay models of chemical reaction networks wi…