2 citations · 3 across the 3 of their papers we have counts for
6 papers
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…
Damping of kinetic transport equation with diffuse boundary condition
Jiaxin Jin, Chanwoo Kim
We prove that exponential moments of a fluctuation of the pure transport equation decay pointwisely almost as fast as when the domain is any general strictly convex subset…
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…
Instability of boundary equilibrium for Reaction-Diffusion system of a complex-balanced reaction network
Jiaxin Jin
In this paper we study the local instability to the boundary equilibria and the local stability to the positive equilibria for some chemical reaction-diffusion systems. We first an…
Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria
Gheorghe Craciun, Jiaxin Jin, Casian Pantea +1
In this paper we study the rate of convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria. We first analyze a three-s…
An efficient characterization of complex-balanced, detailed-balanced, and weakly reversible systems
Gheorghe Craciun, Jiaxin Jin, Polly Y. Yu
Very often, models in biology, chemistry, physics, and engineering are systems of polynomial or power-law ordinary differential equations, arising from a reaction network. Such dyn…