66 citations · 178 across the 46 of their papers we have counts for
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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…
Mathematical Analysis of Chemical Reaction Systems
Polly Y. Yu, Gheorghe Craciun
The use of mathematical methods for the analysis of chemical reaction systems has a very long history, and involves many types of models: deterministic versus stochastic, continuou…
A generalization of Birch's theorem and vertex-balanced steady states for generalized mass-action systems
Gheorghe Craciun, Stefan Muller, Casian Pantea +1
Mass-action kinetics and its generalizations appear in mathematical models of (bio-)chemical reaction networks, population dynamics, and epidemiology. The dynamical systems arising…