Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria
Analysis of PDEs
2018-12-20 v1
Abstract
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-species system with boundary equilibria in some stoichiometric classes, and whose right hand side is bounded above by a quadratic nonlinearity in the positive orthant. We prove similar results on the convergence to the positive equilibrium for a fairly general two-species reversible reaction-diffusion network with boundary equilibria.
Keywords
Cite
@article{arxiv.1812.07707,
title = {Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria},
author = {Gheorghe Craciun and Jiaxin Jin and Casian Pantea and Adrian Tudorascu},
journal= {arXiv preprint arXiv:1812.07707},
year = {2018}
}
Comments
27 pages