CONVERGENCE TO THE COMPLEX BALANCED EQUILIBRIUM FOR SOME CHEMICAL REACTION-DIFFUSION SYSTEMS WITH BOUNDARY EQUILIBRIA

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.

Automated summary

This paper examines the rate of convergence to complex balanced equilibrium in chemical reaction-diffusion systems with boundary equilibria. The study focuses on a three-species system and a two-species reversible reaction-diffusion network, proving results on convergence to positive equilibrium.