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### Title: 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.

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