Convergence to the complex balanced equilibrium for some chemical\n reaction-diffusion systems with boundary equilibria

2018/12/18 by Gheorghe Crăciun, Jiaxin Jin, Craciun, Gheorghe +5
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #35B40 #35K57 #35Q92 #80A30 #80A32 #Analysis of PDEs (math.AP) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models

paper · pdf · doi:10.48550/arxiv.1812.07707

openalex publication_date 2018/12/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study the rate of convergence to the complex balanced\nequilibrium for some chemical reaction-diffusion systems with boundary\nequilibria. We first analyze a three-species system with boundary equilibria in\nsome stoichiometric classes, and whose right hand side is bounded above by a\nquadratic nonlinearity in the positive orthant. We prove similar results on the\nconvergence to the positive equilibrium for a fairly general two-species\nreversible reaction-diffusion network with boundary equilibria.\n

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