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arXiv · 1910.14569

Instability of boundary equilibrium for Reaction-Diffusion system of a complex-balanced reaction network

Jiaxin Jin
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Abstract

In this paper we study the local instability to the boundary equilibria and the local stability to the positive equilibria for some chemical reaction-diffusion systems. We first analyze a three-species system with boundary equilibria in some stoichiometric classes. Then We prove the convergence to the positive equilibria for a general reversible reaction-diffusion network as long as the initial data is closed enough to the the positive equilibria.

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Jiaxin Jin. 2019-10-31. Instability of boundary equilibrium for Reaction-Diffusion system of a complex-balanced reaction network. https://arxiv.org/abs/1910.14569

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