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.

中文翻译：

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具有边界平衡的某些化学反应扩散系统的复杂平衡均衡的收敛性

在本文中，我们研究了某些具有边界平衡的化学反应扩散系统的收敛到复平衡平衡的速率。首先，我们分析了一个三物种系统，该系统在某些化学计量的类别中具有边界平衡，并且其右手边在正正交上由二次非线性约束。对于具有边界平衡的相当普遍的两类可逆反应扩散网络，我们证明了收敛到正平衡的相似结果。