Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria
Convergence to the complex balanced equilibrium for some chemical reaction-diffusion systems with boundary equilibria
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DOI：
10.3934/dcdsb.2020164
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发表时间：
2018-12
期刊：
影响因子：
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通讯作者：
G. Craciun;Jiaxin Jin;Casian Pantea;A. Tudorascu
中科院分区：
文献类型：
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作者：
G. Craciun;Jiaxin Jin;Casian Pantea;A. Tudorascu
在本文中，我们研究了一些具有边界平衡的化学反应扩散系统的复杂平衡平衡的收敛速度。我们首先分析在某些化学计量类别中具有边界平衡的三物种系统，其右侧以正正交的二次非线性为界。我们证明了具有边界平衡的相当一般的二种可逆反应扩散网络收敛到正平衡的类似结果。
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.