Practical coexistence of two species in the chemostat - A slow-fast characterization
Practical coexistence of two species in the chemostat - A slow-fast characterization
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DOI：
10.1016/j.mbs.2008.12.003
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发表时间：
2009-03-01
影响因子：
4.3
通讯作者：
Rapaport, Alain
中科院分区：
文献类型：
--
作者：
El Hajji, Miled;Rapaport, Alain
我们证明了具有不同但接近盈亏平衡浓度的两个物种的恒化器模型表现出慢-快动力学。考虑到小扰动的稀释率的盈亏平衡浓度是相同的，我们使用Fenichel理论来显示物种的共存时间很长。然后，我们确定减少的动态，这是不平凡的，其特征在于其盈亏平衡浓度的增长函数的斜率。(C)2008年爱思唯尔公司All rights reserved.
We show that the chemostat model with two species having different but close break-even concentrations exhibits a slow-fast dynamics. Considering small perturbations about the dilution rate for which break-even concentrations are identical, we use the Fenichel theory to show the coexistence of species for large times. Then we determine the reduced dynamics, which is non-trivial and characterized by the slopes of the growth functions about their break-even concentrations. (C) 2008 Elsevier Inc. All rights reserved.