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双营养物的非均匀Chemostat模型解的性质
恒化器 分歧 稳定性
2013/10/19
本文讨论双营养物的非均匀Chemostat模型解的性质.通过运用极值原理,上下解方法以及分歧理论得到了正平衡解的存在性,运用稳定性理论证明了正平衡解的稳定性.
Analysis of a mathematical model of syntrophic bacteria in a chemostat
Syntrophic relationship Mathematical modelling Coexistence Asymptotic stability Anaerobic digestion
2011/9/23
Abstract: A mathematical model involving a syntrophic relationship between two populations of bacteria in a continuous culture is proposed. A detailed qualitative analysis is carried out. The local an...
Effects of spatial structure and diffusion on the performances of the chemostat
spatial structure the chemostat
2010/11/22
Given hydric capacity and nutrient flow of a chemostat-like system, we analyse the influence of a spatial structure on the output concentrations at steady-state. Three configurations are compared: pe...
考虑了一类具有时滞和可变营养消耗率、增长函数为比率确定型的微生物连续培养模型.
首先,详细地讨论了解的存在性、有界性、平衡点的局部渐近稳定性以及Hopf分支.
其次, 利用 Lyapunov-LaSalle 不变性原理证明了边界平衡点的全局渐近性.
最后, 利用时滞微分系统解的极限集的一些性质,
证明了当正平衡点存在时，对任意时滞系统是一致持久的.
Element content ofPseudomonas fluorescensvaries with growth rate and temperature: A replicated chemostat study addressing ecological stoichiometry
Element content Pseudomonas fluorescensvaries growth rate temperature replicated chemostat ecological stoichiometry
2014/4/18
Ecological stoichiometry is emerging as a central organizing framework upon which our perceptions of aquatic trophic dynamics are being reshaped. The microbial component of aquatic systems is crucial ...
STABILITY OF STEADY-STATE SOLUTIONS OF THE COMPETITION MODEL IN THE CHEMOSTAT
linear stability steady-state solutions
2007/8/7
By means of the perturbation theorem of simple eigenvalue of linear operator and the stability theorem of bifurcation solutions, we discuss one of the open questions pointed out in [1], and prove that...