具有可变产量的恒化器的全局动力学
Global dynamics of the chemostat with variable yields
摘要：
本文考虑了一类具有单调和非单调响应函数、不同去除率和可变产量的恒化器中$n$种群间的竞争模型.我们表明，只有最低的盈亏平衡浓度的物种生存，提供了额外的技术条件的增长功能和产量得到满足。LaSalle推广定理是李雅普诺夫稳定性理论的主要工具。
英文摘要：
In this paper, we consider a competition model between $n$ species in a chemostat including both monotone and non-monotone response functions, distinct removal rates and variable yields. We show that only the species with the lowest break-even concentration survives, provided that additional technical conditions on the growth functions and yields are satisfied. LaSalle's extension theorem of the Lyapunov stability theory is the main tool.
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