论文标题

具有可变养分输入和可变冲洗量的化学恒定的持久性标准,生长延迟响应延迟

Persistence criteria for a chemostat with variable nutrient input and variable washout with delayed response in growth

论文作者

Cartabia, Mauro Rodriguez

论文摘要

我们研究了一个通用化学仪模型,在消费和增长之间具有离散的时间延迟。本文的目的是为持久性提供足够的必要条件。这扩展了此事以前的工作。此外,在特殊的周期性营养输入和同一周期性冲洗量中,生长响应延迟,持久性标准是平均标准。我们在任何情况下都不需要对延迟大小施加任何限制。

We study a general chemostat model with a discrete-time delay between consumption and growth. The goal of this article is to provide sufficient and necessary conditions for persistence. This extends previous works in the matter. Furthermore, in the particular case of periodic nutrient input and the same periodic washout with delayed response in growth, the persistence criteria are average criteria. We remark in no case we need to impose any restrictions on the size of the delay.

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