Global stability in chemostat-type plankton models with delayed nutrient recycling
Global stability in chemostat-type plankton models with delayed nutrient recycling
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DOI：
10.1007/s002850050128
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发表时间：
1998-09
影响因子：
1.9
通讯作者：
Xue-zhong He;S. Ruan
中科院分区：
文献类型：
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作者：
Xue-zhong He;S. Ruan
在本文中，我们考虑恒化器型浮游生物模型中，浮游生物饲料上的限制营养和营养是以恒定的速度供应，并部分回收后，浮游生物死亡的细菌分解。我们使用一个分布式的延迟来描述养分循环和离散延迟模型的营养吸收的非稳态生长响应。当一个或两个时滞同时存在时，通过构造Liapunov泛函，得到了正平衡点全局吸引的充分条件，这些充分条件可作为时滞对全局吸引持久性的估计.
In this paper, we consider chemostat-type plankton models in which plankton feeds on a limiting nutrient and the nutrient is supplied at a constant rate and is partially recycled after the death of plankton by bacterial decomposition. We use a distributed delay to describe nutrient recycling and a discrete delay to model the planktonic growth response to nutrient uptake. When one or both delays occur, by constructing Liapunov functionals, we obtain some sufficient conditions for the global attractivity of the positive equilibrium, which can be regarded as estimates of the delays for persistence of global attractivity.