Phytoplankton Competition for Nutrients and Light in a Stratified Lake: A Mathematical Model Connecting Epilimnion and Hypolimnion
Phytoplankton Competition for Nutrients and Light in a Stratified Lake: A Mathematical Model Connecting Epilimnion and Hypolimnion
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DOI：
10.1007/s00332-021-09693-6
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发表时间：
2021-03
影响因子：
3
通讯作者：
Jimin Zhang;J. Kong;Junping Shi;Hao Wang
中科院分区：
文献类型：
--
作者：
Jimin Zhang;J. Kong;Junping Shi;Hao Wang
本文提出了一个连接上层和下层的数学模型来描述分层湖泊中浮游植物对营养盐和光照的竞争。非负稳态解的存在性和稳定性的完全特征在于所有可能的参数范围内的稳定性分析，分歧理论，和广泛的模拟。建立了浮游植物细胞在温跃层中的沉降速度和浮游植物损失率的临界阈值，决定了浮游植物在上层和下层的生存或灭绝。特别是，它表明，在两个极端的情况下，竞争排斥的原则始终保持在分层湖。通过系统的敏感性分析，我们还考虑了环境参数对浮游植物垂直分布和生物量密度的影响，并探讨了它们在浮游植物水华中的作用。这些结果可用于预测分层湖泊中浮游植物的竞争和水华。
A mathematical model connecting epilimnion and hypolimnion is proposed to describe the competition of phytoplankton for nutrients and light in a stratified lake. The existence and stability of nonnegative steady-state solutions are completely characterized for all possible parameter ranges by means of stability analysis, bifurcation theory, and extensive simulations. The critical thresholds for settling speed of phytoplankton cells in the thermocline and the loss rate of phytoplankton are established, which determine the survival or extirpation of phytoplankton in epilimnion and hypolimnion. In particular, it is shown that in two extreme cases, the principle of competitive exclusion always holds in a stratified lake. We also consider the influence of environmental parameters on the vertical distribution and biomass density of phytoplankton via a systematic sensitivity analysis, and investigate their roles in phytoplankton blooms. These results can be used for the prediction of phytoplankton competition and blooms in a stratified lake.