论文标题
藻类生长的模型，具体取决于养分和无机碳的混合水柱中的无机碳
Model of Algal Growth Depending on Nutrients and Inorganic Carbon in a Poorly Mixed Water Column
论文作者
论文摘要
在本文中，我们建立了一个反应 - 泛化的部分微分方程模型，以描述藻类在不良的水柱中的营养和无机碳的不同。水底的营养和水面的无机碳形成了藻类生长的不对称资源供应机制。该模型的半平整稳态和共存稳态的存在和稳定性被证明，并建立了从灭绝向藻类存活的政权转移的阈值条件。在水柱中研究了环境参数对藻类垂直分布的影响。结果表明，在养分和无机碳的联合限制下，藻类的垂直分布可以表现出许多不同的特征。
In this paper, we establish a reaction-diffusion-advection partial differential equation model to describe the growth of algae depending on both nutrients and inorganic carbon in a poorly mixed water column. Nutrients from the water bottom and inorganic carbon from the water surface form an asymmetric resource supply mechanism on the algal growth. The existence and stability of semi-trivial steady state and coexistence steady state of the model are proved, and a threshold condition for the regime shift from extinction to survival of algae is established. The influence of environmental parameters on the vertical distribution of algae is investigated in the water column. It is shown that the vertical distribution of algae can exhibit many different profiles under the joint limitation of nutrients and inorganic carbon.
