This paper analytically investigates a nonlocal system of reaction-diffusion-advection equations modeling the competition of two phytoplankton species for a limiting nutrient and light in a water column, where dead phytoplankton species can get recycled back into the system as a resource for growth. The threshold dynamics of the single population model is first established. Then the utilization of abstract persistence theory enables us to show that two species population system admits a coexistence steady state and the system is uniformly persistent if the trivial steady state and two global attractors on the boundary are all weak repellers.

中文翻译：

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水柱中浮游植物对光和养分竞争与竞争的动力学

本文分析性地研究了一个非局部反应扩散对流方程系统，该方程系统模拟了两种浮游植物在水柱中对有限养分和光的竞争，在那里死的浮游植物可以循环回系统中作为生长资源。首先建立单一人口模型的阈值动态。然后，利用抽象的持久性理论使我们能够证明，如果琐碎的稳态和边界上的两个整体吸引子都是弱排斥者，则两个物种种群系统都承认并存稳态并且该系统是一致持久的。