论文标题
深度和不断发展的速率对周期性不断发展的环境中浮游植物增长的影响
Effects of depth and evolving rate on phytoplankton growth in a periodically evolving environment
论文作者
论文摘要
在本文中，我们考虑了一种单一的浮游植物物种，该物种依靠光在周期性发展的环境中维持生命的代谢，其中光强度和死亡率取决于季节性变化触发的水柱深度。基于基本的复制号$ \ Mathcal {r} _0 $，建立了模型动力学的阈值类型结果。特别是，就垂直湍流扩散率，浮力或下沉速率以及水柱深度的不断发展的速率而言，$ \ Mathcal {r} _0 $的各种特征。我们的理论结果和数值模拟表明，较大的不断发展的速率，垂直扩散速率和水柱深度都对浮游植物的存活产生不利影响。
In this paper, we consider a single phytoplankton species which relies on the light for maintaining the metabolism of life in a periodically evolving environment, where the light intensity and the death rate depend on the water column depth triggered by seasonal variation. Based on the basic reproduction number $\mathcal{R}_0$, a threshold type result on the dynamics of the model is established. Especially, various features of $\mathcal{R}_0$ with respect to the vertical turbulent diffusion rate, the buoyant or sinking rate, and the evolving rate of water column depth are derived. Our theoretical results and numerical simulations show that big evolving rate, vertical diffusion rate and water column depth all have an adverse effect on survival of phytoplankton.
