Multiple steady-states in phytoplankton population induced by photoinhibition
Multiple steady-states in phytoplankton population induced by photoinhibition
复制标题
DOI：
10.1016/j.jde.2014.12.012
复制
发表时间：
2015-04
影响因子：
2.4
通讯作者：
Yihong Du;S. Hsu;Y. Lou
中科院分区：
文献类型：
--
作者：
Yihong Du;S. Hsu;Y. Lou
我们研究了光抑制的影响，在非本地反应扩散平流方程，该模型的动态的一个单一的浮游植物物种在水柱中的物种的生长完全取决于光。我们的结果表明，与没有光抑制的情况下，其中最多可以存在一个正的稳态，光抑制的模型具有至少两个正的稳态在一定的参数范围内。我们的方法涉及分歧理论和扰动减少的论点。
We study the effect of photoinhibition in a nonlocal reaction–diffusion–advection equation, which models the dynamics of a single phytoplankton species in a water column where the growth of the species depends solely on light. Our results show that, in contrast to the case of no photoinhibition, where at most one positive steady state can exist, the model with photoinhibition possesses at least two positive steady states in certain parameter ranges. Our approach involves bifurcation theory and perturbation–reduction arguments.