A pivotal eigenvalue problem in river ecology

作者：Hsu, Sze-Bi; Lopez-Gomez, Julian^*; Mei, Linfeng; Wang, Feng-Bin

来源：Journal of Differential Equations, 2015, 259(6): 2280-2316.

DOI：10.1016/j.jde.2015.03.028

• Principal eigenvalue
• Hydraulic storage zone
• Light limitation
• Steady states
• Global attractivity
• Uniform persistence

This paper studies an eigenvalue problem associated with a linear parabolic equation and a coupled ordinary differential equation. The existence and the uniqueness of the principal eigenvalue for this eigenvalue problem is first established. Then, the qualitative dependence of the principal eigenvalue with respect to the several parameters involved in the system is analyzed. Finally, these results are applied to a system in flowing habitats with a hydraulic storage zone and light limitation.

• 出版日期2015-9-15
• 单位长春大学; 河南师范大学; 清华大学