Article ID Journal Published Year Pages File Type
6417168 Journal of Differential Equations 2015 37 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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