A pivotal eigenvalue problem in river ecology

Sze Bi Hsu; Julián López-Gómez; Linfeng Mei; Feng Bin Wang

doi:10.1016/j.jde.2015.03.028

A pivotal eigenvalue problem in river ecology

Sze Bi Hsu
, Julián López-Gómez^*
, Linfeng Mei
, Feng Bin Wang

^*Corresponding author for this work

Center for General Education

Research output: Contribution to journal › Journal Article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	2280-2316
Number of pages	37
Journal	Journal of Differential Equations
Volume	259
Issue number	6
DOIs	https://doi.org/10.1016/j.jde.2015.03.028
State	Published - 15 09 2015

Bibliographical note

Publisher Copyright:
© 2015 Elsevier Inc..

Keywords

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

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10.1016/j.jde.2015.03.028

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title = "A pivotal eigenvalue problem in river ecology",

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.",

keywords = "Global attractivity, Hydraulic storage zone, Light limitation, Principal eigenvalue, Steady states, Uniform persistence",

author = "Hsu, \{Sze Bi\} and Juli{\'a}n L{\'o}pez-G{\'o}mez and Linfeng Mei and Wang, \{Feng Bin\}",

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AU - Hsu, Sze Bi

AU - López-Gómez, Julián

AU - Mei, Linfeng

AU - Wang, Feng Bin

PY - 2015/9/15

Y1 - 2015/9/15

N2 - 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.

AB - 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.

KW - Global attractivity

KW - Hydraulic storage zone

KW - Light limitation

KW - Principal eigenvalue

KW - Steady states

KW - Uniform persistence

UR - https://www.scopus.com/pages/publications/84930536523

U2 - 10.1016/j.jde.2015.03.028

DO - 10.1016/j.jde.2015.03.028

M3 - 文章

AN - SCOPUS:84930536523

SN - 0022-0396

VL - 259

SP - 2280

EP - 2316

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 6

ER -

A pivotal eigenvalue problem in river ecology

Abstract

Bibliographical note

Keywords

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