Du, Yihong; Hsu, Sze-Bi; Lou, Yuan

Author(s)

Du, Yihong

Hsu, Sze-Bi

Lou, Yuan

Publication Date

2015

Abstract

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.

Citation

Journal of Differential Equations, 258(7), p. 2408-2434

ISSN

1090-2732

0022-0396

Link

https://hdl.handle.net/1959.11/18393

Publisher

Academic Press

Title

Multiple steady-states in phytoplankton population induced by photoinhibition

Type of document

Journal Article

Entity Type

Publication

Author(s)	Du, Yihong Hsu, Sze-Bi Lou, Yuan
Publication Date	2015
Abstract	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.
Citation	Journal of Differential Equations, 258(7), p. 2408-2434
ISSN	1090-2732 0022-0396
Link	https://hdl.handle.net/1959.11/18393
Publisher	Academic Press
Title	Multiple steady-states in phytoplankton population induced by photoinhibition
Type of document	Journal Article
Entity Type	Publication

Multiple steady-states in phytoplankton population induced by photoinhibition

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