Multiple steady-states in phytoplankton population induced by photoinhibition

Title
Multiple steady-states in phytoplankton population induced by photoinhibition
Publication Date
2015
Author(s)
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Hsu, Sze-Bi
Lou, Yuan
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Academic Press
Place of publication
United States of America
DOI
10.1016/j.jde.2014.12.012
UNE publication id
une:18597
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.
Link
Citation
Journal of Differential Equations, 258(7), p. 2408-2434
ISSN
1090-2732
0022-0396
Start page
2408
End page
2434

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