| Author(s) |
Du, Yihong
Hsu, Sze-Bi
|
| Publication Date |
2008
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| Abstract |
This is Part II of our study on the positive steady state of a quasi-linear reaction-diffusion system in one space dimension introduced by Klausmeier and Litchman for the modelling of the distributions of phytoplankton biomass and its nutrient. In Part I, we proved nearly optimal existence and nonexistence results. In Part II, we obtain complete descriptions of the profile of the solutions when the coefficient of the drifting term is large, rigorously proving the numerically observed phenomenon of concentration of biomass for this model. Moreover, we reveal four critical numbers for the model and provide further insights to the problem being modelled.
|
| Citation |
SIAM Journal on Mathematical Analysis, 40(4), p. 1441-1470
|
| ISSN |
1095-7154
0036-1410
|
| Link | |
| Publisher |
Society for Industrial and Applied Mathematics
|
| Title |
Concentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton II: Limiting profile
|
| Type of document |
Journal Article
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| Entity Type |
Publication
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| Name | Size | format | Description | Link |
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