| Author(s) |
Du, Yihong
Hsu, Sze-Bi
|
| Publication Date |
2010
|
| Abstract |
In this paper we analyze a nonlocal reaction-diffusion model which arises from the modeling of competition of phytoplankton species with incomplete mixing in a water column. The nonlocal nonlinearity in the model describes the light limitation for the growth of the phytoplankton species. We first consider the single-species case and obtain a complete description of the long-time dynamical behavior of the model. Then we study the two-species competition model and obtain sufficient conditions for the existence of positive steady states and uniform persistence of the dynamical system. Our approach is based on a new modified comparison principle, fixed point index theory, global bifurcation arguments, elliptic and parabolic estimates, and various analytical techniques.
|
| Citation |
SIAM Journal on Mathematical Analysis, 42(3), p. 1035-1333
|
| ISSN |
1095-7154
0036-1410
|
| Link | |
| Language |
en
|
| Publisher |
Society for Industrial and Applied Mathematics
|
| Title |
On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth
|
| Type of document |
Journal Article
|
| Entity Type |
Publication
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