Du, Yihong

Hsu, Sze-Bi

2010

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.

SIAM Journal on Mathematical Analysis, 42(3), p. 1035-1333

1095-7154

0036-1410

https://hdl.handle.net/1959.11/7469

Society for Industrial and Applied Mathematics

On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth

Journal Article

Publication