title: Delay-induced instability in a nutrient-phytoplankton system with flow.
abstract: In this paper, a nutrient-phytoplankton system described by a couple of advection-diffusion-reaction equations with delay was studied analytically and numerically. The aim of this research was to provide an understanding of the impact of delay on instability. Significantly, delay cannot only induce instability, but can also promote the formation of spatial pattern via a Turing-like instability. In addition, the theoretical analysis indicates that the flow (advection term) may lead to instability when the delay term exists. By comparison, diffusion cannot result in Turing instability when flow does not exist. Results of numerical simulation were consistent with the analytical results.
authors: Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China.|School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China.|Alkali Soil Natural Environmental Science Center, Northeast Forestry University, Key Laboratory of Saline-Alkali Vegetation Ecology Restoration in Oil Field, Ministry of Education, Harbin, Heilongjiang 150040, China.
authors: Chuanjun
authors: C
authors: Dai
authors: Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China.|School of Life and Environmental Science, Wenzhou University, Wenzhou, Zhejiang 325035, China.
authors: Min
authors: M
authors: Zhao
authors: Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China.
authors: Hengguo
authors: H
authors: Yu
authors: Zhejiang Provincial Key Laboratory for Water Environment and Marine Biological Resources Protection, Wenzhou University, Wenzhou, Zhejiang 325035, China.
authors: Yapei
authors: Y
authors: Wang
mesh_terms: D018533:Biomass; D004058:Diffusion; D055669:Ecological and Environmental Phenomena; D057446:Hydrodynamics; D008962:Models, Theoretical; D010839:Phytoplankton