The Dynamics of a Diffusive Nutrient-Algae Model Based upon the Sanyang Wetland

Abstract

The stability and spatiotemporal dynamics of a diffusive nutrient-algae model are investigated mathematically and numerically. Mathematical theoretical studies have considered the positivity and boundedness of the solution and the existence, local stability, and global stability of equilibria. Turing instability has also been studied. Furthermore, a series of numerical simulations was performed and a complex Turing pattern found. These results indicate that the nutrient input rate has an important influence on the density and spatial distribution of algae populations. This may help us to obtain a better understanding of the interactions of nutrient and algae and to investigate plankton dynamics in aquatic ecosystems.

Dynamic analysis of time fractional order phytoplankton–toxic phytoplankton–zooplankton system

“…Their results indicate that the underlying mechanism ensures that the toxic phytoplankton group does not drive the zooplankton population toward extinction. For some recent results on the topic, we refer the reader to Javidi and Nyamoradi (2014), Wang et al (2014), Rehim et al (2015) and Wang et al (2015).…”

Complex Dynamics of Wetland Ecosystem with Nonlinear Harvesting: Application to Chilika Lake in Odisha, India

“…Wang et al [2015] developed a diffusive nutrient-algae model for modeling the Sanyang wetland, China and found that the nutrient input rate has an important influence on the density and spatial distribution of algae population. Small fishes provide the crucial food base for higher trophic levels such as wading birds .…”