The dynamics of a diffusive nutrient-algae model based upon the Sanyang wetland
type: Item
instance of: scholarly article
title: The dynamics of a diffusive nutrient-algae model based upon the Sanyang wetland
zbMATH Open document ID: 1394.92144
DOI: 10.1155/2015/251937
author: Yi Wang
author: Min Zhao
author: Chuanjun Dai
author: Yunli Deng
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 6925866
zbMATH Keywords: global stability
zbMATH Keywords: Turing instability
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/251937
OpenAlex ID: W2156350893
Wikidata QID: Q59117733
cites work: Spatiotemporal Complexity of Plankton and Fish Dynamics
cites work: Homoclinic bifurcation in semi-continuous dynamic systems
cites work: Dynamical complexity of a spatial phytoplankton-zooplankton model with an alternative prey and refuge effect
cites work: Existence, uniqueness and stability analysis of allelopathic stimulatory phytoplankton model
cites work: Numerical treatment of a nonlocal model for phytoplankton aggregation
cites work: Optimal Control of a Nutrient-Phytoplankton-Zooplankton-Fish System
cites work: Complex behavior in a fish algae consumption model with impulsive control strategy
cites work: Vertical distribution and composition of phytoplankton under the influence of an upper mixed layer
cites work: The vertical distribution of phytoplankton in stratified water columns
cites work: Phytoplankton-zooplankton dynamics in periodic environments taking into account eutrophication
cites work: Mathematical analysis of a three-dimensional eutrophication model
cites work: Complex patterns in a predator-prey model with self and cross-diffusion
cites work: Wave of chaos in a diffusive system: generating realistic patterns of patchiness in plankton-fish dynamics
cites work: Complex dynamical behavior of a predator-prey system with group defense
cites work: Effect of prey refuge on the spatiotemporal dynamics of a modified Leslie-Gower predator-prey system with Holling type III schemes
cites work: The chemical basis of morphogenesis
cites work: Nonlinear dynamics of a nutrient-plankton model
cites work: Stability analysis of diffusive predator-prey model with modified Leslie-Gower and Holling-type III schemes
cites work: Spatiotemporal dynamics of a Leslie-Gower predator-prey model incorporating a prey refuge
description: scientific article; zbMATH DE number 6925866