Nonlinear analysis in a nutrient-algae-zooplankton system with sinking of algae
type: Item
instance of: scholarly article
title: Nonlinear analysis in a nutrient-algae-zooplankton system with sinking of algae
zbMATH Open document ID: 1470.92236
DOI: 10.1155/2014/278457
author: Chuanjun Dai
author: Min Zhao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: A reaction-diffusion-advection model is proposed for the Zeya Reservoir to study interactions between algae and zooplankton, including the diffusive spread of algae and zooplankton and the sinking of algae. The model is investigated both with and without sinking. Conditions of Hopf and Turing bifurcation in the spatial domain are obtained, and conditions for differential-flow instability that gives rise to the formation of spatial patterns are derived. Using numerical simulation, the authors examine the impacts on algae of different nutrient concentrations, different sinking rates, and various diffusive spreading patterns. Finally, the models with and without sinking are compared, revealing that the sinking of algae plays an important role in the oscillations of algae and zooplankton. All these results may help to achieve a better understanding of the impact of algae in the Zeya Reservoir.
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 35K40
Mathematics Subject Classification ID: 35K57
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 7022073
Wikidata QID: Q59037506
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/278457
OpenAlex ID: W2061904952
cites work: Bifurcations and periodic solutions for an algae-fish semicontinuous system
cites work: Nonlinear dynamics of a nutrient-plankton model
cites work: Spatiotemporal Complexity of Plankton and Fish Dynamics
cites work: The chemical basis of morphogenesis
cites work: Q4274312
cites work: Spatio-temporal pattern formation in coupled models of plankton dynamics and fish school motion
cites work: About deterministic extinction in ratio-dependent predator-prey models
cites work: Global qualitative analysis of a ratio-dependent predator-prey system
cites work: Ratio-dependent predator-prey models of interacting populations
cites work: Spatiotemporal dynamics in a diffusive ratio-dependent predator-prey model near a Hopf-Turing bifurcation point
description: scientific article; zbMATH DE number 7022073