Multiple equilibria in modeling open-lake algal dynamics
type: Item
instance of: scholarly article
title: Multiple equilibria in modeling open-lake algal dynamics
zbMATH Open document ID: 0663.92019
DOI: 10.1016/0895-7177(89)90436-6
author: S. H. Smith
published in: Mathematical and Computer Modelling
publication date: 1989-01-01T00:00:00Z
review text: The purpose of this study is to examine the apparent bifurcation phenomena and associated multiple stable states among several of the variables in an aquatic ecosystem. The study and the proposed catastrophe model should be viewed as limited to shallow aquatic ecosystems with no thermal stratification. At certain nutrient loading thresholds, algal dynamics in such lakes are found to undergo major changes over short periods of time. The study focuses on a theoretical model comprising 3 nonlinear, coupled ordinary differential equations with 11 parametrs. The equations for the biomass components of the system take into consideration biological interactions, but make no assumptions for the conservation of mass. Thus, the model differs from well-established lake ecosystem simulation models.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 58K35
Mathematics Subject Classification ID: 37G99
zbMATH DE Number: 4085482
zbMATH Keywords: bifurcation phenomena
zbMATH Keywords: multiple stable states
zbMATH Keywords: aquatic ecosystem
zbMATH Keywords: catastrophe model
zbMATH Keywords: nutrient loading thresholds
zbMATH Keywords: algal dynamics
zbMATH Keywords: nonlinear, coupled ordinary differential equations
zbMATH Keywords: biomass components
MaRDI profile type: Publication
full work available at URL: 0895-7177(89)90436-6
OpenAlex ID: W2065534316
cites work: Q4058507
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description: scientific article; zbMATH DE number 4085482