Mathematical Analysis of a Three-Tiered Model of Anaerobic Digestion

DOI10.1137/20M1353897zbMath1471.34095OpenAlexW3163844329MaRDI QIDQ4997158

Nahla Abdellatif, Radhouane Fekih-Salem, Sarra Nouaoura, Tewfik Sari

Publication date: 28 June 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1353897

zbMATH Keywords

limit cycleHopf bifurcationchemostatanaerobic digestionchlorophenol mineralizationLiénard-Chipart stability criterion

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Biochemistry, molecular biology (92C40) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (4)

Rich dynamics of a three-tiered anaerobic food-web in a chemostat with multiple substrate inflow ⋮ A Mathematical Model of Anaerobic Digestion with Syntrophic Relationship, Substrate Inhibition, and Distinct Removal Rates ⋮ Operating diagrams for a three-tiered microbial food web in the chemostat ⋮ Mortality can produce limit cycles in density-dependent models with a predator-prey relationship

Cites Work

• Unnamed Item
• Unnamed Item
• A model of a syntrophic relationship between two microbial species in a chemostat including maintenance
• Emergent behaviour in a chlorophenol-mineralising three-tiered microbial `food web'
• Steady state multiplicity of two-step biological conversion systems with general kinetics
• Substrate degradation by a mutualistic association of two species in the chemostat
• A mathematical study of a syntrophic relationship of a model of anaerobic digestion process
• The mathematical analysis of a syntrophic relationship between two microbial species in a chemostat
• Rich dynamics of a three-tiered anaerobic food-web in a chemostat with multiple substrate inflow
• Mathematical analysis of a three-tiered food-web in the chemostat
• Generalised approach to modelling a three-tiered microbial food-web
• Maintenance affects the stability of a two-tiered microbial `food chain'?
• Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition
• Steady state analysis of a syntrophic model: the effect of a new input substrate concentration
• Global Analysis of a Simplified Model of Anaerobic Digestion and a New Result for the Chemostat
• Modeling and Analysis of an Absorption Column Connected to a Microalgae Culture

This page was built for publication: Mathematical Analysis of a Three-Tiered Model of Anaerobic Digestion