Global Analysis of a Simplified Model of Anaerobic Digestion and a New Result for the Chemostat

DOI10.1137/18M1198788zbMath1412.34161arXiv1903.01257WikidataQ128071310 ScholiaQ128071310MaRDI QIDQ4631720

Gail S. K. Wolkowicz, Tyler Meadows, Marion Weedermann

Publication date: 18 April 2019

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

Full work available at URL: https://arxiv.org/abs/1903.01257

zbMATH Keywords

Lyapunov functionstochastic simulationschemostatanaerobic digestionglobal stability analysisbiogas production

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Related Items (4)

A stochastic chemostat model with mean-reverting Ornstein-Uhlenbeck process and Monod-Haldane response function ⋮ A Mathematical Model of Anaerobic Digestion with Syntrophic Relationship, Substrate Inhibition, and Distinct Removal Rates ⋮ Mathematical Analysis of a Three-Tiered Model of Anaerobic Digestion ⋮ A moving-boundary model of reactive settling in wastewater treatment. I: governing equations

Uses Software

• Maple
• Matlab

Cites Work

• Bifurcation and stability analysis of an anaerobic digestion model
• Some mathematical problems concerning the ecological principle of competitive exclusion
• Asymptotically autonomous differential equations in the plane. II: Stricter Poincaré/Bendixson type results
• Ergodic property of the chemostat: a stochastic model under regime switching and with general response function
• A mathematical study of a syntrophic relationship of a model of anaerobic digestion process
• Asymptotic behavior of a chemostat model with stochastic perturbation on the dilution rate
• Exclusion and persistence in deterministic and stochastic chemostat models
• Understanding Maple
• Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition
• A Mathematical Model of the Chemostat with a General Class of Functions Describing Nutrient Uptake
• Global Dynamics of a Mathematical Model of Competition in the Chemostat: General Response Functions and Differential Death Rates
• The Chemostat
• The Theory of the Chemostat

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