A stoichiometric organic matter decomposition model in a chemostat culture

DOI10.1007/s00285-017-1152-3zbMath1383.34072OpenAlexW2731311105WikidataQ46342501 ScholiaQ46342501MaRDI QIDQ681655

Hao Wang, Jude Dzevela Kong, Paul L. Salceanu

Publication date: 12 February 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-017-1152-3

zbMATH Keywords

sensitivity analysisbifurcationpersistencechemostatstoichiometryorganic matterbiodegradationmicroorganism

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) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Algae-bacteria interactions with nutrients and light: a reaction-diffusion-advection model ⋮ Spatial modeling and dynamics of organic matter biodegradation in the absence or presence of bacterivorous grazing ⋮ On the Dynamics of a Diffusive Foot-and-Mouth Disease Model with Nonlocal Infections ⋮ Transient Dynamics of a Stoichiometric Cyanobacteria Model via Multiple-Scale Analysis ⋮ A data-validated stoichiometric model for the priming effect ⋮ Dynamics of stoichiometric autotroph-mixotroph-bacteria interactions in the epilimnion ⋮ \(R_0\) and sensitivity analysis of a predator-prey model with seasonality and maturation delay

Uses Software

• MATCONT
• CL_MATCONT

Cites Work

• Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
• Complex dynamic behaviour of autonomous microbial food chains
• Robust uniform persistence in discrete and continuous dynamical systems using Lyapunov exponents
• The Theory of the Chemostat
• Dynamics of Stoichiometric Bacteria-Algae Interactions in the Epilimnion

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