Qualitative analysis of the moving boundary problem for a biofilm reactor model

DOI10.1016/J.JMAA.2016.02.008zbMath1382.35309OpenAlexW2255228210MaRDI QIDQ5962959

Luigi Frunzo, Berardino D'Acunto, Maria Rosaria Mattei

Publication date: 25 February 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.02.008

zbMATH Keywords

biofilm reactorfree boundary value problemsmultispecies biofilmsnonlinear hyperbolic partial differential equations

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biophysics (92C05) Ecology (92D40) Free boundary problems for PDEs (35R35) Volterra integral equations (45D05)

Related Items (7)

A structure-preserving method for the distribution of the first hitting time to a moving boundary for some Gaussian processes ⋮ Continuum approach to mathematical modelling of multispecies biofilms ⋮ Qualitative analysis of the invasion free boundary problem in biofilms ⋮ The Effect of Cell Death on the Stability of a Growing Biofilm ⋮ Continuum and discrete approach in modeling biofilm development and structure: a review ⋮ Invasion moving boundary problem for a biofilm reactor model ⋮ Mathematical modeling of dispersal phenomenon in biofilms

Cites Work

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• A multidimensional multispecies continuum model for heterogeneous biofilm development
• A modeling and simulation study of the role of suspended microbial populations in nitrification in a biofilm reactor
• A New Deterministic Spatio-Temporal Continuum Model for Biofilm Development
• Analysis of a moving boundary value problem arising in biofilm modelling
• Analysis of Adaptive Response to Dosing Protocols for Biofilm Control

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