Parameter identification and sensitivity analysis for a phytoplankton competition model

DOI10.1090/QAM/1514zbMath1404.35462OpenAlexW2888851043MaRDI QIDQ4554150

Nicholas Myers, Gabriella A. Pintér, Thomas Stojsavljevic, István G. Laukó

Publication date: 8 November 2018

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/qam/1514

zbMATH Keywords

optimizationglobal sensitivitylight and nutrientsphytoplankton competition model

Mathematics Subject Classification ID

Epidemiology (92D30) Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving partial differential equations (49K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Inverse problems for PDEs (35R30) Plant biology (92C80)

Uses Software

• fminsearch
• MATLAB ODE suite

Cites Work

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• Traveling bands of chemotactic bacteria: a theoretical analysis
• Behind and beyond the MATLAB ODE suite
• The vertical distribution of phytoplankton in stratified water columns
• Modelling and estimating uncertainty in parameter estimation
• On a nonlocal reaction–diffusion–advection equation modelling phytoplankton dynamics
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
• Concentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton I: Existence
• Concentration Phenomena in a Nonlocal Quasi-linear Problem Modelling Phytoplankton II: Limiting Profile
• On a Nonlocal Reaction-Diffusion Problem Arising from the Modeling of Phytoplankton Growth
• Parameter Selection and Verification Techniques Based on Global Sensitivity Analysis Illustrated for an HIV Model

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