The structural identifiability of the susceptible infected recovered model with seasonal forcing

DOI10.1016/j.mbs.2004.10.011zbMath1065.92040OpenAlexW1974822069WikidataQ51490387 ScholiaQ51490387MaRDI QIDQ1781611

Lisa J. White, Neil D. Evans, Michael J. Chapman, Michael J. Chappell, Keith R. Godfrey

Publication date: 27 June 2005

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2004.10.011

zbMATH Keywords

Non-linear systemsSIR modelsSeasonal forcingStructural identifiability

Mathematics Subject Classification ID

Epidemiology (92D30) System identification (93B30) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (15)

The parameter identification problem for SIR epidemic models: identifying unreported cases ⋮ Structural and practical identifiability analysis of outbreak models ⋮ A sensitivity matrix based methodology for inverse problem formulation ⋮ Parameter Selection Methods in Inverse Problem Formulation ⋮ CHAOS ANALYSIS AND CONTROL FOR A CLASS OF SIR EPIDEMIC MODEL WITH SEASONAL FLUCTUATION ⋮ The challenges of modeling and forecasting the spread of COVID-19 ⋮ Computing human to human avian influenza \(\mathcal{R}_0\) via transmission chains and parameter estimation ⋮ Model selection and identifiability analysis of HIV and SARS-CoV-2 co-infection model with drug therapy ⋮ A computational approach to identifiability analysis for a model of the propagation and control of COVID-19 in Chile ⋮ Understanding the transmission dynamics of respiratory syncytial virus using multiple time series and nested models ⋮ A note on tools for prediction under uncertainty and identifiability of SIR-like dynamical systems for epidemiology ⋮ Structural identifiability of a model for the acetic acid fermentation process ⋮ Structural identifiability analysis of age-structured PDE epidemic models ⋮ Parameter estimation from ICC curves ⋮ Identifiability and estimation of multiple transmission pathways in cholera and waterborne disease

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Similarity transformation approach to identifiability analysis of nonlinear compartmental models
• System identifiability based on the power series expansion of the solution
• On global identifiability for arbitrary model parametrizations
• Global identifiability of the parameters of nonlinear systems with specified inputs: A comparison of methods
• Identifiability of uncontrolled nonlinear rational systems
• Mathematical Structures of Epidemic Systems
• New results for identifiability of nonlinear systems
• Nonlinear controllability and observability
• Time Series Modelling of Childhood Diseases: A Dynamical Systems Approach
• Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicity
• Modeling epidemics caused by respiratory syncytial virus (RSV)
• Seasonally forced disease dynamics explored as switching between attractors

This page was built for publication: The structural identifiability of the susceptible infected recovered model with seasonal forcing