Structural and practical identifiability issues of immuno-epidemiological vector-host models with application to Rift Valley Fever

DOI10.1007/s11538-016-0200-2zbMath1352.92173OpenAlexW2521053247WikidataQ39368701 ScholiaQ39368701MaRDI QIDQ347044

Hayriye Gulbudak, Vincent L. Cannataro, Maia Martcheva, Necibe Tuncer

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1007/s11538-016-0200-2

zbMATH Keywords

parameter estimationarbovirus diseasesimmune dynamicsimmuno-epidemiological modelingRift Valley Feverstructural and practical identifiability analysis

Mathematics Subject Classification ID

Epidemiology (92D30) Ecology (92D40)

Related Items (21)

Immuno-epidemiological co-affection model of HIV infection and opioid addiction ⋮ Structural and practical identifiability analysis of outbreak models ⋮ Unraveling within-host signatures of dengue infection at the population level ⋮ A multiscale model of COVID-19 dynamics ⋮ Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic ⋮ Infection severity across scales in multi-strain immuno-epidemiological dengue model structured by host antibody level ⋮ Model selection and identifiability analysis of HIV and SARS-CoV-2 co-infection model with drug therapy ⋮ MATHEMATICAL MODELING OF INFECTION MECHANISM BETWEEN MILD AND SEVERE COVID-19 PATIENTS ⋮ A nested model with boosting and waning of immunity from Tilapia Lake virus infection with distributed resistance to pathogens carrier-state ⋮ AN IMMUNO-EPIDEMIOLOGICAL VECTOR–HOST MODEL WITH WITHIN-VECTOR VIRAL KINETICS ⋮ Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model ⋮ Efficacy of control measures in the control of Ebola, Liberia 2014–2015 ⋮ Vector-borne pathogen and host evolution in a structured immuno-epidemiological system ⋮ Structural and practical identifiability analysis of zika epidemiological models ⋮ Global analysis of an environmental disease transmission model linking within-host and between-host dynamics ⋮ Linear Compartmental Models: Input-Output Equations and Operations That Preserve Identifiability ⋮ Sensitivity analysis in an immuno-epidemiological vector-host model ⋮ Structural identifiability analysis of age-structured PDE epidemic models ⋮ Limits of epidemic prediction using SIR models ⋮ Dynamics of a Vector-Borne model with direct transmission and age of infection ⋮ Analysis and simulations with a multi-scale model of canine visceral leishmaniasis

Uses Software

• DAISY

Cites Work

• Unnamed Item
• An epidemiological model of Rift Valley fever with spatial dynamics
• Vector-borne pathogen and host evolution in a structured immuno-epidemiological system
• Identifiability analysis of an epidemiological model in a structured population
• System identifiability based on the power series expansion of the solution
• On global identifiability for arbitrary model parametrizations
• Parameter identification in size-structured population models with nonlinear individual rates.
• Transient dynamics and early diagnostics in infectious disease
• Parameter estimation and uncertainty quantification for an epidemic model
• Identifiability and estimation of multiple transmission pathways in cholera and waterborne disease
• Parameter estimation in a coupled system of nonlinear size-structured populations
• An algorithm for finding globally identifiable parameter combinations of nonlinear ODE models using Gröbner bases
• Modeling and Inverse Problems in the Presence of Uncertainty
• On Identifiability of Nonlinear ODE Models and Applications in Viral Dynamics
• Identifiability problem for recovering the mortality rate in an age-structured population dynamics model
• A sensitivity matrix based methodology for inverse problem formulation
• Asymptotic Statistics
• An Introduction to Mathematical Epidemiology
• Estimability and Likelihood Inference for Generalized Linear Mixed Models Using Data Cloning

This page was built for publication: Structural and practical identifiability issues of immuno-epidemiological vector-host models with application to Rift Valley Fever