On application of optimal control to SEIR normalized models: pros and cons

DOI10.3934/mbe.2017008zbMath1351.49054OpenAlexW2531519838WikidataQ40438798 ScholiaQ40438798MaRDI QIDQ335250

Filipa Nunes Nogueira, Maria do Rosário de Pinho

Publication date: 2 November 2016

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

Full work available at URL: https://doi.org/10.3934/mbe.2017008

zbMATH Keywords

optimal controlnecessary optimality conditionsepidemiologynormalized SEIR modelpublic health

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of optimal control and differential games (49N90) Numerical methods based on nonlinear programming (49M37) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Medical epidemiology (92C60)

Related Items

Optimal control of normalized SIMR models with vaccination and treatment ⋮ Optimal control strategies for an age‐structured SEIR epidemic model ⋮ Bifurcation thresholds and optimal control in transmission dynamics of arboviral diseases ⋮ Optimal control strategy for an age-structured SIR endemic model

Uses Software

• AMPL
• Ipopt
• WORHP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal control for an epidemic in populations of varying size
• Geometric optimal control. Theory, methods and examples
• Global dynamics of a SEIR model with varying total population size
• Mathematical modeling of biological processes
• On optimal singular controls for a general SIR-model with vaccination and treatment
• On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
• A SEIR model for control of infectious diseases with constraints
• The Mathematics of Infectious Diseases
• Optimization and nonsmooth analysis
• The ESA NLP Solver WORHP