Determination of the optimal controls for an ebola epidemic model

DOI10.3934/dcdss.2018062zbMath1407.49061OpenAlexW2807222259WikidataQ129701183 ScholiaQ129701183MaRDI QIDQ1713276

Ellina V. Grigorieva, Evgenii N. Khailov

Publication date: 24 January 2019

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2018062

zbMATH Keywords

nonlinear control systemPontryagin maximum principleSEIR modelgeneralized Rolle's theoremnon-autonomous quadratic differential systemcontrol the spread of ebola epidemic

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Applications of optimal control and differential games (49N90) Application models in control theory (93C95) Optimality conditions for problems involving ordinary differential equations (49K15) Medical epidemiology (92C60) Variational principles of physics (49S05)

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Cites Work

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• Optimal control for an epidemic in populations of varying size
• Controllability of linear nonstationary systems with scalar input and quasidifferentiable coefficients
• Geometric optimal control. Theory, methods and examples
• Optimal control applied to vaccination and treatment strategies for various epidemiological models
• Optimal intervention strategies for a SEIR control model of ebola epidemics
• Mathematical modelling, simulation, and optimal control of the 2014 ebola outbreak in west africa
• On optimal singular controls for a general SIR-model with vaccination and treatment
• A modified SEIR model for the spread of Ebola in western Africa and metrics for resource allocation
• Quasidifferentiability and observability of linear nonstationary systems
• A Generalized Estimate of the Number of Zeros for Solutions of a Class of Linear Differential Equations
• Optimal Control for a SIR Epidemic Model with Nonlinear Incidence Rate

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