Optimal intervention strategies for a SEIR control model of ebola epidemics

DOI10.3390/math3040961zbMath1330.49039OpenAlexW1808709171WikidataQ113174916 ScholiaQ113174916MaRDI QIDQ901452

Ellina V. Grigorieva, Evgenii N. Khailov

Publication date: 12 January 2016

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math3040961

zbMATH Keywords

nonlinear control systemPontryagin maximum principleSEIR modelgeneralized Rolle's theoremnon-autonomous quadratic differential systembang-bang controlsebola epidemicoptimal intervention strategies

Mathematics Subject Classification ID

Epidemiology (92D30) Applications of optimal control and differential games (49N90) Nonlinear systems in control theory (93C10) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (4)

Optimizing the quarantine cost for suppression of the COVID-19 epidemic in Mexico ⋮ Piecewise-constant optimal control strategies for controlling the outbreak of COVID-19 in the Irish population ⋮ Determination of the optimal controls for an ebola epidemic model ⋮ Dynamics of a Generalized Model for Ebola Virus Disease

Cites Work

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• On blow-up solutions of nonautonomous quadratic differential systems
• Optimal Vaccination, Treatment, and Preventive Campaigns in Regard to the SIR Epidemic Model
• A Generalized Estimate of the Number of Zeros for Solutions of a Class of Linear Differential Equations
• Optimal control of deterministic epidemics

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