Sufficient optimality conditions for a class of epidemic problems with control on the boundary

DOI10.3934/MBE.2017017zbMath1351.49023OpenAlexW2529923872WikidataQ42068705 ScholiaQ42068705MaRDI QIDQ335272

Alicja Miniak-Górecka, Andrzej F. Nowakowski

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.2017017

zbMATH Keywords

boundary controlparabolic equationsufficient optimality conditionsdual dynamic programmingepidemic problem

Mathematics Subject Classification ID

Epidemiology (92D30) Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions and duality in mathematical programming (90C46) Dynamic programming in optimal control and differential games (49L20) Applications of optimal control and differential games (49N90) Reaction-diffusion equations (35K57) Dynamic programming (90C39) Existence theories for optimal control problems involving partial differential equations (49J20) Medical epidemiology (92C60)

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Cites Work

• Unnamed Item
• Controlling the spread of a class of epidemics
• On dual dynamic programming in shape control
• A dual dynamic programming for minimax optimal control problems governed by parabolic equation
• Convexity and Optimization in Banach Spaces
• A reaction-diffusion system arising in modelling man-environment diseases
• Sufficient Optimality Conditions for Dirichlet Boundary Control of Wave Equations
• The Dual Dynamic Programming
• A Dual Dynamic Programming for Multidimensional Elliptic Optimal Control Problems

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