On a third-order singular arc of optimal control in a minimization problem for a mathematical model of psoriasis treatment

DOI10.1134/S0081543819010218zbMath1420.49051OpenAlexW2974888252WikidataQ127739211 ScholiaQ127739211MaRDI QIDQ2317232

Yanyan Li

Publication date: 9 August 2019

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543819010218

zbMATH Keywords

optimal control problemPontryagin maximum principlebang-bang arcspsoriasis treatment

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Cell biology (92C37) Optimality conditions for problems involving ordinary differential equations (49K15) Variational principles of physics (49S05) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (3)

A model analysis to measure the adherence of Etanercept and Fezakinumab therapy for the treatment of psoriasis ⋮ A MODEL OF THE OPTIMAL IMMUNOTHERAPY OF PSORIASIS BY INTRODUCING IL-10 AND IL-22 INHIBITORS ⋮ Connecting a third-order singular arc with nonsingular arcs of optimal control in a minimization problem for a psoriasis treatment model

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