Lotka-Volterra competition model with a nonmonotone therapy function for finding optimal strategies in the treatment of blood cancers

DOI10.1134/S0081543822030063zbMath1505.92100MaRDI QIDQ2095487

Yanyan Li

Publication date: 17 November 2022

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

zbMATH Keywords

bang-bang controlchatteringnonlinear control systemPontryagin maximum principleLotka-Volterra competition modelswitching functionsingular regimenonmonotone therapy function

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Medical applications (general) (92C50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Uses Software

• Bocop

Cites Work

• Unnamed Item
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• NON-OSCILLATION OF SOLUTIONS OF THE EQUATIONx⁽ⁿ⁾+p₁(t)x⁽ⁿ⁻¹⁾+ … +p_n(t)x= 0

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