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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik SamU. Estestvenno-Nauchnaya Ser., 2023 Volume 29, Issue 3, Pages 57–63 (Mi vsgu711)

Mathematics

Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate

M. A. Smetannikov

Samara National Research University, Samara, Russian Federation

Abstract: The purpose of this work is to reduce the singularly perturbed system of kinetics of a suicidal substrate. Methods of decomposition and integral manifolds are used. The dimension of the original problem is reduced. The obtained equations on the integral manifold are analyzed for stability. An example is given of comparing the numerical solutions of the original system and those obtained after reducing the dimensionality using the above methods.

Keywords: differential equations, decomposition method, integral manifolds, cooperative phenomenon, enzyme kinetics, suicide substrate.

UDC: 517.928

Received: 14.07.2023
Revised: 21.08.2023
Accepted: 30.10.2023

DOI: 10.18287/2541-7525-2023-29-3-57-63



© Steklov Math. Inst. of RAS, 2024