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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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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.
Received: 14.07.2023 Revised: 21.08.2023 Accepted: 30.10.2023
Citation:
M. A. Smetannikov, “Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 29:3 (2023), 57–63
Linking options:
https://www.mathnet.ru/eng/vsgu711 https://www.mathnet.ru/eng/vsgu/v29/i3/p57
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Abstract page: | 37 | Full-text PDF : | 19 | References: | 15 |
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