Geodesic
Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 29 (2023) no. 3, pp. 57-63

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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. 
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     author = {M. A. Smetannikov},
     title = {Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {57--63},
     publisher = {mathdoc},
     volume = {29},
     number = {3},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2023_29_3_a6/}
}
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M. A. Smetannikov. Application of decomposition and integral manifolds to the singularly perturbed problem of kinetics of suicide substrate. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 29 (2023) no. 3, pp. 57-63. http://geodesic.mathdoc.fr/item/VSGU_2023_29_3_a6/