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Global dynamics of solutions for enzyme catalysed models with almost periodic oscillatory input

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Abstract

In this work, we study models of enzyme-catalysed reactions which include an almost periodic substrate input. The main results are the existence, uniqueness and global stability of an almost periodic solution of the system under some restrictions on the parameters.

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Authors and Affiliations

  1. Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana. Edif. Alfa, Ciudad Universitaria, C.P. 58040, Morelia, Michoacán, Mexico

    Homero G. Díaz-Marín

  2. Facultad de ciencias Físico Matemáticas, Universidad Autónoma de Nuevo León, San Nicolás de los Garza, Nuevo León, Mexico

    Francisco J. López-Hernández

  3. Instituto de Física y Matemáticas, Universidad Michoacana.Ciudad Universitaria, C.P. 58040, Morelia, Michoacán, Mexico

    Osvaldo Osuna

Authors
  1. Homero G. Díaz-Marín
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  2. Francisco J. López-Hernández
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  3. Osvaldo Osuna
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Correspondence to Homero G. Díaz-Marín.

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Díaz-Marín, H.G., López-Hernández, F.J. & Osuna, O. Global dynamics of solutions for enzyme catalysed models with almost periodic oscillatory input. J Math Chem 60, 1921–1929 (2022). https://doi.org/10.1007/s10910-022-01396-x

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  • DOI: https://doi.org/10.1007/s10910-022-01396-x

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