A nonautonomous chemostat model for the growth of gut microbiome with varying nutrient

نویسندگان

چکیده

<p style='text-indent:20px;'>A mathematical model describing the growth of gut microbiome inside and on wall is developed based chemostat with growth. Both concentration flow rate nutrient input are time-dependent, which results in a system non-autonomous differential equations. First stability each meaningful equilibrium studied for autonomous counterpart. Then existence pullback attractors its detailed structures nonautonomous investigated using theory techniques dynamical systems. In particular, sufficient conditions under vanishes or persists constructed. Numerical simulations provided to illustrate theoretical results.</p>

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series S

سال: 2022

ISSN: ['1937-1632', '1937-1179']

DOI: https://doi.org/10.3934/dcdss.2022075