This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random fluctuations on the input flow, which are modeled by means of well-known Ornstein-Uhlenbeck process, considered to obtain much more realistic fitting in better way phenomena observed practitioners real devices. Once existence uniqueness global positive solution has...

<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 attract...

Competition on a model with nutrient recycling is considered. The model is based on a chemostat-type equation which is used to study population dynamics of microorganisms. The model consists of four organisms competing for a limiting nutrient. Nutrient is supplied both from the in-flow of medium and a recycling with delay, the latter is generated from dead organisms by bacterial decomposition. ...

We study the existence and uniqueness of solution a non-linear coupled system constituted degenerate diffusion-growth-fragmentation equation differential equation, resulting from modeling bacterial growth in chemostat. This is derived, large population approximation, stochastic individual-based model where each individual characterized by non-negative real valued trait described diffusion. Two ...

Biofilms are well known for their extreme tolerance to antibiotics. Recent experimental evidence has indicated the existence of a small fraction of specialized persister cells may be responsible for this tolerance. Although persister cells seem to exist in planktonic bacterial populations, within a biofilm the additional protection offered by the polymeric matrix allows persister cells to evade...

We obtain necessary and sufficient conditions on the existence of a unique positive equilibrium point and a set of sufficient conditions on the existence of periodic solutions for a 3-dimensional system which arises from a model of competition between plasmid-bearing and plasmid-free organisms in a chemostat with an inhibitor. Our results improve the corresponding results obtained by Hsu, Luo, ...

Can a conjugative plasmid encoding enhanced biofilm forming abilities for its bacterial host facilitate the persistence of the plasmid in a bacterial population despite conferring diminished growth rate and segregative plasmid loss on its bearers? We construct a mathematical model in a chemostat and in a plug flow environment to answer this question. Explicit conditions for an affirmative answe...