Results 31 to 40 of about 24,216,701 (241)
A modeling approach of the chemostat [PDF]
Ecological Modelling, 2015 Population dynamics and in particular microbial population dynamics, though they are complex but also intrinsically discrete and random, are conventionally represented as deterministic differential equations systems. We propose to revisit this approach by complementing these classic formalisms by stochastic formalisms and to explain the links between ...
Fritsch, Coralie +2 more
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Microbiology Spectrum, 2022 The study of bacteriophage communities reproducing in the gastrointestinal tract is limited by the quality of model systems supporting experimental manipulation in vitro.
Hedieh Attai +6 more
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Dynamics of Nonautonomous Chemostat Models [PDF]
, 2015 Chemostat models have a long history in the biological sciences as well as in biomathematics. Hitherto most investigations have focused on autonomous systems, that is, with constant parameters, inputs and outputs. In many realistic situations these quantities can vary in time, either deterministically (e.g., periodically) or randomly. They are then non-
Caraballo, Tomas +3 more
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Global analysis of a new nonlinear stochastic differential competition system with impulsive effect
Advances in Difference Equations, 2017 We propose a new stochastic competition chemostat system with saturated growth rate and impulsive toxicant input. The main purpose of this paper is to study the stochastic dynamics of a high-dimensional impulsive stochastic chemostat model and find the ...
Xuejin Lv, Lu Wang, Xinzhu Meng
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Stochastic modeling of the chemostat [PDF]
Ecological Modelling, 2011 The chemostat is classically represented, at large population scale, as a system of ordinary differential equations. Our goal is to establish a set of stochastic models that are valid at different scales: from the small population scale to the scale immediately preceding the one corresponding to the deterministic model.
Campillo, Fabien +2 more
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Bifurcation analysis of a mathematical model of microalgae growth under the influence of sunlight
Biomath, 2023 In this paper is considered a microalgae growth model under the influence of sunlight. The model is a two-dimensional system of the first order Ordinary Differential Equations (ODE) with a ten-dimensional parameter space. For this model, we study the
Lingga Sanjaya Putra Mahardhika +2 more
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Modeling lipid accumulation in oleaginous fungi in chemostatcultures. II: Validation of the chemostat model using yeast culturedata from literature [PDF]
, 2011 A model that predicts cell growth, lipid accumulation and substrate consumption of oleaginous fungi in chemostat cultures (Meeuwse et al. in Bioproc Biosyst Eng.
Meeuwse, P. +5 more
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Carrying Capacity of a Population Diffusing in a Heterogeneous Environment
Mathematics, 2020 The carrying capacity of the environment for a population is one of the key concepts in ecology and it is incorporated in the growth term of reaction-diffusion equations describing populations in space.
D.L. DeAngelis +3 more
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Model Systems of Human Intestinal Flora, to Set Acceptable Daily Intakes of Antimicrobial Residues [PDF]
, 2000 The veterinary use of antimicrobial drugs in food producing animals may result in residues in food, that might modify the consumer gut flora. This review compares three model systems that maintain a complex flora of human origin: (i) human flora ...
Corpet, Denis E.
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Stability Results for a Class of Differential Equation and Application in Medicine
Abstract and Applied Analysis, 2009 A Chemostat system incorporating hepatocellular carcinomas is discussed. The model generalizes the classical Chemostat model, and it assumes that the Chemostat is an increasing function of the concentration.
Qingyi Zhan +2 more
doaj +1 more source