Global dynamics of the chemostat with different removal rates and variable yields by Tewfik Sari, Frederic Mazenc

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Effects of spatial structure and diffusion on the performances of the chemostat by Ihab Haidar, Alain Rapaport, Frédéric Gérard

Subjects: “…global stability.…”
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Feedback stabilization for a chemostat with delayed output by Gonzalo Robledo

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Global Behaviors of a Chemostat Model with Delayed Nutrient Recycling and Periodically Pulsed Input by Kai Wang, Zhidong Teng, Fengqin Zhang

“…The dynamic behaviors in a chemostat model with delayed nutrient recycling and periodically pulsed input are studied. …”
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Chemostats and epidemics: Competition for nutrients/hosts by Hal L. Smith, Horst R. Thieme

“…As winner, chemostat models predict the specieswith the lowest break-even concentration, while epidemicmodels predict the strain with the largest basic reproduction number.We show that these predictions amount to the same if the per capitafunctional responses of consumer species to the nutrient concentration or ofinfective individuals to the density of susceptibles are proportional to eachother but that they are different if the functional responses are nonproportional.In the second case, the correct prediction is given by the break-even concentrations.In the case of nonproportional functional responses, we add a class for which the prediction does not only rely on local stability and instability of one-species (strain) equilibriabut on the global outcome of the competition. …”
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The mathematical analysis of a syntrophic relationship between two microbial species in a chemostat by Tewfik Sari, Miled El Hajji, Jérôme Harmand

Subjects: “…global asymptotic stability…”
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Analysis of a model for the effects of an external toxin on anaerobic digestion by Marion Weedermann

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An allelopathic competition model with quorum sensing and delayed toxicant production by Paolo Fergola, Marianna Cerasuolo, Edoardo Beretta

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A Predator-Prey Model in the Chemostat with Time Delay by Guihong Fan, Gail S. K. Wolkowicz

“…The aim of this paper is to study the dynamics of predator-prey interaction in a chemostat to determine whether including a discrete delay to model the time between the capture of the prey and its conversion to viable biomass can introduce oscillatory dynamics even though there is a globally asymptotically stable equilibrium when the delay is ignored. …”
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Biological control of the chemostat with nonmonotonic response and different removal rates by Alain Rapaport, Jérôme Harmand

“…We show the global stabilization of the chemostat with nonmonotonic growth, adding a new species as a ''biological'' control, in presence ofdifferent removal rates for each species. …”
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Competition for a single resource and coexistence of several species in the chemostat by Nahla Abdellatif, Radhouane Fekih-Salem, Tewfik Sari

“…We study a model of the chemostat with several species in competition for a single resource.We take into account the intra-specific interactions between individuals of the same population of micro-organisms andwe assume that the growth rates are increasing and the dilution rates are distinct.Using the concept of steady-state characteristics, we present a geometric characterization of the existence and stability of all equilibria.Moreover, we provide necessary and sufficient conditions on the control parameters of the system to have a positive equilibrium.Using a Lyapunov function, we give a global asymptotic stability result for the competition model of several species.The operating diagram describes the asymptotic behavior of this model with respect to control parametersand illustrates the effect of the intra-specific competition on the coexistence region of the species.…”
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On the Study of Chemostat Model with Pulsed Input in a Polluted Environment by Zhong Zhao, Xinyu Song

“…Chemostat model with pulsed input in a polluted environment is considered. …”
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Extinction and permanence of two-nutrient and one-microorganism chemostat model with pulsed input by Xinyu Song, Zhong Zhao

“…A chemostat model with periodically pulsed input is considered. …”
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Dynamical Analysis of Two-Microorganism and Single Nutrient Stochastic Chemostat Model with Monod-Haldane Response Function by Mengnan Chi, Wencai Zhao

“…Then, using Lyapunov function and Itô’s formula, we investigate the existence and uniqueness of the global positive solution of the stochastic chemostat model. …”
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Global mean sea level likely higher than present during the holocene by Roger C. Creel, Jacqueline Austermann, Robert E. Kopp, Nicole S. Khan, Torsten Albrecht, Jonathan Kingslake

“…Abstract Global mean sea-level (GMSL) change can shed light on how the Earth system responds to warming. …”
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Toward an Integrated Physiological Theory of Microbial Growth: From Subcellular Variables to Population Dynamics by Atul Narang, Sergei S. Pilyugin

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A dynamic model describing heterotrophic culture of chorella and its stability analysis by Yan Zhang, Wanbiao Ma, Hai Yan, Yasuhiro Takeuchi

“…In this paper, based on thestandard Chemostat models and the experimental data on theheterotrophic culture of Chlorella USTB01, a dynamic modelgoverned by differential equations with three variables (Chlorella, carbon source and nitrogen source) is proposed. …”
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FEISTY Fortran library and R package to integrate fish and fisheries with biogeochemical models by Yixin Zhao, P. Daniël vanDenderen, Rémy Denéchère, Jonathan E. Falciani, Nis S. Jacobsen, Themistoklis Konstantinopoulos, Daniel Ottmann, Colleen M. Petrik, Karline Soetaert, Charles A. Stock, Ken H. Andersen

“…We present an R package that enables users to run simulations ranging from a 0D chemostat to full global scales. The library is written in Fortran90 with an R interface and provides a web application for visual exploration. …”
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New Insights on <i>Gordonia alkanivorans</i> Strain 1B Surface-Active Biomolecules: Gordofactin Properties by João Tavares, Susana M. Paixão, Tiago P. Silva, Luís Alves

“…Strain 1B was cultivated in a chemostat using fructose as a carbon source to stimulate gordofactin production, and different purification methods were tested. …”
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Experimental and numerical analysis of Carbon/Glass fiber reinforced thermoplastic wind turbine blade prepared by VARIM by H N Abhilash, K Raghunandana, Subraya Krishna Bhat, Aruna Prabhu, A Amar Murthy

“…Even though thermosetting composites are frequently used to make blades, they have several drawbacks, most notably that they cannot be recycled. …”
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