Results 11 to 20 of about 24,216,701 (241)
Complex Dynamics of an Impulsive Chemostat Model [PDF]
International Journal of Bifurcation and Chaos, 2019 We propose a novel impulsive chemostat model with the substrate concentration as the basis for the implementation of control strategies, and then investigate the model’s global dynamics.
Jin Yang, Yuanshun Tan, R. Cheke
semanticscholar +4 more sources
A RBA model for the chemostat modeling [PDF]
2019 IEEE 58th Conference on Decision and Control (CDC), 2019 Extended version of conference paper to appear in Conference on Decision and Control ...
Dinh, Marc, Fromion, Vincent
openaire +7 more sources
A Delayed Chemostat Model with Impulsive Diffusion and Input on Nutrients [PDF]
Advances in Difference Equations, 2009 A chemostat model with delayed response in growth and impulsive diffusion and input on nutrients is considered. Using the discrete dynamical system determined by the stroboscopic map, we obtain a microorganism-extinction periodic solution. Further, it is
Jianjun Jiao, Shaohong Cai
doaj +4 more sources
Stochastic models of the chemostat
, 2010 We consider the modeling of the dynamics of the chemostat at its very source. The chemostat is classically represented as a system of ordinary differential equations. Our goal is to establish a stochastic model that is valid at the scale immediately preceding the one corresponding to the deterministic model.
Campillo, Fabien +2 more
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Coexistence of an unstirred chemostat model with B-D functional response by fixed point index theory [PDF]
Journal of Inequalities and Applications, 2016 This paper deals with an unstirred chemostat model with the Beddington-DeAngelis functional response. First, some prior estimates for positive solutions are proved by the maximum principle and the method of upper and lower solutions.
Xiao-zhou Feng +2 more
doaj +2 more sources
A Predator-Prey model in the chemostat with Holling Type II response function
Mathematics in Applied Sciences and Engineering, 2020 A model of predator-prey interaction in a chemostat with Holling Type II functional and numerical response functions of the Monod or Michaelis-Menten form is considered.
Tedra Bolger +3 more
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IFAC-PapersOnLine, 2019 The chemostat model is used in many situations to represent biological systems in which micro-organisms grow on abiotic resources. Nevertheless, most of the times, the deterministic versions of this model are analyzed in spite of random fluctuations that
T. Caraballo +2 more
semanticscholar +2 more sources
A Predator-Prey Model in the Chemostat with Time Delay [PDF]
International Journal of Differential Equations, 2010 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 ...
Guihong Fan, Gail S. K. Wolkowicz
doaj +3 more sources
Periodic Oscillations in a Chemostat Model with Two Discrete Delays [PDF]
Discrete Dynamics in Nature and Society, 2015 Periodic oscillations of solutions of a chemostat-type model in which a species feeds on a limiting nutrient are considered. The model incorporates two discrete delays representing the lag in nutrient recycling and nutrient conversion.
Tiansi Zhang, Xuehui Ji, Bo Li
doaj +2 more sources
An Multivariable Approach for the Chemostat Model
, 2016 We use a multivariable approach to study the Chemostat model for a food chain. Using a Lyapunov function we reduce the system to a two-dimensional system.We then find isoclines and equilibrium points using a change of variables and the implicit function theorem.It turn out to be three equilibriums, namely the extinction equilibrium, caring capacity ...
Thörngren, Sebastian
core +3 more sources