Results 191 to 200 of about 24,216,701 (241)

Extinction and stationary distribution of an impulsive stochastic chemostat model with nonlinear perturbation

Chaos, Solitons and Fractals, 2018
Xinzhu Meng
exaly   +2 more sources

Delayed feedback control for a chemostat model

Mathematical Biosciences, 2006
In this paper, we discuss asymptotic properties and numerical simulations of a chemostat model with delayed feedback control. A chemostat model with two organisms can be made coexistent by feedback control of the dilution rate which depends affinely on the concentrations of two organisms [P. De Leenher, H.L. Smith, Feedback control for chemostat models,
Tadayuki Hara
exaly   +3 more sources

A dynamic mathematical model of the chemostat

Biotechnology and Bioengineering, 1970
AbstractA number of experimental studies on the dynamic, behavior of the chemostat have shown that the specific growth rate does not, instantaneously adjust to changes in the concentration of limiting substrate in the chemostat following disturbances in the steady state input limiting substrate concentration or in the steady state dilution rate ...
T B, Young, D F, Bruley, H R, Bungay
openaire   +2 more sources

Dynamical behavior of a stochastic two-species Monod competition chemostat model

Applied Mathematics and Computation, 2017
Shulin Sun, Yaru Sun, Guang Zhang
exaly   +2 more sources

Feedback control for chemostat models

Journal of Mathematical Biology, 2003
It is shown that a chemostat with two organisms can be made coexistent by means of feedback control of the dilution rate. Remaining freedom in the feedback law can be used to guarantee robustness or improve particular performance indices. Unfortunately a topological property prevents coexistence by feedback control for chemostats with more than two ...
De Leenheer, Patrick, Smith, Hal
openaire   +2 more sources

Hopf bifurcation of a chemostat model

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rongning Qu, Xiaofang Li
openaire   +2 more sources

Stationary distribution and extinction for a food chain chemostat model with random perturbation

Mathematical methods in the applied sciences, 2020
In this paper, we study the dynamical behavior of a stochastic food chain chemostat model, in which the white noise is proportional to the variables. Firstly, we prove the existence and uniqueness of the global positive solution.
Miaomiao Gao, D. Jiang, T. Hayat, A. Alsaedi   +3 more
semanticscholar   +1 more source

Global dynamics and travelling waves for a periodic and diffusive chemostat model with two nutrients and one microorganism

Nonlinearity, 2020
We consider a classical chemostat model with two nutrients and one microorganism, which incorporates spatial diffusion, temporal heterogeneity, and spatial heterogeneity.
Wei Wang, Wanbiao Ma, Zhaosheng Feng
semanticscholar   +1 more source

Stationary distribution of a stochastic chemostat model with Beddington–DeAngelis functional response

Physica A: Statistical Mechanics and its Applications, 2020
In this paper, we study a stochastic chemostat model with Beddington–DeAngelis functional response. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a unique ergodic stationary distribution ...
Zhongwei Cao, Xiangdan Wen, Huishuang Su, Liya Liu, Q. Ma   +4 more
semanticscholar   +1 more source

ANALYSIS OF A CHEMOSTAT MODEL WITH PULSED INPUT

Journal of Biological Systems, 2006
In this paper, we consider a chemostat model with pulsed input. We find a critical value of the period of pulses. If the period is more than the critical value, the microorganism-free periodic solution is globally asymptotically stable. If less, the system is permanent.
Shi, Xiangyun, Song, Xinyu
openaire   +2 more sources