Global behavior analysis for stochastic system of 1,3-PD continuous fermentation
| Autor: | Wolfgang Kliemann, Xi Zhu, Zhilong Xiu, Enmin Feng, Chunfa Li |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
0106 biological sciences
Numerical Analysis Continuous-time stochastic process Markov chain Stochastic modelling Applied Mathematics Ergodicity 01 natural sciences 010305 fluids & plasmas Diffusion process Control theory 010608 biotechnology Modeling and Simulation Control system Bounded function 0103 physical sciences Probability distribution Mathematics |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 53:228-248 |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2017.05.004 |
| Popis: | Global behavior for stochastic system of continuous fermentation in glycerol bio-dissimilation to 1,3-propanediol by Klebsiella pneumoniae is analyzed in this paper. This bioprocess cannot avoid the stochastic perturbation caused by internal and external disturbance which reflect on the growth rate. These negative factors can limit and degrade the achievable performance of controlled systems. Based on multiplicity phenomena, the equilibriums and bifurcations of the deterministic system are analyzed. Then, a stochastic model is presented by a bounded Markov diffusion process. In order to analyze the global behavior, we compute the control sets for the associated control system. The probability distributions of relative supports are also computed. The simulation results indicate that how the disturbed biosystem tend to stationary behavior globally. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect