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Indexed by:期刊论文

Date of Publication:2017-12-01

Journal:COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Included Journals:SCIE、EI、Scopus

Volume:53

Page Number:228-248

ISSN No.:1007-5704

Key Words:Continuous fermentation; Nonlinear stochastic system; Global behavior; Control sets; Ergodicity; Stationarity; Parallel computation

Abstract: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. (C) 2017 Elsevier B.V. All rights reserved.