Dynamical analysis for the sustained harvesting of microorganisms using flocculants in a random environment
Rong Liu(刘蓉)1,2 and Wanbiao Ma(马万彪)1,†
1 School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China; 2 School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract The use of flocculants to collect/extract microorganisms is of great practical significance for the development of the application of microorganisms. In this paper, a high-dimensional nonlinear stochastic differential equation model is constructed to describe the continuous culture of microorganisms with multiple nutrients and the flocculation process of microorganisms. The study of the dynamics of this model can provide feasible control strategies for the collection/extraction of microorganisms. The main theoretical results are sufficient conditions for the permanence and extinction of the stochastic differential equation model, which are also extensions of some results in the existing literatures. In addition, through numerical simulations, we vividly demonstrate the statistical characteristics of the stochastic differential equation model.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11971055) and the Beijing Natural Science Foundation, China (Grant No. 1202019).
Corresponding Authors:
Wanbiao Ma
E-mail: wanbiao_ma@ustb.edu.cn
Cite this article:
Rong Liu(刘蓉) and Wanbiao Ma(马万彪) Dynamical analysis for the sustained harvesting of microorganisms using flocculants in a random environment 2023 Chin. Phys. B 32 050502
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