JCP 2010 Vol.5(5): 741-748 ISSN: 1796-203X
doi: 10.4304/jcp.5.5.741-748
doi: 10.4304/jcp.5.5.741-748
The Parameter’s Effect on the Stability in Microbial Growth Model
Hong Men, Yuhong Li, and Fangbao Tian
1 School of Automation Engineering, Northeast Dianli University, Jilin, China
2 Department of Modern Mechanics, University of Science and Technology of China, Hefei, China
Abstract—A nonlinear dynamic growth model of microorganisms is developed by considering the chemotaxis, the diffusion, and the pH value based on the theories of the diffusion reaction of thermodynamics and the chemotactic reaction of biology in this paper. The stability of the model is studied by analyzing the growth rate and the frequency of the solutions of a small perturbation. When different parameter values are set, the effect of every parameter on the stability of the system is analyzed in detail. With a number of data analysis, the conclusion that the stability is mainly affected by two parameters, namely, the initial density of bacteria and the consumption rate of foods by bacteria when they are given the large enough values.
Index Terms—microbial growth, dynamic model, stability, chemotaxis, organism
2 Department of Modern Mechanics, University of Science and Technology of China, Hefei, China
Abstract—A nonlinear dynamic growth model of microorganisms is developed by considering the chemotaxis, the diffusion, and the pH value based on the theories of the diffusion reaction of thermodynamics and the chemotactic reaction of biology in this paper. The stability of the model is studied by analyzing the growth rate and the frequency of the solutions of a small perturbation. When different parameter values are set, the effect of every parameter on the stability of the system is analyzed in detail. With a number of data analysis, the conclusion that the stability is mainly affected by two parameters, namely, the initial density of bacteria and the consumption rate of foods by bacteria when they are given the large enough values.
Index Terms—microbial growth, dynamic model, stability, chemotaxis, organism
Cite: Hong Men, Yuhong Li, and Fangbao Tian, " The Parameter’s Effect on the Stability in Microbial Growth Model," Journal of Computers vol. 5, no. 5, pp. 741-748, 2010.
General Information
ISSN: 1796-203X
Abbreviated Title: J.Comput.
Frequency: Bimonthly
Abbreviated Title: J.Comput.
Frequency: Bimonthly
Editor-in-Chief: Prof. Liansheng Tan
Executive Editor: Ms. Nina Lee
Abstracting/ Indexing: DBLP, EBSCO, ProQuest, INSPEC, ULRICH's Periodicals Directory, WorldCat,etc
E-mail: jcp@iap.org
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