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The Parameters Effect on the Stability in Microbial Growth Model
Journal Title Journal of Computers
Journal Abbreviation jcp
Publisher Group Academy Publisher
Website http://ojs.academypublisher.com
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Title The Parameters Effect on the Stability in Microbial Growth Model
Authors Men, Hong; Li, YuHong; Tian, FangBao
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.
Publisher ACADEMY PUBLISHER
Date 2010-05-01
Source Journal of Computers Vol 5, No 5 (2010)
Rights Copyright © ACADEMY PUBLISHER - All Rights Reserved.To request permission, please check out URL: http://www.academypublisher.com/copyrightpermission.html.

 

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