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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2017 (2017)

Commun. Math. Biol. Neurosci. 2017 (2017), Article ID 20

Global dynamics in a chemostat with multiple resources and toxin

Yongzhen Pei, Qiaoqiao Zhao, Changguo Li

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Abstract

A mathematical model for the dynamics of the bacterial population in response to toxin challenge is presented. Then it is developed the theory by analyzing two extreme cases (no control and constant control) and the intermediate case. This leads to a local sufficient condition for treatment success ofwaste water. Also we give a condition for global treatment, supported by numerical simulations of the model.

https://doi.org/10.28919/cmbn/3389

Published
8 September 2017
Volume
2017 (2017)
License
CC BY 3.0

Copyright © 2017 Yongzhen Pei, Qiaoqiao Zhao, Changguo Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

Y. Pei, Q. Zhao, C. Li, Global dynamics in a chemostat with multiple resources and toxin, Commun. Math. Biol. Neurosci. 2017 (2017), 20.

BibTeX
@article{Pei2017,
  author  = {Pei, Yongzhen and Zhao, Qiaoqiao and Li, Changguo},
  title   = {Global dynamics in a chemostat with multiple resources and toxin},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2017},
  year    = {2017},
  pages   = {20},
  doi     = {}
}