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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2015 (2015)

Commun. Math. Biol. Neurosci. 2015 (2015), Article ID 15

Global stability of a commensal symbiosis model with feedback controls

Rongyu Han, Fengde Chen

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Abstract

In this paper, a commensal symbiosis model with feedback controls is investigated. By constructing a suitable Lyapunov function, we show that the positive equilibrium of the system is globally stable, which means that feedback control variables only change the position of the positive equilibrium and retain its global stability property.

Published
11 May 2015
Volume
2015 (2015)
License
CC BY 3.0

Copyright © 2015 Rongyu Han, Fengde Chen. 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

R. Han, F. Chen, Global stability of a commensal symbiosis model with feedback controls, Commun. Math. Biol. Neurosci. 2015 (2015), 15.

BibTeX
@article{Han2015,
  author  = {Han, Rongyu and Chen, Fengde},
  title   = {Global stability of a commensal symbiosis model with feedback controls},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2015},
  year    = {2015},
  pages   = {15},
  doi     = {}
}