A commensal symbiosis model with non-monotonic functional response
Abstract
A two species commensal symbiosis model with non-monotonic functional response takes the form
$$
\di\frac{dx}{dt}=x\Big(a_1-b_1x+\di\frac{c_1y }{d_1+y^2}\Big),
\di\frac{dy}{dt}=y(a_2-b_2y)
$$
is proposed and studied, where $a_i, b_i, i=1,2$ $c_1$ and $d_1$ are all positive constants. We show that the system admits a unique globally asymptotically stable positive equilibrium.
- Published
- 21 February 2017
- Volume
- 2017 (2017)
- License
- CC BY 3.0
Copyright © 2017 Jinhuang Chen, Runxin Wu. 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
J. Chen, R. Wu, A commensal symbiosis model with non-monotonic functional response, Commun. Math. Biol. Neurosci. 2017 (2017), 5.
BibTeX
@article{Chen2017,
author = {Chen, Jinhuang and Wu, Runxin},
title = {A commensal symbiosis model with non-monotonic functional response},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2017},
year = {2017},
pages = {5},
doi = {}
}