A commensal symbiosis model with non-monotonic functional response

Jinhuang Chen, Runxin Wu

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.

https://doi.org/10.28919/cmbn/2839


Full Text: PDF

Published: 2017-02-21

How to Cite this Article:

Jinhuang Chen, Runxin Wu, A commensal symbiosis model with non-monotonic functional response, Communications in Mathematical Biology and Neuroscience, Vol 2017 (2017), Article ID 5

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.

Commun. Math. Biol. Neurosci.

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