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.

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