Correction to: Scientific Reports https://doi.org/10.1038/s41598-018-30818-7, published online 16 August 2018

This Article contains an error in Equation 1c, where

$$\frac{d{Y}_{u}}{dt}={g}_{u}{a}_{u}({X}_{u}+{X}_{i}){Y}_{u}+{g}_{i}{a}_{i}({X}_{u}+{X}_{i}){Y}_{i}-{c}_{u}{Y}_{u}-{\beta }_{Y}{a}_{i}{X}_{i}{Y}_{u},$$
(1c)

should read:

$$\frac{d{Y}_{u}}{dt}={g}_{u}({a}_{u}{X}_{u}+{a}_{i}{X}_{i}){Y}_{u}+{g}_{i}({a}_{u}{X}_{u}+{a}_{i}{X}_{i}){Y}_{i}-{c}_{u}{Y}_{u}-{\beta }_{Y}{a}_{i}{X}_{i}{Y}_{u},$$
(1c)