A slight variation of the Ricker model

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Suppose you are modelling a population of a single species at a time $t$, $N_t$. But to make it slightly simpler you want to explore $\hat{N_t}$, which is defined by $\hat{N_t} = \frac{N_t}{K}$ where $K$ is the carrying capacity of the population.

The Ricker model has the standard equation

$N_{t+1} = N_te^{r\left({1 - \frac{N_t}{k}}\right)}$

Which using $\hat{N_t}$ becomes

$\hat{N}_{t+1} = \hat{N}_te^{r\left(1 - \hat{N_t}\right)}$.

However the variation of this that I am looking at is

$\hat{N}_{t+1} = \hat{N}_te^{r\left(1 - \hat{N_t}\right)} + Q$.

What is the meaning of Q here and how does this affect population growth over time?