Observation of a feedback mechanism in a population model (Q1567539)

Here, the author studies the influence of a feedback mechanism of the type \(1-N(\tau(t))/K\), where \(K\) is a constant, on fluctuations of a population density \(N(t)\) around the equilibrium via a constant \(\lambda\) in the following population model \[ N'(t)=rN(t)|1-N(\tau(t))/K|^\lambda\text{ sgn}[\ln(K/N(\tau(t))]. \]