  A detailed examination of the effect of harvesting on a population has been
carried out by extending the standard cubic deterministic model by considering
a population under Allee effect with a quadratic function representing
harvesting. Weak and strong Allee effect transitions, carrying capacity, and
Allee threshold change according to harvesting is first discussed in the
deterministic model. A Fokker Planck equation has been obtained starting from a
Langevin equation subject to correlated Gaussian white noise with zero mean,
and an Approximate Fokker Planck Equation has been obtained from a Langevin
equation subject to correlated Gaussian colored noise with zero mean. This
allowed to calculate the stationary probability distributions of populations,
and thus to discuss the effects of linear and nonlinear (Holling type-II)
harvesting for populations under Allee effect and subject to white and colored
noises respectively.
