Abstract
The stochastic version of the non-linear model of population growth in a region is considered. The analysts of the model is carried out in terms of the Fokker-Planck equation under the assumption that the time scale of environmental fluctuations is much shorter than that of the macroscopic variables of the system. In a special case, explicit time dependence of the model is obtained. The role played by environmental stochasticity in determining the threshold conditions is thereby elucidated.
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