  We study the steady state properties of an insect (spruce budworm) outbreak
model in the presence of Gaussian white noise. Based on the corresponding
Fokker-Planck equation the steady state solution of the probability
distribution function and its extrema have been investigated. It was found that
fluctuations of the insect birth rate reduces the population of the insects
while fluctuations of predation rate and the noise correlation can prevent the
population of the insects from going into extinction. Noise in the model can
induce a phase transition.
