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arxiv physics/0306177 v1 pith:Y5BXFASC submitted 2003-06-25 physics.bio-ph q-bio

Noise in an insect outbreak model

classification physics.bio-ph q-bio
keywords noiseinsectmodelfluctuationsinsectsoutbreakpopulationrate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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