Noise in an insect outbreak model
生物物理
2007-05-23 v1 q-bio
摘要
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.
引用
@article{arxiv.physics/0306177,
title = {Noise in an insect outbreak model},
author = {Bao-Quan Ai and Wei Chen and Xian-Ju Wang and Guo-Tao Liu and De-Hua Wen and Hui-Zhang Xie and Liang-Gang Liu},
journal= {arXiv preprint arXiv:physics/0306177},
year = {2007}
}
备注
8 pages, 4 figures