Enhancement of density divergence in an insect outbreak model driven by colored noise  

作　　者：肖荣 王参军 张林 

机构地区：[1]Theoretical&Computational Institute,School of Physics and Information Technology,Shaanxi Normal University [2]Nonlinear Research Institute,Baoji University of Arts and Sciences

出　　处：《Chinese Physics B》2012年第11期121-125,共5页中国物理B（英文版）

基　　金：Project supported by the Natural Science Basic Research Plan in Shaanxi Province,China (Grant No. SJ08A12);the Science Foundation of the Education Bureau of Shaanxi Province,China (Grant No. 12JK0962);the Science Foundation of Baoji University of Science and Arts of China (Grant No. ZK11053)

摘　　要：The steady states and the transient properties of an insect outbreak model driven by Gaussian colored noise are studied in this paper. According to the Fokker-Planck equation in the unified colored-noise approximation, we analyse the stationary probability distribution and the mean first-passage time of this model. By numerical analysis, the effects of the self-correlation time of insect birth rate and predation rate respectively reveal a manifest population divergence on the insect density. The decrease of the mean first-passage time indicates an enhancement dynamic on the density divergency with colored noise of a large self-correlation time based on the insect outbreak model.The steady states and the transient properties of an insect outbreak model driven by Gaussian colored noise are studied in this paper. According to the Fokker-Planck equation in the unified colored-noise approximation, we analyse the stationary probability distribution and the mean first-passage time of this model. By numerical analysis, the effects of the self-correlation time of insect birth rate and predation rate respectively reveal a manifest population divergence on the insect density. The decrease of the mean first-passage time indicates an enhancement dynamic on the density divergency with colored noise of a large self-correlation time based on the insect outbreak model.

关 键 词：colored noise insect outbreak model stationary probability distribution function meanfirst-passage time 

分 类 号：O415[理学—理论物理]