中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110504-110504.doi: 10.1088/1674-1056/21/11/110504

• GENERAL • 上一篇    下一篇

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

肖荣a, 王参军a b, 张林a   

  1. a Theoretical & Computational Institute, School of Physics and Information Technology, Shaanxi Normal University, Shaanxi 710062, China;
    b Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721016, China
  • 收稿日期:2012-05-07 修回日期:2012-06-06 出版日期:2012-10-01 发布日期:2012-10-01
  • 基金资助:
    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), and the Science Foundation of Baoji University of Science and Arts of China (Grant No. ZK11053).

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

Xiao Rong (肖荣)a, Wang Can-Jun (王参军)a b, Zhang Lin (张林 )a   

  1. a Theoretical & Computational Institute, School of Physics and Information Technology, Shaanxi Normal University, Shaanxi 710062, China;
    b Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji 721016, China
  • Received:2012-05-07 Revised:2012-06-06 Online:2012-10-01 Published:2012-10-01
  • Contact: Zhang Lin E-mail:zhanglincn@snnu.edu.cn
  • Supported by:
    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), and the Science Foundation of Baoji University of Science and Arts of China (Grant No. ZK11053).

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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 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 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 large self-correlation time based on the insect outbreak model.

关键词: colored noise, insect outbreak model, stationary probability distribution function, mean first-passage time

Abstract: The steady states and the transient properties of an insect outbreak model driven by Gaussian colored noise are studied in this paper. According to 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 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 large self-correlation time based on the insect outbreak model.

Key words: colored noise, insect outbreak model, stationary probability distribution function, mean first-passage time

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.40.Ca (Noise)