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Chin. Phys. B, 2012, Vol. 21(11): 110504    DOI: 10.1088/1674-1056/21/11/110504
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Enhancement of density divergence in an insect outbreak model driven by colored noise

Xiao Ronga, Wang Can-Juna b, Zhang Lina
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
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.
Keywords:  colored noise      insect outbreak model      stationary probability distribution function      mean first-passage time  
Received:  07 May 2012      Revised:  06 June 2012      Published:  01 October 2012
PACS:  05.45.-a (Nonlinear dynamics and chaos)  
  05.40.Ca (Noise)  
Fund: 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).
Corresponding Authors:  Zhang Lin     E-mail:

Cite this article: 

Xiao Rong, Wang Can-Jun, Zhang Lin Enhancement of density divergence in an insect outbreak model driven by colored noise 2012 Chin. Phys. B 21 110504

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