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

doi:10.1088/1674-1056/21/11/110504

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
Accepted manuscript online:

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: zhanglincn@snnu.edu.cn

Cite this article:

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

[1]	Ai B Q, Wei C, Wang X J, Liu G T and Liu L G 2003 Commum. Theor. Phys. 40 120
[2]	Ai B Q, Wei C, Wang X J, Liu G T, Wen D H, Xie H Z and Liu L G 2003 Chin. J. Phys. 41 422
[3]	Zhong W R, Shao Y Z and He Z H 2005 Chin. Sci. Bull. 50 2273
[4]	Zhong W R, Shao Y Z and He Z H 2005 Chin. Sci. Bull. 50 2475
[5]	Ai B Q, Wang X J, Liu G T and Liu L G 2003 Phys. Rev. E 67 22903
[6]	Wang C J, Wei Q, Zheng B B and Mei D C 2008 Acta. Phys. Sin. 57 1375 (in Chinese)
[7]	Wang C J, Li D and Mei D C 2009 Commun. Theor. Phys. 52 463
[8]	Wang C J and Mei D C 2008 Acta. Phys. Sin. 57 3983 (in Chinese)
[9]	Zhu S Q 1993 Phys. Rev. A 47 2045
[10]	Zhang L, Cao L and Wu D J 2004 Chin. Phys. 13 353
[11]	Xu D S, Cao L and Wu D J 2006 Acta. Phys. Sin. 55 692 (in Chinese)
[12]	Zhang L Y, Cao L and Wu D J 2003 Acta. Phys. Sin. 52 1174 (in Chinese)
[13]	Wu D J, Cao L and Ke S Z 1994 Phys. Rev. E 50 2496
[14]	Cao L, Wu D J and Ke S Z 1995 Phys. Rev. E 52 3228
[15]	Masoliver J, West B J and Lindenberg K 1987 Phys. Rev. A 35 3086
[16]	Jin Y F and Xu W 2005 Chaos Soliton. Fract. 23 275
[17]	Xie C W and Mei D C 2003 Chin. Phys. Lett. 20 813
[18]	Mei D C, Jia Z L and Wang C J 2011 Phys. Scr. 84 045012
[19]	Jia Y and Li J R 1996 Phys. Rev. E 53 5786
[20]	Fiasconaro A, Valenti A and Spagnolo B 2003 Physica A 325 136
[21]	Masoliver J, Lindenberg K and West B J 1986 Phys. Rev. A 34 1481
[22]	Weiss G H, Masoliver J, Lindenberg K and West B 1987 Phys. Rev. A 36 1435
[23]	Hu G 1994 Stochastic Forces and Nonlinear System (Vol. 1) (Shanghai: Shanghai Science and Technology Education Publishing house) p. 263 (in Chinese)
[24]	Li D X, Xu W, Guo Y F and Wang L 2008 Commun. Theor. Phys. 49 689
[25]	Fox R F 1986 Phys. Rev. A 33 467

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

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