Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(11): 110504    DOI: 10.1088/1674-1056/21/11/110504
GENERAL Prev   Next  

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:  zhanglincn@snnu.edu.cn

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

[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
[1] Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback
Ting-Ting Shi(石婷婷), Xue-Mei Xu(许雪梅), Ke-Hui Sun(孙克辉), Yi-Peng Ding(丁一鹏), Guo-Wei Huang(黄国伟). Chin. Phys. B, 2020, 29(5): 050501.
[2] Influence of the colored noise on determining the period of a torsion pendulum
Jie Luo(罗 杰), Wen-Ze Zhan(占文泽), Wei-Huang Wu(巫伟皇), Cheng-Gang Shao(邵成刚), Dian-Hong Wang(王典洪). Chin. Phys. B, 2016, 25(8): 080401.
[3] Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises
Wang Kang-Kang, Liu Xian-Bin. Chin. Phys. B, 2014, 23(1): 010502.
[4] Stochastic responses of Duffing–Van der Pol vibro-impact system under additive colored noise excitation
Li Chao, Xu Wei, Wang Liang, Li Dong-Xi. Chin. Phys. B, 2013, 22(11): 110205.
[5] Random walks in generalized delayed recursive trees
Sun Wei-Gang, Zhang Jing-Yuan, Chen Guan-Rong. Chin. Phys. B, 2013, 22(10): 108904.
[6] Exact scaling for the mean first-passage time of random walks on a generalized Koch network with a trap
Zhang Jing-Yuan,Sun Wei-Gang,Chen Guan-Rong. Chin. Phys. B, 2012, 21(3): 038901.
[7] Energy diffusion controlled reaction rate in dissipative Hamiltonian systems
Deng Mao-Lin, Zhu Wei-Qiu. Chin. Phys. B, 2007, 16(6): 1510-1515.
No Suggested Reading articles found!