Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises

doi:10.1088/1674-1056/23/1/010502

Abstract We investigate the stochastic resonance (SR) phenomenon induced by the periodic signal in a metapopulation system with colored noises. The analytical expression of signal-to-noise is derived in the adiabatic limit. By numerical calculation, the effects of the addictive noise intensity, the multiplicative noise intensity and two noise self-correlation times on SNR are respectively discussed. It shows that: (i) in the case that the addictive noise intensity M takes a small value, a SR phenomenon for the curve of SNR appears; however, when M takes a large value, SNR turns into a monotonic function on the multiplicative noise intensity Q. (ii) The resonance peaks in the plots of the multiplicative noise intensity Q versus its self-correlation time τ₁ and the addictive noise intensity M versus its self-correlation time τ₂ translate in parallel. Meanwhile, a parallel translation also appears in the plots of τ₁ versus Q and τ₂ versus M. (iii) The interactive effects between self-correlation times τ₁ and τ₂ are opposite.

Keywords: metapopulation Levins model colored noises signal-to-noise ratio

Received: 25 January 2013
Revised: 03 July 2013
Accepted manuscript online:

PACS:	05.40.-a	(Fluctuation phenomena, random processes, noise, and Brownian motion)
	02.50.-r	(Probability theory, stochastic processes, and statistics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11072107, 91016022, and 11232007), the Research Fund of State Key Laboratory of Mechanics and Control of Mechanical Structures of Nanjing University of Aeronautics and astronautics, China (Grant No. 0113G01), the Natural Science Foundation of the Higher Education Institutions of Jiangsu Province, China (Grant No. 13KJB110006), and the Project Fund of Jiangsu University of Science and Technology, China (Grant No. 633051203).

Corresponding Authors: Liu Xian-Bin
E-mail: xbliu@nuaa.edu.cn

Cite this article:

Wang Kang-Kang (王康康), Liu Xian-Bin (刘先斌) Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises 2014 Chin. Phys. B 23 010502

[1]	McNamara B and Wiesenfeld K 1989 Phys. Rev. A 39 4854
[2]	Gammaitoni L, Hänggi P, Jung P and Machesoni F 1998 Rev. Mod. Phys. 70 223
[3]	Jia Y, Yu S and Li J 2000 Phys. Rev. E 62 1869
[4]	Luo X Q and Zhu S Q 2004 Chin. Phys. 13 1201
[5]	Li J H 2002 Phys. Rev. E 66 031104
[6]	Ning L J, Xu Wei and Yao M L 2008 Chin. Phys. B 17 0486
[7]	Lindner B, Garcia-Ojalvo J, Neiman A and Schimansky-Geier L 2004 Phys. Rep. 392 321
[8]	Volkov E I, Ullner E, Zaikin A A and Kurths J 2003 Phys. Rev. E 68 026214
[9]	Volkov E I, Ullner E, Zaikin A A and Kurths J 2003 Phys. Rev. E 68 061112
[10]	Neiman A and Schimansky-Gerier L 1995 Phys. Lett. A 197 379
[11]	Zhang X J and Wang G X 2004 Physica A 331 467
[12]	Gandhimathi V M, Murali K and Rajasekar S 2005 Physica A 347 99
[13]	Guo F, Zhou Y R, Jiang S Q and Gu T X 2006 Chin. Phys. Lett. 23 1705
[14]	Ning L J and Xu W 2007 Physica A 382 415
[15]	Murali K, Sudeshna S, William L and Bulsara A R 2009 Phys. Rev. Lett. 102 104101
[16]	Chen L M, Cao L and Wu D J 2007 Chin. Phys. 16 0123
[17]	Chen D Y and Zhang L 2009 Chin. Phys. B 18 1755
[18]	Mantegna R N and Spagnolo B 1994 Phys. Rev. E 49 R1792
[19]	Simon A and Libchaber A 1992 Phys. Rev. Lett. 68 3375
[20]	Jannelli J M, Yariv A, Chen T R and Zhuang Y H 1994 Appl. Phys. Lett. 65 1983
[21]	Douglas J K, Wilkens L, Pantazelou E and Moss F 1993 Natrure 365 337
[22]	Yang J H and Liu X B 2010 Chin. Phys. B 19 050504
[23]	Guo F, Luo X D, Li S F and Zhou Y R. 2010 Chin. Phys. B 19 080504
[24]	Guo F, Zhou Y R and Zhang Y 2010 Chin. Phys. B 19 070504
[25]	Guo F, Zhou Y R and Zhang Y 2010 Chin. Phys. Lett. 27 090506
[26]	Bai C Y, Yan Y and Mei D C 2010 Chin. Phys. B 19 060503
[27]	Jia Z L 2010 Chin. Phys. B 19 020504
[28]	Wang C J 2010 Chin. Phys. B 19 030503
[29]	Novikov E A 1965 Sov. Phys. JEPT 20 1290
[30]	Fox R F 1986 Phys. Rev. A 34 4525
[31]	Hänggi P and Jung P 1995 Adv. Chem. Phys. 89 239
[32]	Luo X Q and Zhu S Q 2003 Phys. Rev. E 67 021104
[33]	Levins R 1998 Theor. Popul. Biol. 53 30
[34]	Levins R 1970 Lect. Notes. Math. 2 75
[35]	Moilanen A and Hanski I 1998 Ecology 79 2503

[1]	Signal-to-noise ratio of Raman signal measured by multichannel detectors Xue-Lu Liu(刘雪璐), Yu-Chen Leng(冷宇辰), Miao-Ling Lin(林妙玲), Xin Cong(从鑫), and Ping-Heng Tan(谭平恒). Chin. Phys. B, 2021, 30(9): 097807.
[2]	Blind parameter estimation of pseudo-random binary code-linear frequency modulation signal based on Duffing oscillator at low SNR Ke Wang(王珂), Xiaopeng Yan(闫晓鹏), Ze Li(李泽), Xinhong Hao(郝新红), and Honghai Yu(于洪海). Chin. Phys. B, 2021, 30(5): 050708.
[3]	Novel Woods-Saxon stochastic resonance system for weak signal detection Yong-Hui Zhou(周永辉), Xue-Mei Xu(许雪梅), Lin-Zi Yin(尹林子), Yi-Peng Ding(丁一鹏), Jia-Feng Ding(丁家峰), Ke-Hui Sun(孙克辉). Chin. Phys. B, 2020, 29(4): 040503.
[4]	Noise properties of multi-combination information in x-ray grating-based phase-contrast imaging Wali Faiz, Ji Li(李冀), Kun Gao(高昆), Zhao Wu(吴朝), Yao-Hu Lei(雷耀虎), Jian-Heng Huang(黄建衡), Pei-Ping Zhu(朱佩平). Chin. Phys. B, 2020, 29(1): 014301.
[5]	Optimization of pick-up coils for weakly damped SQUID gradiometers Kang Yang(杨康), Jialei Wang(王佳磊), Xiangyan Kong(孔祥燕), Ruihu Yang(杨瑞虎), Hua Chen(陈桦). Chin. Phys. B, 2018, 27(5): 050701.
[6]	Implication of two-coupled tri-stable stochastic resonance in weak signal detection Quan-Quan Li(李泉泉), Xue-Mei Xu(许雪梅), Lin-Zi Yin(尹林子), Yi-Peng Ding(丁一鹏), Jia-Feng Ding(丁家峰), Ke-Hui Sun(孙克辉). Chin. Phys. B, 2018, 27(3): 034203.
[7]	Noise analysis of grating-based x-ray differential phase-contrast imaging with angular signal radiography Wali Faiz, Yuan Bao(鲍园), Kun Gao(高昆), Zhao Wu(吴朝), Chen-Xi Wei(卫晨希), Gui-Bin Zan(昝贵彬), Pei-Ping Zhu(朱佩平), Yang-Chao Tian(田扬超). Chin. Phys. B, 2017, 26(4): 040602.
[8]	Signal-to-noise ratio comparison of angular signal radiography and phase stepping method Wali Faiz, Peiping Zhu(朱佩平), Renfang Hu(胡仁芳), Kun Gao(高昆), Zhao Wu(吴朝), Yuan Bao(鲍园), Yangchao Tian(田扬超). Chin. Phys. B, 2017, 26(12): 120601.
[9]	Enhancement of signal-to-noise ratio of ultracold polar NaCs molecular spectra by phase locking detection Wenhao Wang(王文浩), Wenliang Liu(刘文良), Jizhou Wu(武寄洲), Yuqing Li(李玉清), Xiaofeng Wang(王晓锋), Yanyan Liu(刘艳艳), Jie Ma(马杰), Liantuan Xiao(肖连团), Suotang Jia(贾锁堂). Chin. Phys. B, 2017, 26(12): 123701.
[10]	Stochastic resonance in an over-damped linear oscillator Lin Li-Feng (林丽烽), Tian Yan (田艳), Ma Hong (马洪). Chin. Phys. B, 2014, 23(8): 080503.
[11]	Theory of noise in a kilo-Hz cascaded high-energy Yb-doped nanosecond pulsed fiber amplifier Liu Ming (刘明), Zhang Hai-Tao (张海涛), Gong Ma-Li (巩马理), Zhao Yue-Jin (赵跃进), Cheng Wen-Yong (程文雍), Meng Kuo (孟阔), Zheng Chao (郑超), Chen Yi-Zhu (陈倚竹). Chin. Phys. B, 2014, 23(4): 044214.
[12]	Digital coherent detection research on Brillouin optical time domain reflectometry with simplex pulse codes Hao Yun-Qi (郝蕴琦), Ye Qing (叶青), Pan Zheng-Qing (潘政清), Cai Hai-Wen (蔡海文), Qu Rong-Hui (瞿荣辉). Chin. Phys. B, 2014, 23(11): 110703.
[13]	Single-photon modulation spectrum Liu Yan (刘岩), Yu Bo (于波), He Bo (何博), Zhang Guo-Feng (张国峰), Xiao Lian-Tuan (肖连团), Jia Suo-Tang (贾锁堂). Chin. Phys. B, 2014, 23(1): 010101.
[14]	A modified phase diversity wavefront sensor with a diffraction grating Luo Qun (罗群), Huang Lin-Hai (黄林海), Gu Nai-Ting (顾乃庭), Rao Chang-Hui (饶长辉). Chin. Phys. B, 2012, 21(9): 094201.
[15]	Entropic stochastic resonance in a confined structure driven by dichotomous noise and white noises Guo Feng (郭锋), Cheng Xiao-Feng (程晓锋), Li Shao-Fu (李少甫), Cao Wen (曹文), Li Heng (黎恒). Chin. Phys. B, 2012, 21(8): 080502.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises

Cite this article:

Online attention