[1]方次军,刘先斌.色噪声与乘性信号驱动下昆虫爆发系统的稳定性和随机共振[J].江西师范大学学报(自然科学版),2017,(06):623-628.
　FANG Cijun,LIU Xianbin.The Steady State Property and Stochastic Resonance for an Insect Outbreak Model Driven by Colored Noises and a Multiplicative Periodic Signal[J].Journal of Jiangxi Normal University:Natural Science Edition,2017,(06):623-628.
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色噪声与乘性信号驱动下昆虫爆发系统的稳定性和随机共振()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2017年06期
页码:
623-628
栏目:
出版日期:
2017-12-01

文章信息/Info

Title:
The Steady State Property and Stochastic Resonance for an Insect Outbreak Model Driven by Colored Noises and a Multiplicative Periodic Signal
作者:
方次军; 刘先斌
1.南京航空航天大学机械结构力学及控制国家重点实验室, 江苏 南京 210016; 2.湖北工业大学理学院, 湖北 武汉 430068
Author(s):
FANG Cijun; LIU Xianbin
1.State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing Jiangsu 210016, China; 2.School of Science, Hubei University of Technology, Wuhan Hubei 430068, China
关键词:
昆虫爆发模型;  色噪声;  FPK方程;  稳态概率分布函数;  随机共振
Keywords:
insect outbreak model;  colored noises;  FPK equation;  steady-state probability distribution function;  stochastic resonance
分类号:
O 324
文献标志码:
A
摘要:
研究的是一类受色噪声和乘性周期信号驱动的昆虫爆发系统的稳定性和随机共振现象.首先对于一类由色交叉关联噪声驱动的昆虫爆发种群系统,通过应用FPK方程,获取了系统的稳态概率分布函数的近似表达式,重点讨论了噪声强度及自相关时间对此类昆虫爆发系统稳定性的影响; 然后通过加入弱乘性周期信号,根据快速下降法和两态理论给出了信噪比公式,研究了噪声及其关联时间对于昆虫系统信噪比的影响.进而分析它们对系统种群数的稳定性和延续存活时间的一些实际作用
Abstract:
The steady state behavior and the stochastic resonance of an insect outbreak model induced by colored noises and a multiplicative periodic signal are studied.Firstly,for an insect outbreak model driven by colored correlation of noises.The steady state probability distribution function of the system is obtained by applying the Fokker-Planck equation.The influence of noises intensity and correlation time on the stability of the system are discussed.Then by adding the weak multiplicative periodic signal, the signal noise ratio formula is given by the fast descent method and the two-state theory.The influence of noises intensity and correlation time on the SNR of the insect system are studied. Consequently, the stability of the system population and the actual survival time are analyzed.

参考文献/References:

[1] Holling C S.Resillience and stability of ecological systems [J].Annu Rev Ecol Syst,1973,4(1):1-23.
[2] Shnerb N M,Sarah P,Lavee H,et al.Reactive glass,and vegetation patterns [J].Phys Rev Lett,2003,90(3):038101.
[3] Guttal V,Jayaprakash C.Impact of noise on bistable ecological systems [J].Ecol Model,2007,201(420):420-428.
[4] Zeng Chunhua,Wang Hua.Noise and large time delay:Accelerated catastrophic regime shifts in ecosystems [J].Ecol Model,2012,233(1):52-58.
[5] Jia Zhenglin,Mei Dongcheng.Noise-induced phenomena in the dynamics of groundwater-dependent plant ecosystems with time delay [J].Stat Mech,2015(5):P05034.
[6] Han Qinglin,Yang Tao,Zeng Chunhua,et al.Impact of time delays on stochastic resonance in an ecological system describing vegetation [J].Physica A,2014,408(408):96-105.
[7] Trapanese M.Noise enhanced stability in magnetic systems [J].J Appl Phys,2009,105(7):519-525.
[8] Hu Dongliang,Yang Jianhua,Liu Xianbin.Delay-induced vibrational resonance in FitzHugh-Nagumo system [J].Communications in nonlinear science and numerical simulation,2012,17(2):1031-1035.
[9] Zhou Bingchang,Lin Dandan.Stochastic resonance in an asymmetric bistable system driven by multiplicative and additive trichotomous noises [J].Chinese Journal of Physics,2017,55(3):1078-1084.
[10] Rajesh S,O’Carroll DC,Abbott D.Effect of spatial sampling on pattern noise in insect-based motion detection [M].Sydney:Published in Society of Photo-Optical Instrumentation Engineers,2005.
[11] Murray J D.Mathematical biology [M].Berlin:Springer-Verlag,1991:4-8.
[12] Ludwing D.W?rterbücher als spiegel gesellschafttlicher ver?nderungen [J].Germanistische Linguistik,2008,192(94):535-554.
[13] Novikov E A.Functional and random-force method in turbulence theory [J].Sov Phys JEPT,1965,20(5):1290-1294.
[14] Fox R F.Functional-calculus approach to stochastic differential equations [J].Phys Rev A,1986,33(1):467-476.
[15] McNamara B,Wiesenfeld K.Theory of stochastic resonance [J].Physics review A,1989,39(9):4854-4869.
[16] Wang Kangkang,Liu Xianbin.Mean reproduction time and mean depression time for an insect outbreak model driven by correlated multiplicative and additive noises [J].Chinese Journal of Physics,2014,52(4):1340-1354.

备注/Memo

备注/Memo:
收稿日期:2017-08-20基金项目:国家自然科学基金(10672074,11072107)资助项目.通信作者:刘先斌(1964- ),男,江苏南京人,教授,博士,博士生导师,主要从事非线性随机动力学方面的研究.E-mail:xbliu@nuaa.edu.cn
更新日期/Last Update: 1900-01-01