Stochastic resonance and stability for an ecological vegetation growth system driven by colored noises and multiplicative signal
Stochastic resonance and stability for an ecological vegetation growth system driven by colored noises and multiplicative signal
复制标题
有色噪声和乘性信号驱动的生态植被生长系统的随机共振和稳定性
DOI：
10.1142/s0217984916503085
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发表时间：
2016
影响因子：
1.9
通讯作者：
Wu Jian-Cheng
中科院分区：
文献类型：
--
作者：
Wang Kang-Kang;Wang Ya-Jun;Wu Jian-Cheng
本文研究了由乘性和加性有色噪声项诱导的生态植被生长系统的定态性质和转移率。数值结果表明，乘性噪声和加性噪声降低了生态系统的稳定性，减缓了植被的发展速度，而两个噪声自相关时间增加了系统的稳定性，加快了植被系统的扩展过程.对于噪声项和乘性弱周期信号引起的随机共振现象，结果表明，加性噪声总是增强随机共振效应，两个噪声自相关时间项也能产生随机共振现象，但在不同参数条件下对增强或抑制随机共振效应的作用相反。特别地，两个自相关时间可以保持信噪比（SNR）的最大值在特定情况下不变。类似地，乘性噪声不仅可以提高信噪比，而且在不同情况下可以抑制SR现象。
In this paper, we investigate the steady-state properties and the transition rate for an ecological vegetation growth system induced by the terms of the colored multiplicative and additive noises. Numerical results indicate that the multiplicative noise and the additive one can reduce the stability of the ecological system and slow down the development velocity of the vegetation, while two noise self-correlation times can increase the stability of the system and speed up the expansion process of the vegetation system. With respect to the stochastic resonance (SR) phenomenon caused by noise terms and a multiplicative weak periodic signal, the results show that the additive noise always enhances the SR effect, two noise self-correlation time terms can produce SR phenomenon, but play opposite roles in enhancing or inhibiting the SR effect under different parameter conditions. In particular, the two self-correlation times can keep up the maximum of the signal-to-noise ratio (SNR) invariant in specific situations. Analogously, the multiplicative noise can not only improve the SNR, but also restrain the SR phenomenon in different cases.