Impact of Time Delay and Cross-Correlated Gaussian Colored Noises on Dynamical Characteristics and Stochastic Resonance for a Metapopulation System,Fluctuation and Noise Letters

当前位置： X-MOL 学术 › Fluct. Noise Lett. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Impact of Time Delay and Cross-Correlated Gaussian Colored Noises on Dynamical Characteristics and Stochastic Resonance for a Metapopulation System
Fluctuation and Noise Letters ( IF 1.2 ) Pub Date : 2020-11-23 , DOI: 10.1142/s0219477521500243
Kang-Kang Wang _{1,

2} , De-Cai Zong ₃ , Ya-Jun Wang ₁ , Sheng-Hong Li ₁

Affiliation

In this paper, the regime shift behaviors between the prosperous state and the extinction state and stochastic resonance (SR) phenomenon for a metapopulation system subjected to time delay and correlated Gaussian colored noises are investigated. Through the numerical calculation of the modified potential function and the stationary probability density function (SPDF), one can make clearly the following results: Both multiplicative noise and noise correlation times can improve effectively the ecological stability and prolong the survival time of the system; while additive noise, time delay and noise correlation strength can weaken significantly the biological stability and speed up the extinction of the population. As for the signal-to-noise ratio (SNR), it is found that time delay, multiplicative noise and noise correlation strength can all impair the SR effect. Conversely, the two noise correlation times and additive noise are in favor of the improvement of the peak values of SNR. It is particularly worth mentioning that in the case of M=0.03, time delay α and self-correlation time τ2 of the additive noise display exactly the opposite effect on the stimulation of the resonant peak in the SNR–λ plots.

更新日期：2020-11-23

点击分享查看原文

点击收藏

阅读更多本刊最新论文本刊介绍/投稿指南11