In this paper we consider networks that consist of components operating under a randomly changing common environment. Our work is motivated by power system networks that are subject to fluctuating weather conditions over time that affect the performance of the network. We develop a general setup for any network that is subject to such environment and present results for network reliability asse...

In this paper, the ratio of powers in the frequency bands of 2 β and  waves in EEG signals (termed as the 2 β /θ-ratio) was introduced as a potential enhancement in measuring anesthesia depth. The 2 β /θ-ratio was compared to the relative  -ratio which had been commercially used in the BIS monitor. Sensitivity and reliability of the 2 β /θ-ratio and EEG measurement locations were analyzed for...

In this paper, the ratio of powers in the frequency bands of 2 β and  waves in EEG signals (termed as the 2 β /θ-ratio) was introduced as a potential enhancement in measuring anesthesia depth. The 2 β /θ-ratio was compared to the relative  -ratio which had been commercially used in the BIS monitor. Sensitivity and reliability of the 2 β /θ-ratio and EEG measurement locations were analyzed for...

A Correction to this paper has been published: 10.1007/s11071-022-07409-3

A Correction to this paper has been published: 10.1007/s00034-022-02100-9

We consider the influence of a shifting environment and an advection on the spreading of an invasive species through a model given by the diffusive logistic equation with a free boundary. When the environment is shifting and without advection (β = 0), Du, Wei and Zhou in [16] showed that the species always dies out when the shifting speed c∗ ≥ C, and the long-time behavior of the species is det...