A Mathematical Modeling Approach to Analyse the Effect of Additional Food in a Predator-Prey Interactions with a White Gaussian Noise in Prey’s Growth Rate

Author(s):  
Aytül Gökçe
2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ziyou Zhou ◽  
Can Wu ◽  
Zhen Hu ◽  
Yujuan Chai ◽  
Kai Chen ◽  
...  

AbstractIt has been known that short-time auditory stimulation can contribute to the improvement of the balancing ability of the human body. The present study aims to explore the effects of white Gaussian noise (WGN) of different intensities and frequencies on dynamic balance performance in healthy young adults. A total of 20 healthy young participants were asked to stand at a dynamic balance force platform, which swung along the x-axis with an amplitude of ± 4° and frequency of 1 Hz. Their center of pressure (COP) trajectories were recorded when they were stimulated by WGN of different intensities (block 1) and different frequencies (block 2). A traditional method and detrended fluctuation analysis (DFA) were used for data preprocessing. The authors found that only with 75–85 dB WGN, the COP parameters improved. WGN frequency did not affect the dynamic balance performance of all the participants. The DFA results indicated stimulation with 75 dB WGN enhanced the short-term index and reduced the crossover point. Stimulation with 500 Hz and 2500 Hz WGN significantly enhanced the short-term index. These results suggest that 75 dB WGN and 500 Hz and 2500 Hz WGN improved the participants’ dynamic balance performance. The results of this study indicate that a certain intensity of WGN is indispensable to achieve a remarkable improvement in dynamic balance. The DFA results suggest that WGN only affected the short-term persistence, indicating the potential of WGN being considered as an adjuvant therapy in low-speed rehabilitation training.


2021 ◽  
pp. 107140
Author(s):  
Iulia Martina Bulai ◽  
Ana Cristina Esteves ◽  
Fernanda Lima ◽  
Ezio Venturino

Author(s):  
Yagang Zhang ◽  
Zengping Wang ◽  
Jinfang Zhang

In this paper on strong white Gaussian noise background based on discriminant analysis theory, we mainly adopt synchronized sequence measurements of PMU to search for laws of electrical quantities marked changes. We have developed a method to quickly and accurately discriminate fault components and fault sections. The research has shown that the fault discrimination by discriminant analysis theory is effective and reliable. Under the interference of strong random white Gaussian noise, discriminant analysis still has high redundancy.


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