scholarly journals Comparison of two mean-field based theoretical analysis methods for SIS model

2017 ◽  
Vol 104 ◽  
pp. 209-214 ◽  
Author(s):  
Jiaquan Zhang ◽  
Dan Lu ◽  
Shunkun Yang
Keyword(s):  
Theoretical Analysis ◽  
Mean Field ◽  
Sis Model ◽  
Analysis Methods

Study on Passive Sprinkler Dust Car Underground

2014 ◽  
Vol 889-890 ◽  
pp. 404-407 ◽  
Author(s):  
Jian Zhong Zhang ◽  
Fei Yang ◽  
Lei Zhao
Keyword(s):  
Theoretical Analysis ◽  
Basic Structure ◽  
Dust Removal ◽  
Spray Parameters ◽  
Analysis Methods ◽  
Working Principle ◽  
The Relationship

This paper introduces a kind of dust removal device-passive sprinkler dust car which is often used to improve the environment and to prevent dust underground. The function, working principle and basic structure of passive sprinkler dust car underground as well as how its main parts work are mainly described in this article. Moreover, the relationship between the spray parameters and the efficiency of reducing dust is studied by adopting the combination of experiment and theoretical analysis methods in order to obtain higher efficiency of reducing dust in this paper.

scholarly journals Theoretical analysis of the distribution of isolated particles in the TASEP: Application to mRNA translation rate estimation

2017 ◽  
Author(s):  
Khanh Dao Duc ◽  
Zain H. Saleem ◽  
Yun S. Song
Keyword(s):  
Theoretical Analysis ◽  
Nearest Neighbor ◽  
Average Distance ◽  
Mean Field ◽  
Exclusion Process ◽  
Mrna Translation ◽  
Ribosome Profiling ◽  
Asymmetric Exclusion Process ◽  
Initiation Rate ◽  
Translation Rate

AbstractThe Totally Asymmetric Exclusion Process (TASEP) is a classical stochastic model for describing the transport of interacting particles, such as ribosomes moving along the mRNA during translation. Although this model has been widely studied in the past, the extent of collision between particles and the average distance between a particle to its nearest neighbor have not been quantified explicitly. We provide here a theoretical analysis of such quantities via the distribution of isolated particles. In the classical form of the model in which each particle occupies only a single site, we obtain an exact analytic solution using the Matrix Ansatz. We then employ a refined mean field approach to extend the analysis to a generalized TASEP with particles of an arbitrary size. Our theoretical study has direct applications in mRNA translation and the interpretation of experimental ribosome profiling data. In particular, our analysis of data from S. cerevisiae suggests a potential bias against the detection of nearby ribosomes with gap distance less than ~ 3 codons, which leads to some ambiguity in estimating the initiation rate and protein production flux for a substantial fraction of genes. Despite such ambiguity, however, we demonstrate theoretically that the interference rate associated with collisions can be robustly estimated, and show that approximately 1% of the translating ribosomes get obstructed.

SPREADING DYNAMICS OF A DISEASE-AWARENESS SIS MODEL ON COMPLEX NETWORKS

2013 ◽  
Vol 06 (04) ◽  
pp. 1350025 ◽  
Author(s):  
BEI LIN ◽  
ZHENLONG SUN ◽  
XINCHU FU ◽  
GUANGHU ZHU
Keyword(s):  
Theoretical Analysis ◽  
Network Structure ◽  
Control Variable ◽  
Model Parameters ◽  
Spread Rate ◽  
Sis Model ◽  
Disease Awareness ◽  
Spreading Dynamics ◽  
The Impact ◽  
Disease Free

In this paper, to better understand the impact of awareness and the network structure on epidemic transmission, we divide the population into four subpopulations corresponding to different physical states and conscious states, and we first propose a modified disease-awareness model, then verify the global stability of the disease-free and endemic equilibria, and finally present numerical simulations to demonstrate the theoretical analysis. By examining the spreading influences of model parameters, we find that the outbreak scale can be effectively controlled through increasing the spread rate of awareness or reducing the rate of awareness loss. That is to say, all sorts of media publicity are meaningful. Meanwhile, we find that infection will be affected by consciousness through the control variable.

Spatial Scale Study of the Landscape of the Elevated Rail Transit Line

2012 ◽  
Vol 174-177 ◽  
pp. 2657-2661
Author(s):  
Ying Hua Bao ◽  
Yu Nan Zhang ◽  
Lei Wang
Keyword(s):  
Theoretical Analysis ◽  
Spatial Scale ◽  
Spatial Dimension ◽  
Rail Transit ◽  
Overhead Line ◽  
Analysis Methods ◽  
City Space ◽  
Scale Range ◽  
Height Scale

The article aimed at the problems in the spatial scale occurred in the process of the fusion of elevated rail transit line and city space. Study on D/H for each spatial dimension of the overhead line and city space convergence. Use theoretical analysis methods from the perspective of characteristics and double scales. The results show that the elevated rail transit line height scale range for 6.5m-8m，the suitability D / H is between 2-3 for overhead line and road with typical street section, and space near the elevated line should be carried out in details in the elevation below 12m.

The analysis of epidemic spreading on clique-overlapping growth network

2020 ◽  
Vol 34 (26) ◽  
pp. 2050235
Author(s):  
Zhenzhou Lin
Keyword(s):  
Theoretical Analysis ◽  
Mean Field Theory ◽  
Mean Field ◽  
Epidemic Outbreak ◽  
Epidemic Spreading ◽  
Epidemic Threshold ◽  
Epidemic Dynamics ◽  
Immunization Strategies ◽  
The Mean ◽  
Real Complex

In this paper, we propose a new clique-overlapping growth network and study the epidemic spreading on it. We verify by simulation and theoretical analysis that the degree distribution follows a power-law form. Then, we have simulated the epidemic dynamics in this clique-overlapping growth network. Based on the mean-field theory, we have obtained the theoretical epidemic threshold. We find that the epidemic threshold is related to the evolution mechanism of the network model. The theoretical analysis is well consistent with the simulation results. The results in this model can help people understand the epidemic spreading of various processes, such as infectious diseases, computer viruses, gossips, and so on in real complex networks. Moreover, the appropriate immunization strategies can also be designed based on our results, to hold back the trend of epidemic outbreak.

Modal Analysis of Brick Walls Reinforced with Concrete Wall

2011 ◽  
Vol 368-373 ◽  
pp. 2437-2441
Author(s):  
Ming Ru Zhou ◽  
Qiang Wang ◽  
Jun Pu Li ◽  
Shi Gang Guo
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Theoretical Analysis ◽  
Modal Analysis ◽  
Dynamic Characteristics ◽  
Masonry Wall ◽  
Ansys Software ◽  
Concrete Wall ◽  
Element Analysis ◽  
Analysis Methods

Based on finite-element analysis and some other theoretical analysis methods, the modal analysis of one pin masonry wall reinforced with the concrete wall have been researched with comparison, the results of two methods are well matched. The results showed that the modal analysis of brick walls reinforced with concrete wall could be analyzed with ANSYS software while the appropriate modle was chosen. Reference can be provided for the study of dynamic characteristics of the structure.

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