Model Passengers’ Travel Time for Conventional Bus Stop by Guangzhao Xin, Wei Wang

“…This paper proposed a mathematical model for analyzing passengers’ travel time at conventional bus stop based on theory of stochastic service system. …”
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Effectiveness of iNTS vaccination in sub-Saharan Africa by Daniele Cassese, Nicola Dimitri, Gianluca Breghi, Tiziana Spadafina

“…We developed a mathematical model to evaluate the impact of a vaccine for iNTS in 49 countries of sub-Saharan Africa. …”
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Pricing of American Carbon Emission Derivatives and Numerical Method under the Mixed Fractional Brownian Motion by Yuling Wang, Jing Wang

“…In conclusion, since mfBm is a well-developed mathematical model of strongly correlated stochastic processes, this model will be an efficient model for pricing carbon financial derivative.…”
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Analytical solution for the problem of pure bending of orthotropic micropolar plate by Damjan Jurković, Gordan Jelenić, Sara Grbčić Erdelj

“…Here we consider an orthotropic form of such a problem, whereby two Young’s moduli, four Poison’s ratios and one characteristic length for bending are found to be sufficient to propose a mathematical model of this problem. General equations of the isotropic micropolar continuum are introduced, and the analytical solution for the pure bending of an isotropic micropolar plate is generalized to the case of orthotropic microstructure. …”
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Prediction model of gear tooth flank fracture considering interfacial friction by ZHI YanFeng, WANG XiaoPeng, CAO ZhiGang, GUAN HongJie, YU FeiPeng, FAN RuiLi, LI HaiXia, WAN ShaoXiong

“…Based on the contact theory and elastic mechanics, a mathematical model for calculating the internal field stress of gear teeth with interfacial friction and the stress intensity with hardness gradient was established, and the risk prediction of gear tooth flank fracture was carried out. …”
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MECHANICAL ANALYSIS OF THE DRILL BIT IN THE DUAL CASING SIDETRACKING by KONG ChunYan, LIANG Zheng, ZHANG DeRong

“…Considered the situation of that the sidetracking bit in actual contact with the oil casing wall,cement ring,technical casing wall and rock formations,established the bending moment mathematical model of the dual casing sidetracking drill bit,and combined with examples using MATLAB software solved the relationship between the drill bit bending moment and the drill bit horizontal moving distance under that Three different working conditions was given. …”
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Experimental determination of limiting range of vision for underwater laser system by A. S. Golosnoy

“…The calculations and field tests carried out on the basis of the developed mathematical model in real conditions showed the correspondence of theoretical and experimental results.…”
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Analysis of the structural integrity of a frozen wall during a mine shaft excavation using temperature monitoring data by Lev Levin, Mikhail Semin, Ivan Golovatyi

“…The data on temperature measurements in control-thermal boreholes were used to parameterize the mathematical model of heat transfer, which allowed for the reconstruction of the temperature field throughout the entire cooled and frozen soil volume. …”
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The Effect of Continuous and Pulse Input Nutrient on a Lake Model by Yongfeng Li, Dongliang Xie, Jing-An Cui

“…In an aquatic environment, a mathematical model consisting of nutrient, phytoplankton, and zooplankton has been considered, where excretion of zooplankton is considered as one of the sources of nutrient. …”
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A Fractional-Order Model for HIV Dynamics in a Two-Sex Population by Fatmawati, Endrik Mifta Shaiful, Mohammad Imam Utoyo

“…AIDS is the rapidly spreading and becoming epidemic diseases in the world of almost complete influence across the country. A mathematical model approach of HIV/AIDS dynamic is needed to predict the spread of the diseases in the future. …”
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Gust Mitigation of Micro Air Vehicles Using Passive Articulated Wings by Adetunji Oduyela, Nathan Slegers

“…Experimental validation of the proposed mathematical model was accomplished using flight test data of an articulated micro air vehicle obtained from a high resolution indoor tracking facility. …”
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CFD Simulation of Multi-phase Flow Inside the Hydro-viscous Speed Regulating Clutch by Guo Guangchao, Xing Zuohui

“…Based on the computational fluid dynamics theory,the mathematical model of the fluid domain inside the hydro-viscous speed regulating clutch is established,and the multi-phase flow field in the radial groove friction pair is solved numerically by the CFD software. …”
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Accurate Modeling and Application of Time-varying Mesh Stiffness of Spur Gear Pair based on Geometry and Potential Energy Method by Wang Xiaopeng, Liu Shijun Li Jiqiang

“…The meshing limit boundary conditions of standard involute profile is analyzed in real-time and effectively，and a computational analysis model of TVMS from physical model to mathematical model is constructed which combined with the potential energy method. …”
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Rich Dynamics of a Predator-Prey System with Different Kinds of Functional Responses by Kankan Sarkar, Subhas Khajanchi, Prakash Chandra Mali, Juan J. Nieto

“…In this study, we investigate a mathematical model that describes the interactive dynamics of a predator-prey system with different kinds of response function. …”
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Modeling Peer-to-Peer Botnet on Scale-Free Network by Liping Feng, Hongbin Wang, Qi Han, Qingshan Zhao, Lipeng Song

“…To prevent effectively P2P botnet, in this paper, a mathematical model which combines the scale-free trait of Internet with the formation of P2P botnet is presented. …”
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Tooth Profile Modification Method of RV Reducer Cycloid Gear Aiming at Optimizing Carrying Capacity by Zongwen An, Panlong Jia, Qiang Wang, Zhili Li, Mingyuan Lei

“…Based on the RV-60E reducer as an optimization example，the mechanical analysis of the cycloid needle wheel transmission part is carried out first，and the mathematical model of the cycloid wheel shape is established with the goal of reducing the maximum bearing capacity of the needle teeth. …”
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Research on Meshing Efficiency of Gear Pairs Based on Dynamic Sliding Friction Factors by Fu Jingbo, Qiao Mingming, Guo Zhili, Chen Jiangyi

“…In order to study the meshing efficiency of the gear pair under the actual working conditions, the force and kinematics of the contact surface of the gear pair are analyzed, the lubrication state of the gear pair is judged by combining the theory of elastohydrodynamic lubrication, and the relationship between the elastohydrodynamic lubrication and the mixed lubrication state is established. The mathematical model of the dynamic friction factor is used to obtain the friction factor of the gear pair at different meshing positions along the meshing line. …”
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Role of Delay on Planktonic Ecosystem in the Presence of a Toxic Producing Phytoplankton by Swati Khare, O. P. Misra, Chhatrapal Singh, Joydip Dhar

“…A mathematical model is proposed to study the role of distributed delay on plankton ecosystem in the presence of a toxic producing phytoplankton. …”
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A Data-Based Approach for Modeling and Analysis of Vehicle Collision by LPV-ARMAX Models by Qiugang Lu, Hamid Reza Karimi, Kjell Gunnar Robbersmyr

“…Therefore, the establishment of a mathematical model of vehicle crash which can simplify the analysis process is significantly attractive. …”
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Influence of Microscopic Particle Flow on Thermal Elastohydrodynamic Lubrication of Spur Gear by Huang Xingbao, Wang Youqiang, Liu Qian, Dong Ning

“…The powder particles flow lubrication mathematical model is established. The thermal elastohydrodynamic lubrication of spur gears are investigated with considering quantitative influence of particles flow on oil rheological viscosity and density,reckoning in time-varying effect and thermal effect. …”
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