Deep Learning Model for Predicting Spreading Rates of Pandemics, “COVID-19 as Case Study” by Maha A. Al-Bayati

“…This work is based on the application of an advanced mathematical model to examine and predict the increase in a pandemic. …”
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On Solitary Wave Solutions for the Camassa-Holm and the Rosenau-RLW-Kawahara Equations with the Dual-Power Law Nonlinearities by Nattakorn Sukantamala, Supawan Nanta

“…The nonlinear wave equation is a significant concern to describe wave behavior and structures. Various mathematical models related to the wave phenomenon have been introduced and extensively being studied due to the complexity of wave behaviors. …”
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Study on the Friction Torque Calculation and Experimentation of Cycloid Ball Planetary Transmission by Zhu Jiangtao

“…Based on the kinematics of cycloid steel ball planetary transmission,the contact state between the meshing pair and the speed reducer is determined. The mathematical model of the friction torque of the gear pair and the constant velocity pair is established. …”
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The Neimark–Sacker Bifurcation and Global Stability of Perturbation of Sigmoid Beverton–Holt Difference Equation by M. R. S. Kulenović, Connor O’Loughlin, E. Pilav

“…This difference equation is one of the perturbations of the sigmoid Beverton–Holt difference equation, which is a major mathematical model in population dynamics. We will show that this difference equation exhibits transcritical and Neimark–Sacker bifurcations but not flip (period-doubling) bifurcation since this difference equation cannot have period-two solutions. …”
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Application of Improved Graph Theory in Planning of River and Lake System Connection by JIANG Yu, ZHANG Qionghai, YAN Meng

“…This paper first analyzes the river system characteristics,hydrodynamic conditions,and status quo of water environment in the tidal river network area.On this basis,a preliminary connection scheme is then drawn up by the concept of connectivity in the graph theory based on “flow resistance” and the connectivity diagnosis and optimization method of river systems based on the “shortest path” idea.The scheme is further refined by a one-dimensional hydrodynamic mathematical water quality model.The results reveal that the scheme of minimum resistance connection by the graph theory is the optimal scheme of structural connectivity,and the problem of connection failure caused by the sluice control mode is solved after the scheme is refined by the mathematical model.This method can quickly diagnose the structural connectivity of river and lake systems,enrich the diagnostic means of river and lake connectivity,and provide a reference for the planning of river system connectivity in the tidal river network area of the Pearl River Delta.…”
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Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting by Dahlia Khaled Bahlool, Huda Abdul Satar, Hiba Abdullah Ibrahim

“…In this paper, a mathematical model consisting of a prey-predator system incorporating infectious disease in the prey has been proposed and analyzed. …”
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TRANSMISSION ACCURACY OF SYNCHRONOUS BELT BASED ON RECURDYN by GUO JianHua, MENG QingXin, YU Xin, HU QingMing

“…Using the mechanism of the tooth climbing of the belt,the mathematical model of the transmission error is established,reveals the transmission error of the synchronous belt is a function of the pulley pitch angle.Establish the virtual prototype dynamic transmission simulation model of synchronous belt based on Recur Dyn,through collect data and numerical analysis that mesh point with climbing tooth trace-Archimedes spiral,simulation results are consistent with the experimental results,to verify the accuracy of the simulation analysis.And compare the transmission accuracy of the new profile and L type trapezoidal tooth synchronous belt.The results showed that the transmission error of the new profile synchronous belt（Δθ =0.932mrad） less than L type trapezoidal toothed（Δθ = 1.615mrad）,shows that the capacity anti climbing tooth of the new profile synchronous belt is stronger than L type trapezoidal tooth,the tooth design of new profile synchronous belt is more reasonable.…”
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Event Forecasting in Organizational Networks: A Discrete Dynamical System Approach by Piotr Śliwa

“…Therefore, the objective of this study was (1) to fill the theoretical gap by proposing a mathematical model for organizational network event forecasting, rooted in the social science to remain consistent with the theory, and (2) to experimentally evaluate how the model performs on real data and validate if the results support its use in practical applications. …”
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TRANSIENT MOTION SIMULATION AND STRESS ANALYSIS OF RECIPROCATING COMPRESSOR VALVE by WANG Yao, ZHANG JinJie, LIU JinNan, YAO ZiYun, JIANG ZhiNong

“…Reciprocating compressor has many moving and damageable parts in which valve is the most frequently damaged component. A mathematical model of the valve movement was established according to its structure and motion characteristics.MATLAB and ANSYS software were used to study the transient motion law and the dynamic stress distribution of mesh valve.Then the impact of spring stiffness and transition arc on valve’s stress distribution was discussed. …”
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OPTIMIZATION DESIGN OF UNIVERSAL COUPLING FORK BASED ON PARTICLE SWARM ALGORITHM by TANG Shu, LIU Yuan, YU XiangDong, SHI GuanLin

“…In comprehensive consideration of manufacture, structure and assembly of the original fork, the fork was simplified and a mathematical model of the fork was established. A new method based on particle swarm optimization algorithm was put forward for size optimization of the fork,then an Abaqus script written by Python was used to complete parametric modeling and analysis of the fork. …”
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Design and Driving Characteristics of Rehabilitation Robot Flexible Joints Based on Polyvinylidene Fluoride by Xie Guanghui, Sun Hong, Sun Fanwei, Wang Guangjian

“…Based on the three-level artificial muscle for the flexible joint of the rehabilitation robot, the driving mathematical model is identified, and simulation and experiment are implemented. …”
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MOTOR TOLERANCE OPTIMIZATION DESIGN BASED ON IMPROVED GENETIC ALGORITHM by ZHANG YongLiang, CHEN Xu, YAO JiaSheng, ZHANG ShuaiShuai

“…A multi-objective and multi-constrained mathematical model for radial tolerance optimization of a motor assembly was established with processing cost and mass loss cost as objective functions,tolerance values of key components as design variables,and assembly functions and economic processing capabilities as constraints. …”
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Morphogenesis and aggressiveness of cervix carcinoma by Elena Izquierdo-Kulich, Margarita Amigó de Quesada, Carlos Manuel Pérez-Amor, José Manuel Nieto-Villar

“…A mathematical model was obtained to describe the relation between the tissue morphology of cervix carcinoma and both dynamic processes of mitosis and apoptosis, and an expression to quantify the tumor aggressiveness, which in this context is associated with the tumor growth rate. …”
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3D Modeling Method and Strength Analysis of ZC₁ Worm by Jin Xiaoma, Ji Weixi

“…Based on the activity price method and the space engagement theory,the forming process of the ZC. 1 grinding wheel and the mathematical model of the worm pair are researched. Based on the numerical analysis method and finite element method,the 3D solid model of worm pair is completed by Solid Works and MATLAB,and the finite element model is established in ANSYS. …”
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Optimization Design of Part Tolerance of RV Reducer based on Genetic Algorithm by Xie Xiongwei, Xu Honghai, Guan Tong

“…The backlash is one of the important technical indicators of the RV reducer， and there are many design parameters that affect the backlash. Based on the mathematical model between the part processing feature tolerance and cost， the minimum part processing cost is taken as the target， the allowable backlash(≤1′) and the assembly dimension chain are used as the constraints， and the genetic algorithm is used to optimize the key dimensional tolerances of the RV reducer cycloidal gear， pinwheel， crankshaft and other parts. …”
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Digital model of a pseudo-random number generator based on a continuous chaotic system by Y. A. Drybin, S. V. Sadau, V. S. Sadau

“…On the example of the Lorentz system, the analysis of the law of motion of a chaotic system, linearized in the vicinity of points of stable and unstable equilibrium, is carried out, on the basis of which the parameters of the mathematical model of the generator of pseudo-random numbers are selected. …”
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Design and Research of the Three-posture Adjustable Multi-functional Integrated Wheelchair Bed by Li Yanan, Zhou Xiaochen, Zhang Baoxu, Xu Guoxin, Tan Cao, Zhao Yanjun

“…The device includes a bed chair conversion mechanism, an auxiliary standing mechanism and a bed body lifting mechanism. The kinematic mathematical model of each mechanism was established, and the kinematic simulation was carried out based on the Matlab software. …”
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Optimum Design of Multidischarge Outlet Biomass Briquetting Machine by Jiaqi Yang, Jirong Wang, Jun Li, Lianwen Shi, Xiangwu Dai

“…To further improve efficiency and rationally allocate power at each stage, in this paper, we established a mathematical model for the machine. We use the nonlinear programming in Matlab (2016b) to solve the minimum value of the model, making the machine work time the shortest.…”
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Multi-objective Optimization Design of RV Reducer Considering the Cycloid Gear Profile Modification by Wang Quan, Zeng Lilei, Qin Zhengzheng

“…In view of the fact that the influence of cycloid gear profile modification on contact force is not taken into account in the structural design of RV reducer，a multi-objective optimization design method for the structure of RV reducer considering cycloid gear profile modification is proposed.Combining the theory of tooth profile modification with the calculation of contact stress of cycloidal gear，considering the factors of volume，efficiency and contact stress，an optimization mathematical model with small volume，high efficiency and low contact stress of cycloidal gear as multi-objective function is established.The solution is carried out by using NSGA-II algorithm，and compared with single-objective optimization method.The results show that compared with the original design，the volume of RV reducer decreases by 21.24%，the efficiency increases by 2.03%，and the contact stress of cycloid wheel decreases by 20.26%.Meanwhile，the multi-objective optimization method has higher comprehensive performance than the single-objective optimization method.…”
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RESEARCH ON CONTACT DAMPING CHARACTERISTICS OF JOINT SURFACE OF MICRO TEXTURED SURFACE by ZHU ChunXia, LIU Lei, ZHAO Yuan, WANG Ning

“…The damping source of the joint surface is analyzed, and the mathematical model of the damping of a single micro convex body on the joint surface is established. …”
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