A frictionless contact problem for viscoelastic materials by Mikäel Barboteu, Weimin Han, Mircea Sofonea

“…We consider a mathematical model which describes the contact between a deformable body and an obstacle, the so-called foundation. …”
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IMPACT OF CHEMICAL REACTION ON MHD BOUNDARY LAYER FLOW OF NANOFLUIDS OVER A NONLINEAR STRETCHING SHEET WITH THERMAL RADIATION HAAR WAVELET COLLOCATION METHOD by MAHESH KUMAR N, Vishwanath B Awati, Akash Goravar

“…The nanofluid physical model of the problem comprises with effects of thermophoresis, radiation and chemical reaction parameters. The mathematical model scrutinizes mass, momentum, heat transfer and concentration equations are reduced to couple nonlinear ordinary differential equations over infinite domain using proper similarity variables. …”
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Optimal Design of Single-stage Double-arc Spiral Bevel Gear Nutation Reducer by Zheng Lin, Ligang Yao, Tongke Su, Zheng Sun

“…With the minimum volume of the nutation reducer as the objective function，an optimization mathematical model is established with 4 design variables and 12 optimization constraints，and the relevant parameters of the single-stage nutation bevel gear are obtained. …”
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On viable therapy strategy for a mathematical spatial cancer model describing the dynamics of malignant and healthy cells by Alexander S. Bratus, Svetlana Yu. Kovalenko, Elena Fimmel

“…It is assumed that the drug influences negative malignant cells as well as healthy ones. The mathematical model considered consists of three nonlinear parabolic partial differential equations which describe spatial dynamics of malignant cells as well as healthy ones, and of the concentration of the drug. …”
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A structured model for the spread of Mycobacterium marinum: Foundations for a numerical approximation scheme by Azmy S. Ackleh, Mark L. Delcambre, Karyn L. Sutton, Don G. Ennis

“…We develop a finite difference scheme to approximate the solution of a novel size-structured mathematical model of the transmission dynamics of Mycobacterium marinum (Mm) in an aquatic environment. …”
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Fixed-Time Sliding Mode Control for Robotic Manipulators Based on Disturbance Observer by Tianli Li, Gang Zhang, Tan Zhang, Jing Pan

“…A novel controller using fixed-time sliding mode (FTSM) and fixed-time disturbance observer (FTDO) is proposed to achieve trajectory tracking control of robotic manipulators. First, the mathematical model is established for robots with dynamic model uncertainties and external disturbances. …”
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On the decay of strength in Guilin red clay with cracks by Yi Li, Keneng Zhang, Baochen Liu, Zongyuan Pan

“…In order to research the effect of cracks in red clay on shear strength through dry-wet cycle test, the experimenters used imaging software and a mathematical model to determine fractal dimension and crack ratio of surface cracks in red clay in Guilin, China. …”
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The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid by S. M. Khaled, Abdelhalim Ebaid, Fahd Al Mutairi

“…The problem of the peristaltic flow of a nanofluid under the effect of an endoscope is reinvestigated. The mathematical model is governed by a system of linear and nonlinear partial differential equations with prescribed boundary conditions. …”
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Dynamical analysis for a hepatitis B transmission model with immigration and infection age by Suxia Zhang, Hongbin Guo, Robert Smith?

“…We investigate the effect of immigration and infection age on HBV transmission dynamics, incorporating age-dependent immigration flow and vertical transmission. The mathematical model can be used to describe HBV transmission in highly endemic regions with vertical transmission and migration of infected HBV individuals. …”
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Optimum Design Research on the Link Mechanism of the JP72 Lifting Jet Fire Truck Boom System by Guo Tong, Wang Jiawen, Liang Yingnan, Peng Buyu, Liu Tao, Liu Yiqun

“…The finite element analysis method was used to establish a mathematical model, and the optimization goal was to minimize the sum of the forces on the hydraulic cylinder, which was transformed into a mathematical programming problem. …”
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Modelling In Vivo HIV Dynamics under Combined Antiretroviral Treatment by B. Mobisa, G. O. Lawi, J. K. Nthiiri

“…In this paper a within host mathematical model for Human Immunodeficiency Virus (HIV) transmission incorporating treatment is formulated. …”
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Research of the Visual Measurement Method of Gear Tooth Profile Total Deviation by Wang Ning, Duan Zhenyun, Zhao Wenhui, Du Po, Duan Boqiang

“…Finally,on the basis of establishing mathematical model to realize tooth profile total deviation measurement. …”
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Interstitial Pressure And Fluid Motion In Tumor Cords by Alessandro Bertuzzi, Antonio Fasano, Alberto Gandolfi, Carmela Sinisgalli

“…This work illustrates the behavior of the interstitial pressure andof the interstitial fluid motion in tumor cords (cylindrical arrangements oftumor cells growing around blood vessels of the tumor) by means of numericalsimulations on the basis of a mathematical model previously developed. Themodel describes the steady state of a tumor cord surrounded by necrosis and itstime evolution following cell killing. …”
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Kin Competition Drives the Evolution of Earlier Metamorphosis by Bing Dong, Andy Gardner

“…Here we develop a mathematical model to investigate how kin selection shapes the optimal timing of metamorphosis from foraging, non‐reproductive larva to reproductive adult, when larvae tend to cluster with their genetic relatives. …”
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Dynamic Multidrug Therapies for HIV: Optimal and STI Control Approaches by B. M. Adams, H. T. Banks, Hee-Dae Kwon, Hien T. Tran

“…We formulate a dynamic mathematical model that describes theinteraction of the immune system with the human immunodeficiencyvirus (HIV) and that permits drug ''cocktail'' therapies. …”
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Theoretical Vibration Analysis on 600 Wh Energy Storage Flywheel Rotor—Active Magnetic Bearing System by Jing-na Liu, Zheng-yi Ren, Shan-wei Wu, Yin-long Tang

“…Combined with 600 Wh energy storage flywheel rotor system mathematical model, the Campbell diagram of the rotor system was obtained by the calculation of the whirl frequency under different parameters of the controller in MATLAB to analyze the effect of the controller parameter on the whirl frequency and to limit the operating speed and acceleration or deceleration of the rotor. …”
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RESEARCH ON FLASH TEMPERATURE OF CONSTANTLY NO CLEARANCE PRECISION STEEL BALL EQUAL-SPEED TRANSMISSION by XIA JingQi, AN ZiJun, JIANG Wei

“…On the basis of mechanism structure and the flash temperature theory, the instantaneous contact temperature-rise principle of constantly no clearance precision steel ball equal-speed transmission is studied and the formulas of the spin speed on each contact point, maximum contact stress, and frictional power are derived. Meantime, the mathematical model of instantaneous contact temperature risen of engagement pairs is established. …”
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Variable Volumetric Stiffness Fluid Mount Design by Nader Vahdati, Mehdi Ahmadian

“…In this paper, the new design concept, and its mathematical model and simulation results will be presented.…”
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Kinematics Analysis of Multi-dimensional Vibration Reduction Construction Vehicle Seat with 2-SPS + SR Suspension by Bijuan Yan, Jie Zhang, Huijun Liang, Zekun Liu

“…Finally， the simulation analysis is performed in Adams/view and programming simulation of mathematical model is performed in Matlab to verify the correctness of the established mathematical and theoretical analysis. …”
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Modelling of Spacecraft Dynamics at Deployment of Large Elastic Structure by V. S. Khoroshilov, A. E. Zakrzhevskii

“…The objective of the study is the creation of the generalized mathematical model and the conducting of the computational modelling of the spacecraft dynamics. …”
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