Development of Spherical Actuator with L-Shaped Yoke by Yu-Wen Huang, Hao-Wen Chung, Yu-Ming Chen, Chien-Sheng Liu, Ming-Fu Chen

“…In the design process, SOLIDWORKS 2018 software is used for design modeling and assembly simulation, ANSYS Maxwell 2018 software is employed for magnetic circuit analysis and electromagnetic simulation, while MATLAB is utilized for analyzing the dynamic characteristics through a mathematical model. A prototype was also fabricated, and torque measurement experiments were conducted to verify the performance and feasibility of the proposed design.…”
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Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination by A. Abdelkhalek, A.H. Abdel Kader, I.L. El-Kalla, A. Elsaid, Amr Elsonbaty, K.S. Nisar

“…Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. …”
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THE PREDICTION OF ENTERPRISES ACTIVITY INDICATORS TAKING INTO ACCOUNT THE INITIAL DATA UNCERTAINTY by Yu. Gagarin, S. Gagarina

“…To obtain point and interval estimates of the parameters of mathematical models that take into account errors in the values of the function and argument, the use methods of confluent analysis has been proposed. …”
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Optimization of Asynchronous Electric Generator Parameters in System Wind Power Installations by Yu. V. Makosko

“…The paper considers a wind power installation with asynchronous electric generator which is integrated in large power system. Mathematical model describing a wind motor, an asynchronous generator, step-up transformers, cable and open-air electric power lines has been used to obtain linear polynomials. …”
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Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions by Christopher M. Kribs-Zaleta

“…Mathematical models are well-established as metaphors for biological and epidemiological systems. …”
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Pedestrian Guiding Signs Optimization for Airport Terminal by Jianxin Lin, Rui Song, Jifeng Dai, Pengpeng Jiao

“…In this paper, we aim to optimize the guiding signs for people in the comprehensive transportation terminal with a mathematical model, which describes the pedestrian's reaction, judgment, and perception of the outline about the guiding signs, as well as pedestrian's moving status through self-organized characteristic behavior. …”
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Dynamical properties and tumor clearance conditions for a nine-dimensional model of bladder cancer immunotherapy by K. E. Starkov, Svetlana Bunimovich-Mendrazitsky

“…Understanding the global interaction dynamics between tumor and the immunesystem plays a key role in the advancement of cancer therapy.Bunimovich-Mendrazitsky et al. (2015) developed a mathematical model for thestudy of the immune system response to combined therapy for bladder cancerwith Bacillus Calmette-Guérin (BCG) and interleukin-2 (IL-2) . …”
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Controlling a model for bone marrow dynamics in cancer chemotherapy by Urszula Ledzewicz, Heinz Schättler

“…This paper analyzes a mathematical model for the growth of bonemarrow cells under cell-cycle-specic cancer chemotherapy originally proposedby Fister and Panetta [8]. …”
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Medical Management of Chronic Cholestatic Liver Diseases by Andrea A Gossard, Keith D Lindor

“…The prognosis of patients with these diseases is discussed, and the Mayo Mathematical Models in Cholestatic Liver Disease for both primary biliary cirrhosis and primary sclerosing cholangitis are provided. …”
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A Quasi-Steady State Model of a Singularly Perturbed Wind Turbine with an Induction Generator and Nonlinear Frictions: A Bond Graph Approach by Aaron Padilla-Garcia, Gilberto Gonzalez-Avalos, Noe Barrera-Gallegos, Gerardo Ayala-Jaimes

“…In order to obtain the mathematical model of the singularly perturbed nonlinear systems, a lemma based on the junction structure of the bond graph with a preferred integral causality assignment is proposed. …”
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Optimal Control for a Parallel Hybrid Hydraulic Excavator Using Particle Swarm Optimization by Dong-yun Wang, Chen Guan

“…Optimal control using particle swarm optimization (PSO) is put forward in a parallel hybrid hydraulic excavator (PHHE). A power-train mathematical model of PHHE is illustrated along with the analysis of components’ parameters. …”
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Analytical method for calculating losses in overhead lines of electric power systems taking into account changes in load and weather conditions by E. V. Petrova

“…The peculiarity of the approach is universality, which is expressed in the fact that the developed mathematical model allows us to consider non-insulated and insulated wires on power transmission lines from a single position. …”
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The effect of room temperature pre-ageing on tensile and electrical properties of thermomechanically treated Al-Mg-Si alloy by Martinova Z., Damgaliev D., Hirsh M.

“…The experimental data were proceeded statistically and mathematical models were derived for the alloy properties such as tensile strength, electrical conductivity and elongation of the wires during TMT. …”
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Evaluation of Sustainability of Brazilian Ethanol Production: A model in System Dynamics by Arnoldo Jose de Hoyos Guevara, Orlando Roque da Silva, Haroldo Lhou Hasegawa, Délvio Venanzi

“…The concepts inherent in this approach assists in creating a mathematical model that represents a production chain by using computer simulation. …”
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Nonlinear Dynamical Analysis of Hydraulic Turbine Governing Systems with Nonelastic Water Hammer Effect by Junyi Li, Qijuan Chen

“…A nonlinear mathematical model for hydroturbine governing system (HTGS) has been proposed. …”
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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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Optimal Design of Fault-Tolerant Controller for an Electric Power Steering System with Sensor Failures Using Genetic Algorithm by Xue Liu, Hui Pang, Yuting Shang, Wen Wu

“…This paper focuses on the fault-tolerant control (FTC) problem for an electric power steering (EPS) system subjected to stochastic sensor failures, and a novel fault-tolerant controller is proposed based on the genetic algorithm (GA). A mathematical model of the EPS system with sensor failures is first established, and the state feedback control law is solved by using linear quadratic regulator techniques to stabilize the closed-loop control system. …”
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Simplified Modeling and Simulation of Electricity Production from a Dish/Stirling System by Mahamat Hassane Babikir, Venant Sorel Chara-Dackou, Donatien Njomo, Mahamat Barka, Mahamoud Youssouf Khayal, Daniel Roméo Kamta Legue, Jean Paul Gram-Shou

“…In this paper, we present a theoretical study of the performances of the Dish/Stirling system with the purpose of producing electricity, based on a mathematical model taking into account each of the subparts of the system (concentrator, solar cavity receiver, and Stirling engine). …”
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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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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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