Analyzing HIV/AIDS dynamics with a novel Caputo-Fabrizio fractional order model and optimal control measures. by Azhar Iqbal Kashif Butt, Muhammad Imran, Komal Azeem, Tariq Ismaeel, Brett Allen McKinney

“…In this manuscript, we present a novel mathematical model for understanding the dynamics of HIV/AIDS and analyzing optimal control strategies. …”
Get full text

Research on Arc Extinguishing Characteristics of Single-Phase Grounding Fault in Distribution Network by Yan Li, Jianyuan Xu, Peng Wang, Guanhua Li

“…The three-dimensional single-phase grounding arc mathematical model effectively describes the dynamic development process of the grounding arc. …”
Get full text

Dynamic Automated Search of Shunting Routes within Mesoscopic Rail-Traffic Simulators by Antonin Kavička, Pavel Krýže

“…Applications of the algorithms and of the mathematical model of the track layout are demonstrated on a model track infrastructure.…”
Get full text

A Data Mining-Based Model for Evaluating Tennis Players’ Training Movements by Hang Chen

“…This paper uses data mining technology to mathematically model the training movements of tennis players, establish a three-dimensional data information database of athletes utilizing depth imaging, analyze the data with data mining algorithms, and derive the results after comparative evaluation and analysis with a database of movement characteristics of tennis dribblers. …”
Get full text

Experimental Validation of Numerical Model for Bi-Tilt-Isolator by Ming-Hsiang Shih, Wen-Pei Sung, Chia-Yu Ho

“…Sliding force, friction force, and impulse force are caused in the slanting process of BTI, nonlinear behavior. A nonlinear mathematical model is derived based on the sliding upwards, sliding downwards, and transition stages. …”
Get full text

Long-term consequences of the Chornobyl disaster for aquatic ecosystems: A retrospective analysis and prognosis by R. Makhinko

“…The methodology included retrospective data analysis, field research, laboratory experiments, and mathematical modelling. The retrospective analysis covered historical data from 1986; field studies included sampling of water, sediments, and biota; laboratory experiments focused on studying the effects of radiation on aquatic organisms; mathematical modelling allowed predicting long-term trends. …”
Get full text

Modeling automatic horizontation system of steep-sloping mobile machine with hydraulic sensor roll by V. I. Grishchenko, A. A. Tumakov, M. S. Poleshkin, M. S. Kilina, D. D. Dymochkin

“…A generalized mathematical model of the leveling system with a submodel of the control roll sensor has been developed. …”
Get full text

Numerical Analysis of the Characteristics of the Heat Treatment Process of Multilayer Composite Products in Heat Technology Installations by V. N. Romaniuk, A. M. Niyakovskii, A. N. Chichko, Yu. V. Yatskevich, Т. N. Ryzhova

“…A detailed description of the mathematical model was presented in the previous works. …”
Get full text

ESTABLISHED MODES AND STATIC CHARACTERISTICS OF THREE-PHASE ASYNCHRONOUS MOTOR POWERED WITH SINGLE PHASE NETWORK by V. S. Malyar, V. V. Malyar

“…A mathematical model is developed to study the operation of three-phase asynchronous motor with squirrel-cage rotor when the stator winding is powered from a single phase network. …”
Get full text

Two-parameter Envelope Calculation for the Profile of Worm Grinding Wheel and Dressing Method by Shuai Wang, Bin Li, Jianjun Yang, Laigui Lei, Jinwei Zhao, Jianxin Su

“…A mathematical model for tooth profile curve of cylinder gear with high-order modification gear surface is established. …”
Get full text

Calculation and Simulation Processing of Tooth Surface of Negative Pressure Angle Spiral Clutch by Xu Zengjun Deng Jing Jiang Chuang Nie Shaowu

“…The method of machining negative pressure angle spiral clutches with disc milling cutter and gear milling machine is studied. The mathematical model is established according to the characteristics of spiral clutches firstly, and the coordinate transformation relationship from the cutting tool system to workpiece system, the tooth surface points and mismatch quantity are calculated after selecting the appropriate initial value of the surface coordinates. …”
Get full text

Study of characteristics of vortex tube by V. I. Kuznetsov, V. V. Makarov, A. S. Gritsay

“…Based on the previously compiled physical and mathematical model of the vortex tube workflow, the calculation of the thermogasodynamic characteristics of the vortex tube with known geometric dimensions and their comparison with experimental data was carried out. …”
Get full text

Analytical Study of Nonlinear Fractional-Order Integrodifferential Equation: Revisit Volterra's Population Model by Najeeb Alam Khan, Amir Mahmood, Nadeem Alam Khan, Asmat Ara

“…Padé approximation was effectively used in this method to capture the essential behavior of solutions for the mathematical model of accumulated effect of toxins on a population living in a closed system. …”
Get full text

Bifurcating Solutions to the Monodomain Model Equipped with FitzHugh-Nagumo Kinetics by Robert Artebrant

“…This reaction-diffusion system plays an important role in the field of electrocardiology as a tractable mathematical model of the electrical activity in the human heart. …”
Get full text

Optimum Design of Cylindrical Worm Drive by Wang Yuandong

“…Taking a cylindrical worm drive mechanism as the research object,the minimizing the volume of worm gear as objective function,the limit of the worm gear tooth surface contact strength,worm stiffness,number of worm threads,worm gear module and worm diameter coefficient as constraint conditions,the mathematical model of optimization design is established. …”
Get full text

Application of a naive Bayesians classifiers in assessing the supplier by Mijailović Snežana, Ilić Đorđe

“…The paper considers the class of interactive knowledge based systems whose main purpose of making proposals and assisting customers in making decisions. The mathematical model provides a set of examples of learning about the delivered series of outflows from three suppliers, as well as an analysis of an illustrative example for assessing the supplier using a naive Bayesian classifier. …”
Get full text

A Numerical Comparison for a Discrete HIV Infection of CD4+ T-Cell Model Derived from Nonstandard Numerical Scheme by Mevlüde Yakıt Ongun, İlkem Turhan

“…A nonstandard numerical scheme has been constructed and analyzed for a mathematical model that describes HIV infection of CD4+ T cells. …”
Get full text

Optimal Design for the Lifting Gearbox of Self-elevating Offshore Platform by Zhang Qing, Li Ran, Zhang Xiaojie, Zhao Qianying, Qin Xianrong, Sun Yuantao

“…The lifting gearbox which is used on self-elevating offshore platform is selected as optimized object,its features and workings are introduced,and its reliability and mass are selected as optimization objectives,and the mathematical model is established for the optimization.A kind of coordinate its reliability and economy is proposed.By giving different values to the weighing factors to obtain different optimal solutions and fit a curve of them,the reliability and economy of the gearbox can be determined and coordinated.It is verified to be an effective method to acquire a higher cost-performance ratio of the gearbox,which may provide guidance for other similar engineering problems.…”
Get full text

Impulsive State Feedback Control of Cheese Whey Fermentation for Single-Cell Protein Production by Chunjin Wei, Shuwen Zhang, Lansun Chen

“…The work is the analysis of a mathematical model of cheese whey fermentation for single-cell protein production with impulsive state feedback control. …”
Get full text

Dynamics and Stability Analysis of a Brucellosis Model with Two Discrete Delays by Paride O. Lolika, Steady Mushayabasa

“…We present a mathematical model for brucellosis transmission that incorporates two discrete delays and culling of infected animals displaying signs of brucellosis infection. …”
Get full text