Vector Rayleigh Diffraction of High-Power Laser Diode Beam in Optical Communication by Qiang Xu, Renxian Li, Yuanyuan Zhang, Yiping Han, Zhensen Wu

“…Laser diodes (LDs) are widely used in optical wireless communication (OWC) and optical networks, and proper theoretical models are needed to precisely describe the complicated beam field of LDs. A novel mathematical model is proposed to describe the vectorial field of nonparaxial LD beams. …”
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Dynamic Evolution of the Zinc-Nickel Battery Industry and Evidence from China by Xiangze Shi, Xiao Li, Zijian He, Hui Jiang

“…This paper analyzes the development prospects of zinc-nickel battery industry, further investigates the industry competition in existing markets by mathematical modeling, calculates the equilibrium price and profit of the oligarch competition by using the method of Stackelberg equilibrium and Nash equilibrium, and makes a comparison between them. …”
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Comparison of the photoactivities of two commercial titanium dioxide powders in the degradation of 1,4-dioxane by M. Mehrvar, W. A. Anderson, M. Moo-Young

“…This was found both experimentally and also by mathematical modeling of the radiation within the photoreactor zone. …”
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Account of Mechanical Characteristics of Generalized Drive in Algorithm of Fast-Acting Self-Start of High-Voltage Synchronous Motors by V. V. Kourganau, U. V. Kryshneu, B. A. Vyaryga

“…Object of the investigation is control systems of high-voltage synchronous motors which are applied at industrial enterprises with continuous technological process.A mathematical model for the run-out of generalized assembly including a motor and a mechanism has been developed. …”
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Influence of wind disturbances and nonlinearities of servo drive on the contour of stabilization of the flight of height of unmanned aerial vehicle by V. A. Malkin, I. V. Rozhkov, A. A. San’ko

“…The article discusses a mathematical model of wind, taking into account its stochastic component and wind of a steady direction, presents the results of a comparative analysis of the effect of wind parameters on the total wind velocity vector acting on unmanned aerial vehicles (UAV). …”
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Optimization of spline parameters in approximation of multivalued functions by D. A. Karpov, V. I. Struchenkov

“…The spline parameters were optimized using a new mathematical model in the form of a modified Lagrange function and a special nonlinear programming algorithm. …”
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Modeling Concrete Compressive Strength Variation with Age Using Origin Pro Software. by Nabaweesi, Alice

“…This study aims to develop a mathematical model that accurately predicts the variation of concrete compressive strength with age. …”
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PROSPECTS FOR THE SECOND WAVE OF THE GLOBAL FINANCIAL AND ECONOVIC CRISIS by V. F. Artyushkin

“…Procedure of an economic and political situation current through the situation at the world oil marketforecasting is offered in the article. The compact mathematical model of cycling market fluctuations is the basis of thetechnique. …”
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Austenite grain growth calculation of 0.028% Nb steel by Priadi D., Napitupulu R.A.M., Siradj E.S.

“…In this research, we attempted to calculate a mathematical model for austenite grain growth of 0.028% Nb steel, which can account for abnormal grain growth. …”
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Modelling the Effects of Snail Control and Health Education in Clonorchiasis Infection in Foshan, China by Shujing Gao, Ruixia Yuan, Yujiang Liu, Xinzhu Meng

“…In this paper, a mathematical model of clonorchiasis sinensis is proposed to mimic its transmission dynamics to assess the effects of intervention strategies such as snail control, health education, and chemotherapy. …”
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On the frictionless unilateral contact of two viscoelastic bodies by M. Barboteu, T.-V. Hoarau-Mantel, M. Sofonea

“…We consider a mathematical model which describes the quasistatic contact between two deformable bodies. …”
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A hybrid model for traffic flow and crowd dynamics with random individual properties by Veronika Schleper

“…Based on an established mathematical model for the behavior of large crowds, a new model is derived that is able to take into account the statistical variation of individual maximum walking speeds. …”
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Decision Method of Bridge Deck Pavement Maintenance Based on the Decision Maker’s Objective by Xiaofei Liang, Jun Shi, Zhongmei Li

“…By the existing deterioration model, this paper studies the bridge operation safety maintenance strategy, establishes the mathematical model of the influence of different degrees of maintenance measures on the structural performance, combines with the cost-benefit theory, establishes the maintenance risk decision criteria for the decision makers with different objectives, and makes the decision on the selection of the bridge deck pavement scheme based on the enterprise position through an example.…”
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Partial Control of a Continuous Bioreactor: Application to an Anaerobic System for Heavy Metal Removal by M. I. Neria-González, P. A. López-Pérez, R. Aguilar-López

“…Furthermore, a nonlinear controllability analysis was done, which proved the closed-loop instability of the inner or uncontrolled dynamics of the bioreactor. A mathematical model, experimentally corroborated for cadmium removal, was employed as a benchmark for the proposed controller. …”
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Temperature analysis and comparison of active power losses in non-stationary and stationary thermal conditions of overhead power lines by V. M. Trotsenko

“…The practical value of the mathematical model considered in the article lies in determining the maximum temperatures of overhead lines of different sections in normal or post-emergency wire mode. …”
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Simulating the pre‐ and de‐emphasis of drive voltages of silicon‐based micro‐ring ring‐modulators by S. Tenenbaum

“…Here we present a mathematical model where shooting amplitude and duration are considered with an optimised power consumption analysis. …”
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Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics by Esam Y. Salah, Bhausaheb Sontakke, Mohammed S. Abdo, Wasfi Shatanawi, Kamaleldin Abodayeh, M. Daher Albalwi

“…The mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a conformable fractional derivative in the Liouville–Caputo sense. …”
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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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Low viral persistence of an immunological model by Suqi Ma

“…To analyze this phenomena quantitatively, a mathematical model which is described by DDEs with relative to cytotoxic T lymphocyte (CTL) response to Hepatitis B virus is used. …”
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Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System by Fengjiao Wu, Junling Ding, Zhengzhong Wang

“…The robust finite-time control for a Francis hydroturbine governing system is investigated in this paper. Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. …”
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