Impact of media coverage on the transmission dynamics of TB with vaccines and treatment. by Kumneger Tadesse Mulugeta, Mohammed Yiha Dawed, Shewafera Wondimagegnhu Teklu

“…The main objective of this study is to investigate the impact of media coverage on the transmission dynamics of TB with vaccine and treatment strategy using mathematical model analysis. In the qualitative analysis of the proposed model we proved the existence, uniqueness, positivity, and boundedness of the model solutions, investigated both the disease-free and endemic equilibrium points, computed the basic and effective reproduction numbers using next generation matrix approach, analyzed the stability analysis of the equilibrium points, the backward bifurcation using the Castillo-Chavez and Song theorem and we re-formulated the corresponding optimal control problem and analyzed by applying the Pontryagin's Minimum Principle. …”
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Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays by Ahmed A. Mahmoud, Sarat C. Dass, Mohana S. Muthuvalu, Vijanth S. Asirvadam

“…The computations have been carried out with help of mathematical software: MATLAB® 8.0 R2014b.…”
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A State Feedback Controller Based on GCC Algorithm against Wind-Induced Motion for High-Rise Buildings with Parametric Uncertainties by Zuohua Li, Chaojun Chen, Jun Teng, Junkai Dong, Beichun Lin

“…In view of the above uncertainties, based on a Lyapunov stability theory and linear matrix inequality (LMI) approach, a state feedback controller based on the guaranteed cost control (GCC) algorithm is proposed in this paper. …”
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Fuzzy Constrained Predictive Optimal Control of High Speed Train with Actuator Dynamics by Xi Wang, Yan Zhao, Tao Tang

“…The dynamics feature of the high speed train is modeled as a cascade of cars connected by flexible couplers, and the formulation is mathematically transformed into a Takagi-Sugeno (T-S) fuzzy model. …”
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Steepest-Ascent Revisited: Unconstrained Missile Trajectory by Elsayed M. Khalil, Hao Zhou, Wanchun Chen

“…A new form of the weighting matrix is proposed. A novel technique of relaxation factors for eliminating the terminal states violation is described. …”
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Singularity-Free Neural Control for the Exponential Trajectory Tracking in Multiple-Input Uncertain Systems with Unknown Deadzone Nonlinearities by J. Humberto Pérez-Cruz, José de Jesús Rubio, Rodrigo Encinas, Ricardo Balcazar

“…The unknown dynamics is identified by means of a continuous time recurrent neural network in which the control singularity is conveniently avoided by guaranteeing the invertibility of the coupling matrix. Given this neural network-based mathematical model of the uncertain system, a singularity-free feedback linearization control law is developed in order to compel the system state to follow a reference trajectory. …”
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Modeling and analysis of taeniasis and cysticercosis transmission dynamics in humans, pigs and cattle by Joshua, A. Mwasunda, Jacob I, Irunde, Damian, Kajunguri, Dmitry, Kuznetsov

“…To study the dynamics of the diseases, we derived the basic reproduction number R0 by next generation matrix method. When R0 < 1, the DFE is globally asymptotically stable whereas when R0 > 1 the EE is globally asymptotically stable. …”
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Properties of Gaussian Beam Propagating in Ring Resonator Sensor by Long Jin, Zhiqiang Yang, Qiang Zhang

“…In this paper, we deduce the paraxial analytical expression for the Gaussian beam propagating in the sandwich slab system which contained double negative material based on light transfer matrix and generalized Huygens-Fresnel integral equation; the evolution properties of emerging Gaussian beam contour graph intensity distribution on the receiver plane, the relation between beam spot size and negative refractive index coefficient, and beam side transmission view in slab system changed with three negative refractive index parameters are illustrated through numerical examples. …”
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Water Absorption Behavior of Teff (Eragrostis tef) Straw Fiber-Reinforced Epoxy Composite: RSM-Based Statistical Modeling and Kinetic Analysis by S. Venkatesa Prabhu, Vincent Herald Wilson, K. T. Anand, S. Jose, S. Sivamani, Chinnasamy Gomadurai, Melkamu Kifetew

“…Hence, the fiber property, hydrophilic nature, is influenced by the presence of noncrystalline and voids part of these fibers that significantly influences the polymer matrix adhesion. Hence, it is very important to understand the water absorption behavior of reinforced fiber composites. …”
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Classification of Performance Grades of High Modulus Asphalt and Its Mixture: Taking China as an Example by Lu Zhou, Kaixi Duan, Feng Gao, Yi Fu, Qian Chen

“…The differences in high- and low-temperature performance of matrix asphalt, basic modified high modulus asphalt, and composite modified high modulus asphalt were compared and evaluated. …”
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Methods of synchronization of electric drives not mechanically connected by A. E. Bychkov, T. A. Funk, A. V. Aleksandrov

“…A comparison of synchronization structures is made in terms of the impact on the final operation of the system and hardware synchronization methods in terms of applicability and maximum performance. The mathematical apparatus is based on the principle of separation of the movements of each of the electric drives and the representation of its transfer function in matrix form. …”
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Analysis of Fission Products’ Release in Pebble-Bed High-Temperature Gas-Cooled Reactor Fuel Elements Using a Modified FRESCO II Numerical Model by Chao Fang, Chuan Li, Jianzhu Cao, Ke Liu, Sheng Fang

“…However, it has been found that the mathematical method of this code is not comprehensive, resulting in large errors for short-lived nuclides and large time step during calculations. …”
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Modeling the Kinetics of Potassium Diffusion in Estima Potato under Different Leaching Conditions by David Adu-Poku, Selina A. Saah, Jacob K. Agbenorhevi

“…The kinetic parameters showed a change in slope or discontinuity in the gelatinization temperature range as a function of temperature, an indication of a change in the diffusional matrix. The optimum operating conditions were 80°C preheating and leaching at temperatures up to 50°C. …”
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A Novel Recommendation Algorithm Integrates Resource Allocation and Resource Transfer in Weighted Bipartite Network by Qiang Sun, Leilei Shi, Lu Liu, Zixuan Han, Liang Jiang, Yan Wu, Yeling Zhao

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Novel Approach to Handling Microfiber-Rich Dye Effluent for Sustainable Water Conservation by R. Dharmaraj, Alagar Karthick, G. K. Arunvivek, S. Gopikumar, V. Mohanavel, M. Ravichandran, Murugesan Bharani

“…The correlation coefficient of the developed mathematical models exhibited a dependable correlation of more than 90%. …”
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Advanced load balancing techniques using MIMO fuzzy logic: A panel distribution case study at state polytechnic of Malang by Ika Noer Syamsiana, Harry Hassidiqi, Wijaya Kusuma, Anang Dasa Novfowan, Arwin Datumaya Wahyudi Sumari, Chandra Wiharya

“…The method is as follows: • The fuzzy approach used a multi-input multi-output (MIMO) system with rule-base 3 × 3 × 3 matrix. • The Sugeno method was selected due to its utilization of a constant mathematical function. …”
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Generation of address sequences with specified switching activity and address repeatability by V. N. Yarmolik, N. A. Shevchenko, V. А. Levantsevich, D. V. Demenkovets

“…It is shown that in order to find a generating matrix for generating such sequences, it is necessary to solve the problem of decomposing an integer into terms. …”
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ANALYTICAL SYNTHESIS OF FORCED PULSE ELECTRONIC DRIVE CONTROL OF A TRACKING SYSTEM by A. S. Abufanas, A. A. Lobaty, Y. F. Yacina

“…Expressions are obtained for the matrix of transitions of the system and the control signal in a vector form.As an example, the electric drive described by the widespread second-order mathematical model is considered to evaluate the efficiency of the proposed method. …”
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Selection of Sustainable Building Material Using Multicriteria Decision-Making Model: A Case of Masonry Work in Lideta Subcity, Addis Ababa by Diriba Tegegne, Mebratu Abera, Esayas Alemayehu

“…The research is of the empirical type which uses mathematical formula, matrix concept, and analytical hierarchy process (AHP) as a model. …”
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A retrial queueing system with processor sharing and impatient customers by V. I. Klimenok

“…The problem of constructing and investigating a mathematical model of a stochastic system with processor sharing, repeated calls, and customer impatience is considered. …”
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