Permeability Properties of Jointed Rock with Periodic Partially Filled Fractures by Fei Ye, Jun-Chao Duan, Wen-Xi Fu, Xing-Yu Yuan

“…To investigate the seepage characteristics of a rock mass with partly filled fractures, a mathematical model is established. In this model, the clear fluid in fractures is governed by the Navier-Stokes equation, and the fluid both in the porous medium and rock matrix are subjected to the Brinkman-Extended Darcy equation. …”
Get full text

Hidden Attractors in Chaotic Systems with Nonlinear Functions by Safara Bibi, Juan Hugo García López, Rider Jaimes-reategui, Hafiz Muhammad Zeeshan, Guillermo Huerta-cuellar

“…These attractors can arise in various mathematical models, such as the Lorenz system, Rössler system, or Chua's circuit. …”
Get full text

Vibrations of Plates and Shells with Attached Mass by L. U. Sultanov, I. R. Garifullin

“…The problem of vibrations of plates and shells with a mass attached to the point was solved. A mathematical model was developed based on the hypothesis of nondeformable normals. …”
Get full text

Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics by Hai-Feng Huo, Qian Wang

“…We develop a nonlinear mathematical model with the effect of awareness programs on the binge drinking. …”
Get full text

Analysis of Repairable Geo/G/1 Queues with Negative Customers by Doo Ho Lee, Kilhwan Kim

“…We construct the mathematical model and present the probability generating functions of the system size distribution and the FCFS sojourn time distribution. …”
Get full text

A Convolutional Neural Network for Nonrigid Structure from Motion by Yaming Wang, Xiangyang Peng, Wenqing Huang, Meiliang Wang

“…Compared with the traditional method for directly solving 3D structures, our model focuses on depth information that is lost owing to projection. This mathematical model is developed using a convolutional neural network with three modules for integration, reconstruction, and optimization, as well as two prior-free loss functions. …”
Get full text

Mathematical analysis of a quorum sensing induced biofilm dispersal model and numerical simulation of hollowing effects by Blessing O. Emerenini, Stefanie Sonner, Hermann J. Eberl

“…We analyze a mathematical model of quorum sensing induced biofilm dispersal. …”
Get full text

On the choice of the method of dynamic rationing of energy resources in oil refineries by V. R. Vedruchenko, E. M. Rezanov, A. P. Starikov, A. V. Kushnarenko, P. A. Surovtsev, V. A. Kikhtenko

“…In order to obtain predictive data, linear regression, machine learning, and neural networks are proposed to be used to build a mathematical model. The advantages and disadvantages of these methods are discussed, and the accuracy of the models is compared with the possibility of interpreting them. …”
Get full text

Accuracy analysis of different components evaluation of time series by Vitalija Klokova

“… Mathematical models for decomposing and forecasting of time series are analysed in this paper. …”
Get full text

Errors analysis in pyrometric measurements in industrial environment by D. B. Ponomarev, V. A. Zakharenko, E. V. Abramova

“…On the Planck function and the aluminum reflection coefficient mathematical model basis the analytical aluminum radiation coefficient dependence on temperature and wavelength is obtained. …”
Get full text

Blasting neuroblastoma using optimal control of chemotherapy by Craig Collins, K. Renee Fister, Bethany Key, Mary Williams

“…A mathematical model is used to investigate the effectiveness of thechemotherapy drug Topotecan against neuroblastoma. …”
Get full text

INTERVAL ESTIMATION OF THE VOLUMES OF RESOURCE CONSUMPTION AT THE STOCHASTIC BASIC DATA by Y. Gagarin, S. Gagarina

“…The necessity of taking into account errors in the values of functions and arguments when estimating the parameters of mathematical models is shown. To take into account the random nature of the initial information when estimating the parameters of the models, it is proposed to use methods of confluent analysis. …”
Get full text

Modeling diseases with latency and relapse by P. van den Driessche, Lin Wang, Xingfu Zou

“…A general mathematical model for a disease with an exposed(latent) period and relapse is proposed. …”
Get full text

A malaria model with partial immunity in humans by Jia Li

“…In this paper, we formulate a mathematical model for malaria transmission thatincludes incubation periods for both infected human hosts and mosquitoes. …”
Get full text

A Fast Finite-Difference Time Domain Simulation Method for the Source-Stirring Reverberation Chamber by Wenxing Li, Chongyi Yue, Atef Elsherbeni

“…In this paper, we present a fast simulation method, which is able to significantly decrease the simulation time of the source-stirring reverberation chamber. The mathematical model of this method is given in detail and home-made FDTD code is employed to conduct the simulations and optimizations as well. …”
Get full text

Analysis of Climatic Model Using Fractional Optimal Control by Muhammad Nadeem, Mustafa Habib, Muntaha Safdar, Patrick Kandege Mwanakatwe

“…In this research, we propose a fractional optimal control approach to effectively deal with the accessible resources and minimize the restriction of variables. The mathematical model is formulated in terms of the Caputo fractional derivative. …”
Get full text

Analysis of singularity planar multi-linkage mechanism of fourth order by E. S. Gebel

“…That is why the singularity problem is relevant for such mechanisms and should be studied to avoid jamming of links or the appearance of uncontrolled movements. The mathematical model is based on the theory of screws and contains the closed-loop equilibrium equations obtained for the investigated mechanism. …”
Get full text

Numerical Investigation on Suppressing High Frequency Self-Excited Noises of Armature Assembly in a Torque Motor Using Ferrofluid by Hasiaoqier Han, Songjing Li, Liang Guo, Qingwen Wu

“…Attempting to suppress high frequency self-excited noises of armature assembly, ferrofluid is added to the working clearances of torque motor. The mathematical model of resistance force of ferrofluid applied to armature is derived theoretically from parallel plate squeeze flow theory and ferrofluid constitutive model in which shear thickening and shear thinning effects are taken into account. …”
Get full text

A surface model of nonlinear, non-steady-state phloem transport by Youcef Mammeri, Damien Sellier

“…Following Thompson and Holbrook[35]'s approach, we develop a mathematical model of coupled water-carbohydrate transport. …”
Get full text

Binary mixture convection in a horizontal channel under the Soret effect action by Stepanova Irina

“…The mathematical model describing stationary flow of binary liquid mixture is under consideration. …”
Get full text