Preface to Special Issue in Honor of Carlos Castillo-Chavez by Simon A. Levin

“…Though he was well situated in a faculty job, he was not satisfied: He was interested in mathematical biology, having written an excellent thesis in population biology with Fred Brauer at Wisconsin entitled Linear and Nonlinear Deterministic Character-Dependent Models with Time Delay in Population Dynamics. …”
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Prediction of Load-Carrying Capacity in Steel Shear Wall with Opening Using Artificial Neural Network by E. Khalilzadeh Vahidi, M. M. Roshani

“…Load-carrying capacity of the SPSW is studied under static load using nonlinear geometrical and material analysis in ABAQUS and the obtained simulation results are verified. …”
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Mechanical Electrical Coupling Modeling and Fault Characteristic of the Main Driving System of the Annealing Kiln by Kangqu Zhou, Lei Lei, Xueming Wu, Wennan Xie, Zhiqun Kan

“…According to the fault characteristics of the Main Drive System of the Annealing Kiln（MDSAK）， the nonlinear factors such as the time-varying meshing stiffness of the gear and the time-varying stiffness of the bearing are considered synthetically， the mechanical electrical coupling dynamics model of the MDSAK including the driving motor， the gear driving system and the load system is established. …”
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Application of Linear Regression Mathematical Model in the Evaluation of Teachers’ Informatization Quality by Shuping Li, Xinlei Yuan

“…The design of the evaluation system is more scientific and reasonable, the regression error is small, the results obtained are more accurate, and the impact of nonlinear errors is basically eliminated.…”
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Advanced Speed‐and‐current control approach for dynamic electric car modelling by Buddhadeva Sahoo, Sangram Keshari Routray, Pravat Kumar Rout

“…To offer better regulation and excellent tracking operation of the EC, a combined proportional–integral–derivative controller‐based outer‐speed and inner‐current control approach is suggested to regulate the nonlinear parameters for different driving profile applications. …”
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Unsteady Electroosmotic Flow of Jeffrey Fluid in a Circular Microchannel under the Combined Action of Vertical Magnetic Field, External Electric Field, and Pressure at High Zeta Po... by Meirong Ren, Tiange Zhang, Jifeng Cui, Xiaogang Chen, Bixia Wu

“…The numerical solutions of the potential and velocity distributions are obtained by solving the nonlinear Poisson-Boltzmann equation, the constitutive equation of the Jeffrey fluid, and the Cauchy momentum equation applying the Chebyshev spectral method and the finite difference method. …”
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A New Processing Method Combined with BP Neural Network for Francis Turbine Synthetic Characteristic Curve Research by Junyi Li, Canfeng Han, Fei Yu

“…The principle of the proposed method is to convert the nonlinear characteristics of turbine to torque and flow characteristics, which can be used for real-time simulation directly based on neural network. …”
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Deep learning-based method for mobile social networks with strong sparsity for link prediction by HE Yadi, LIU Linfeng

“…It aimed to reduce the learning cost of the model, process high-dimensional and nonlinear network structures more effectively, and capture the temporal dynamics within mobile social networks, thereby enhancing the model’s predictive capability for the generation of existing links. …”
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Seismic Response and Evaluation of SDOF Self-Centering Friction Damping Braces Subjected to Several Earthquake Ground Motions by Jong Wan Hu, Myung-Hyun Noh

“…The configuration and response mechanism of self-centering friction damping brace systems are firstly described in this study, and then parametric investigations are conducted through nonlinear time-history analyses performed on numerical single degree-of-freedom spring models. …”
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Understanding Multiferroic Hexagonal Manganites by Static and Ultrafast Optical Spectroscopy by Yu Ting Wang, Chih Wei Luo, Takayoshi Kobayashi

“…Their electronic structures were revealed by static linear and nonlinear spectra. Two transitions located at ~1.7 eV and ~2.3 eV have been observed and attributed to the interband transitions from the lower-lying Mn3+dxy/dx2-y2 and dxz/dyz states to the Mn3+d3z2-r2 state, respectively. …”
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Image Reconstruction for High-Performance Electrical Capacitance Tomography System Using Deep Learning by Yanpeng Zhang, Deyun Chen

“…Recently, deep learning exhibits suitable solutions in many flourishing fields based on different series of artificial neural networks for mapping nonlinear functions. To address the obstacles, this paper proposes an imaging method using an optimizer reconstruction model. …”
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Solitary Wave Solutions to a Fractional-Order Fokas Equation via the Improved Modified Extended Tanh-Function Approach by M. B. Almatrafi

“…The outcomes highlight the effectiveness and adaptability of the proposed strategy in resolving fractional nonlinear differential equations and expand our knowledge of fractional-order systems.…”
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Experimental Analysis on Compression Characteristics of Improved Phyllite Filler by ZHANG Yang

“…Soil compression is an important characteristic that affect the construction and operation of improved soft rock filling in mountainous ports.Through adding 5% cement to improve the weakly weathered phyllite filler,setting 4 kinds of rolling loads and 5 cycles of loading and unloading,and using an improved high-pressure lever consolidation instrument,this paper measures the soil strain,compaction and porosity ratio under different stress states,and specifies the change law of compression modulus and resilience modulus during loading and unloading process.The test results shows that:The deformation of the modified phyllite filler mainly occurs in the first loading process,and it increases significantly with the increase of the rolling load.The porosity ratio curve shows a concave shape with the increased cycles of loading and unloading.When the rolling load is 100 kPa,the curve of porosity ratio is nonlinear with the increased cycles of loading and unloading;when the rolling load is 200 kPa,the compression of the soil changes from medium to low with the increase of compaction cycles.At this time,the modulus of resilience takes a minimum value.It is suggested that the 200 kPa roller compaction stress should be used as the first static compaction during the construction of improved soft rock filling in mountainous ports,which should be increased appropriately in the subsequent construction.…”
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Coherent Anti-Stokes Hyper-Raman Spectroscopy by Kazuki Inoue, Masanari Okuno

“…The CAHRS process relies on a fifth-order nonlinear process that combines hyper-Raman scattering with coherent Raman scattering. …”
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Femoral Head Coverage Assessment in Healthy Children Younger than 6 Years by Suvorov Vasyl, Filipchuk Viktor, Zyablovskyi Evhen

“…It was found that the growth process of different acetabular regions occurs nonlinearly with the periods of acceleration. Anterior and superior-anterior acetabular regions grow more intensively in boys up to 3 years old and between 4 and 5 years old both in boys and girls; superior-posterior, posterior-superior, and posterior-inferior acetabular regions grow more intensively in boys and girls up to 3 years old and between 4 and 5 years old (p≤0.005). …”
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Fractional Grassi–Miller Map Based on the Caputo h-Difference Operator: Linear Methods for Chaos Control and Synchronization by Ibtissem Talbi, Adel Ouannas, Giuseppe Grassi, Amina-Aicha Khennaoui, Viet-Thanh Pham, Dumitru Baleanu

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Application of Perceptual Filtering Models to Noisy Speech Signals Enhancement by Novlene Zoghlami, Zied Lachiri

“…The proposed approach is based on the application of two perceptual filtering models to noisy speech signals: the gammatone and the gammachirp filter banks with nonlinear resolution according to the equivalent rectangular bandwidth (ERB) scale. …”
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An Optimization Model for Reducing Pumping Costs in Water Distribution Systems by Abbasali Rezapour

“…The development of this framework commenced with the formulation of the issue as a mixed nonlinear programming problem, which subsequently underwent transformation into a mixed linear programming model through the application of linearization methodologies. …”
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Homotopy Analysis of the Radiation Effect on MHD Flow with Heat and Mass Transfer due to a Point Sink by C. N. Guled, B. B. Singh

“…The HAM produces an analytical solution of the governing self-similar nonlinear two-point boundary layer equations. The effects of the suction/injection, magnetic, and radiation parameters over the obtained solution have been discussed. …”
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Prediction of mechanical behavior of epoxy polymer using Artificial Neural Networks (ANN) and Response Surface Methodology (RSM) by Khalissa Saada, Salah Amroune, Moussa Zaoui

“…In addition, the experimental results indicated that the mechanical properties of both (Young's Modulus value and stress value) were higher in an intact specimen. Afterwards, the nonlinear functional relationship of input parameters between epoxy sample geometries and sections was established using the response surface model (RSM) and the artificial neural network (ANN) to predict the output parameters of mechanical properties (Young's Modulus and stress). …”
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