Trivariate Stochastic Weather Model for Predicting Maize Yield by Patrick Chidzalo, Phillip O. Ngare, Joseph K. Mung’atu

“…Stochastic analyses are applied on the pdf and process to account for nonlinearity and nonstationarity, and also establish a corresponding stochastic differential equation (SDE) for maize yield. The trivariate stochastic process predicts maize yield with R2=0.8389 and MAPE=4.31% under a deep learning framework. …”
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Urban Lead: Modeling Its Distribution and Effects on Children by Zhixiong Chen, Yi Ding, Andrew Getz, Bernard Lipat

“…The model is constructed using the diffusion-advection partial differential equation in three spatial dimensions and one temporal dimension with an initial condition and boundary conditions. …”
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Flexural-Torsional Vibration of Thin-Walled Beams Subjected to Combined Initial Axial Load and End Bending Moment: Application to the Design of Saw Tooth Blades by Van Binh Phung, Anh Tuan Nguyen, Hoang Minh Dang, Thanh-Phong Dao, V. N. Duc

“…The analytical expressions for the first natural frequencies of thin-walled beams were derived by two methods that are a method based on the existence of the roots theorem of differential equation systems and the Rayleigh method. In particular, the stability boundary of a beam can be determined directly from its first natural frequency expression. …”
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Complex dynamics of a predator-prey fishery model: The impact of the Allee effect and bilateral intervention by Yuan Tian, Yang Liu, Kaibiao Sun

“…The existence and stability of the order-1 periodic solution and the order-2 periodic solution of the control system are analyzed by using the differential equation geometry theory. Additionally, numerical simulations are carried out to verify the correctness of the conclusions, and illustrate the impact of the Allee effect and bilateral intervention on the ecosystem, which provides an effective method for modern fishery conservation and harvesting.…”
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Financial development, research in finance, and economic growth by Chadi Azmeh, Marwan Al-Raeei

“…Utilizing the two-step system GMS method and the Runge-Kutta framework, the research defines and addresses a differential equation, achieving remarkable precision in economic modeling by fine-tuning step sizes and adapting the algorithm to the specific economic context. …”
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A Spatial Euler-Bernoulli Beam Element for Rigid-Flexible Coupling Dynamic Analysis of Flexible Structures by Zhigang Zhang, Zhaohui Qi, Zhigang Wu, Huiqing Fang

“…Thus all the high frequencies can be filtered out and a corresponding equivalent internal damping will be produced in this new formulation, which can improve the computation performance of the proposed element for solving the stiff problem and evaluate the governing equations even by using the nonstiff ordinary differential equation solver. Finally, several numerical examples are carried out to verify the validation and efficiency of this proposed formulation by comparison with the analytical solutions and other research works.…”
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Probing the diversity of kink solitons in nonlinear generalised Zakharov-Kuznetsov-Benjamin-Bona-Mahony dynamical model by Naher Mohammed A. Alsafri, Hamad Zogan

“…Using a wave transformation, the employed transformative technique first converts GZK-BBME to a nonlinear ordinary differential equation (NODE). With the incorporation of the Riccati equation, a close-form solution is then assumed for the resultant NODE by RMESEM, which converts the NODE into a set of algebraic equations. …”
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Mathematical modeling of Glassy-winged sharpshooter population by Jeong-Mi Yoon, Volodymyr Hrynkiv, Lisa Morano, Anh Tuan Nguyen, Sara Wilder, Forrest Mitchell

“…The model is a delayGompertz differential equation with harvesting and immigrationterms, and we use the data to estimate the model parameters.…”
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Modeling and Dynamic Performance Analysis of Hydraulic Top Drive Main Transmission System with Long Hydraulic Pipelines by Yuanling Shi, Pingsong Zhang

“…A mathematical model of hydraulic top drive main transmission with differential equation of hydraulic units and state space equation of hydraulic long pipelines was deduced in this research. …”
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Exploration of Soliton Solutions to the Special Korteweg–De Vries Equation with a Stability Analysis and Modulation Instability by Abdulrahman Alomair, Abdulaziz S. Al Naim, Ahmet Bekir

“…The model of concern is a partial differential equation that is used as a mathematical model of waves on shallow water surfaces. …”
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Large-Eddy Simulation of the Flow Past a Circular Cylinder at Re = 130,000: Effects of Numerical Platforms and Single- and Double-Precision Arithmetic by Dmitry A. Lysenko

“…Numerical simulations of sub-critical flow past a circular cylinder at Reynolds number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mi mathvariant="normal">R</mi><mi mathvariant="normal">e</mi></mrow></mrow></semantics></math></inline-formula> = 130,000 are performed using two numerical platforms: the commercial, Ansys Fluent, and the open-source, OpenFOAM (finite volume method and large-eddy simulation based on a differential equation for the sub-grid kinetic energy). An overview of the available experimental data and similar large-eddy simulation studies is presented. …”
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Mathematical Analysis of Malaria Epidemic: Asymptotic Stability With Cost-Effectiveness Study by Sacrifice Nana-Kyere, Baba Seidu, Kwara Nantomah

“…With the ongoing vaccination programs for vector-borne diseases, the research proposes a nonlinear differential equation model for the malaria disease that provides public health with a shift from the classical understanding of nonpharmaceutical preventive malaria control to pharmaceutical measures of vaccines. …”
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Multiple Positive Solutions of Singular Nonlinear Sturm-Liouville Problems with Carathéodory Perturbed Term by Yuefeng Han, Xinguang Zhang, Lishan Liu, Yonghong Wu

“…By employing a well-known fixed point theorem, we establish the existence of multiple positive solutions for the following fourth-order singular differential equation Lu=p(t)f(t,u(t),u′′(t))-g(t,u(t),u′′(t)),0<t<1,α1u(0)-β1u'(0)=0,γ1u(1)+δ1u'(1)=0,α2u′′(0)-β2u′′′(0)=0,γ2u′′(1)+δ2u′′′(1)=0, with αi,βi,γi,δi≥0 and βiγi+αiγi+αiδi>0,    i=1,2, where L denotes the linear operator Lu:=(ru′′′)'-qu′′,r∈C1([0,1],(0,+∞)), and q∈C([0,1],[0,+∞)). …”
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Study on Quality Decisions in Supply Chain considering the Lagged Time and Retailers Competition by Yuan Peng, Liang Ning

“…This paper probes into the lagged time of quality on goodwill under the competitive environment of retailers and constructs a lagged differential equation of quality on goodwill based on the Nerlove–Arrow model. …”
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Comment on “Neutrino interaction with matter in a noninertial frame” by R. R. S. Oliveira

“…Next, we use the four-component Dirac spinor and obtain a set/system of four coupled first-order differential equations. From the first two equations with m → 0, we obtain a (compact) second-order differential equation for the last two spinor components. …”
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On the Optimal Control of HIV-TB Co-Infection and Improvement of Workplace Productivity by Baba Seidu, Oluwole Daniel Makinde, Ibrahim Yakubu Seini

“…In this paper, we present a nonlinear ordinary differential equation model to study the dynamics of HIV-TB co-infection and its effect on workforce productivity. …”
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A Hybrid Power Series Artificial Bee Colony Algorithm to Obtain a Solution for Buckling of Multiwall Carbon Nanotube Cantilevers Near Small Layers of Graphite Sheets by Aminreza Noghrehabadi, Mohammad Ghalambaz, Mehdi Ghalambaz, Afshin Ghanbarzadeh

“…A trial solution of the differential equation is defined as sum of two polynomial parts. …”
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Neural ODEs for holographic transport models without translation symmetry by Zhuo-Fan Gu, Yu-Kun Yan, Shao-Feng Wu

“…We convert the flow equation to a Neural Ordinary Differential Equation (Neural ODE), which is a neural network with continuous depth and produces output through a black-box ODE solver. …”
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Study on construction and identification of dynamic model of precooler in aviation bleed air system by SHI Zhouzheng, DONG Minghao, LIU Qi, LUO Ziyan, WANG Hongbo, QIN Xiansheng, WANG Zhanxi

“…The finite element method was used to establish the partial differential equation of the heat exchange mechanism, and the heat exchange mechanism of the precooler was analyzed. …”
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Measurement of Coordinated and Coupled Development and Evaluation of Sustainable Development for Marine Economic-Ecological Complex System by Mingming Wen, Chang Liu, K. A. Mamonov, Jun Du

“…Specifically, an ecology-dominated coordinated development model was proposed for the complex system, and a differential equation model was established to describe the dynamic coordinated development of the complex system. …”
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