Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination by Musiime, Catherine

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RESPONSES OF DOUBLE DEGREE OF FREEDOM VIBRATION SYSTEM ON THE SEMI CIRCULAR RIGID PLATFORM EMBEDDED IN GROUND by ZOU NiXian

“…The total displacement in the half space media was given using elastic wave theory,and the second order constant coefficient differential equations with which the double degree of freedom oscillatory system can also be given with the vibration theory,the unknown coefficients in the scattering functions can be obtained using the displacement and stress continuity conditions on the interface between the media and the rigid platform. …”
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Dynamic Behaviors and Analytical Solutions of the Damped (2+1)-Dimensional Nonlinear Schrödinger Equation by Yongyi Gu, Feng Ye, Baixin Chen, Najva Aminakbari

“…Our results indicate that the extended systematic method for solving differential equations is more convenient and yields richer solutions. …”
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Peridynamic Formulation for Coupled Thermoelectric Phenomena by Migbar Assefa, Xin Lai, Lisheng Liu, Yang Liao

“…This is because traditional methods are developed based on partial differential equations (PDEs) and lead to infinite fluxes at the discontinuities. …”
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Prediction of influenza peaks in Russian cities: Comparing the accuracy of two SEIR models by Vasiliy N. Leonenko, Sergey V. Ivanov

“…The first one is a continuous SEIR model described by a system of ordinary differential equations. The second one is a discrete model formulated as a set of difference equations, which was used in the Baroyan-Rvachev modeling framework for the influenza outbreak prediction in the Soviet Union. …”
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Modeling the Effects of Nonpharmaceutical Interventions on COVID-19 Spread in Kenya by Duncan K. Gathungu, Viona N. Ojiambo, Mark E. M. Kimathi, Samuel M. Mwalili

“…The resulting system of ordinary differential equations (ODEs) is solved using fourth-order and fifth-order Runge–Kutta methods. …”
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A Simple Mathematical Model of Cyclic Circadian Learning by J. Šimon, M. Bulko

“…By the use of these functions and by formalism of differential equations, the concurrent processes of learning and forgetting are described mathematically. …”
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Parametric and self-excited oscillations under nonlinear parametric action and lag in elasticity by Alifov Alishir

“…To solve the differential equations of the system motion, the direct linearization method was used and equations for non-stationary and stationary modes of oscillations were derived. …”
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Study on Vibration Characteristic of Trilobe Raceway Cylindrical Roller Bearing with Elastic Support by Sun Xue, Deng Sier, Zhang Yuanjun, Chen Guoding

“…Based on dynamics analysis of rolling bearing,the dynamics differential equations for cylindrical roller bearing with trilobe raceway and elastic support are established. …”
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Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics by Mei Yan, Yongfeng Li, Zhongyi Xiang

“…In order to better control the pests, two-time delayed stage-structured predator-prey models with birth pulse and pest control tactics are proposed and analyzed by using impulsive differential equations in present work. The stability threshold conditions for the mature prey-eradication periodic solutions of two models are derived, respectively. …”
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Usage of computer algebra in teaching process by Aleksas Domarkas, Gintautas Misevičius, Violeta Pakalnytė, Albertas Pincevičius, Rimantas-Jonas Rakauskas

“…Namely, it is the problems of linear algebra, analyse of graphs, numerical calculation, integration, solution of differential equations, statistics for management, linear programming. …”
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Grey Prediction for Accuracy Life of Roller Pushing Mechanism by Zhang Liping

“…The albino form of differential equations of grey system GM（ 1,1） is established. …”
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Investigation of Subcombination Internal Resonances in Cantilever Beams by Haider N. Arafat, Ali H. Nayfeh

“…The method of time-averaged Lagrangian and virtual work is used to determine six nonlinear ordinary-differential equations governing the amplitudes and phases of the three interacting modes. …”
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Stability in Mean of Partial Variables for Coupled Stochastic Reaction-Diffusion Systems on Networks: A Graph Approach by Yonggui Kao, Hamid Reza Karimi

“…By transforming the integral of the trajectory with respect to spatial variables as the solution of the stochastic ordinary differential equations (SODE) and using Itô formula, we establish some novel stability principles for uniform stability in mean, asymptotic stability in mean, uniformly asymptotic stability in mean, and exponential stability in mean of partial variables for CSRDSNs. …”
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Competition and Dispersal Delays in Patchy Environments by Nancy Azer, P. van den Driessche

“…The model is formulated as a system of integro-differential equations with an arbitrary distribution of dispersal times between patches. …”
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Study on the Dynamics of Non-circular Planetary Gear Hydraulic Motor by Wei Shuang, Li Dianqi, Liu Guanghui

“…The dynamics differential equations are solved by using Runge-Kutta method. …”
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SEMI-ANALYTUCAL SOLUTION TO DYNAMIC ANALYSIS FOR PLOUGH SYSTEM by CHEN Hong Yue, ZHANG Kun, ZHANG Yu, MAO Jun, SONG Qiu Shuang

“…Dynamic model of plough system including three partial differential equations were solved with separation variables method. …”
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Vibration Characteristics for Moving Printing Membrane with Variable Density along the Lateral Direction by Mingyue Shao, Jimei Wu, Yan Wang, Qiumin Wu, Yuan Chen

“…The transverse vibration differential equations of moving membrane are established based on D’Alembert’s principle and discretized by using the differential quadrature method (DQM). …”
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Similarity Solution for High Weissenberg Number Flow of Upper-Convected Maxwell Fluid on a Linearly Stretching Sheet by Meysam Mohamadali, Nariman Ashrafi

“…Upon proper scaling and by means of an exact similarity transformation, the nonlinear momentum and constitutive equations of each layer transform into the respective system of highly nonlinear and coupled ordinary differential equations. Numerical solutions to the resulting boundary value problem are obtained using an efficient shooting technique in conjunction with a variable stepping method for different values of pressure gradients. …”
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Chemical Reaction Effect on Transient Free Convective Flow past an Infinite Moving Vertical Cylinder by Ashish Paul, Rudra Kanta Deka

“…The closed-form solutions of the dimensionless governing partial differential equations are obtained in terms of Bessel's functions and modified Bessel's functions by the Laplace transform technique. …”
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