Dynamical Behavior and Stability Analysis in a Stage-Structured Prey Predator Model with Discrete Delay and Distributed Delay by Chao Liu, Qingling Zhang

“…According to Hopf bifurcation theorem for functional differential equations, it can be found that model undergoes Hopf bifurcation around the interior equilibrium when local stability switch occurs and corresponding stable limit cycle is observed. …”
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Application of Soft Computing Paradigm to Large Deformation Analysis of Cantilever Beam under Point Load by Yanmei Cui, Yong Hong, Naveed Ahmad Khan, Muhammad Sulaiman

“…The model is governed by nonlinear differential equations. Large deformation of a cantilever beam has number of applications is structural engineering. …”
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Synchronization of a Supply Chain Model with Four Chaotic Attractors by Jing Zheng, Qiongxin Zhang, Qi Xu, Fei Xu, Victor Shi

“…In this article, we construct a three-stage supply chain model using a system of differential equations to reveal the interplay among producers, distributors, and end customers. …”
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A hybrid fractional model for cervical cancer due to human papillomavirus infection by Ali Akgül, Nauman Ahmed, Sadiya Ali Rano, Qasem Al-Mdallal

“…The proposed model consists of three fractional order nonlinear differential equations. The Grünwald Letnikov method is used to approximate the hybrid operator. …”
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A Bivariate Chebyshev Spectral Collocation Quasilinearization Method for Nonlinear Evolution Parabolic Equations by S. S. Motsa, V. M. Magagula, P. Sibanda

“…This paper presents a new method for solving higher order nonlinear evolution partial differential equations (NPDEs). The method combines quasilinearisation, the Chebyshev spectral collocation method, and bivariate Lagrange interpolation. …”
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Recent Developments on Hybrid Time-Frequency Numerical Simulation Techniques for RF and Microwave Applications by Jorge F. Oliveira, José C. Pedro

“…This apparent multirate behavior can be appropriately described using partial differential equations (PDEs) within a bivariate framework, which can be solved in an efficient way using hybrid time-frequency techniques. …”
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Fluid-Induced Vibration Elimination of a Rotor/Seal System with the Dynamic Vibration Absorber by Qi Xu, Junkai Niu, Hongliang Yao, Lichao Zhao, Bangchun Wen

“…The numerical method is used for the solutions of the nonlinear differential equations. The nonlinear responses of the rotor/seal system without and with the absorber are obtained, and then the rotating speed ranges by which the fluid-induced instability can be eliminated completely and partially are presented, respectively. …”
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The g-generalized Mittag-Leffler (p,s,k)-function by Umbreen Ayub, Madiha Shafiq, Amir Abbas, Umair Khan, Anuar Ishak, Y.S. Hamed, Homan Emadifar

“…It may be used to solve a variety of fractional differential equations (FDEs) including fractional Laplace and fractional Poisson equations. …”
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Mathematical analysis of Lassa fever epidemic with real data by Adnan Aslam, Takasar Hussain, Muhammad Ozair, Arfah Hafeez, Wedad Albalawi, Mohammed Zakarya, Nadir Omer

“…Seven dimensional mathematical model is considered as the system of ordinary differential equations. First, we compute the equilibrium point in which no disease exists then, after finding the reproduction number, both types of stabilities, local and global, of this equilibrium point is discussed. …”
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Nonrigid Registration of Monomodal MRI Using Linear Viscoelastic Model by Jian Yang, Yang Chen, Jingfan Fan, Songyuan Tang

“…After global registration, the local shape variations are assumed to have the properties of the Maxwell model of linear viscoelasticity, and the deformation fields are constrained by the corresponding partial differential equations. To speed up the registration, an adaptive force is introduced according to the maximum displacement of each iteration. …”
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A Probabilistic Analysis to Quantify the Effect of March 11, 2004, Attacks in Madrid on the March 14 Elections in Spain: A Dynamic Modelling Approach by Juan-Carlos Cortés, Francisco Sánchez, Francisco-José Santonja, Rafael-Jacinto Villanueva

“…In this paper, we present a dynamic model based on a system of differential equations such that it, using data from Spanish CIS (National Center of Sociological Research), describes the evolution of voting intention of the Spanish people over time. …”
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Estimates for Unimodular Multipliers on Modulation Hardy Spaces by Jiecheng Chen, Dashan Fan, Lijing Sun, Chunjie Zhang

“…Finally, we investigate the boundedness of the operator eit|Δ|α/2 for α>0 and obtain the local well-posedness for the Cauchy problem of some nonlinear partial differential equations with fundamental semigroup eit|Δ|α/2.…”
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Mathematically modeling PCR: An asymptotic approximation with potential for optimization by Martha Garlick, James Powell, David Eyre, Thomas Robbins

“…A mathematical model for PCR (Polymerase Chain Reaction) is developed using the law of mass action and simplifying assumptions regarding the structure of the reactions. Differential equations are written from the chemical equations, preserving the detail of the complementary DNA single strand being extended one base pair at a time. …”
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University Mathematics for Engineers: Towards Optimum Compromise between Interactive and Traditional Approaches by E. A. Beliauskene, O. N. Imas, S. V. Kriviakov, E. V. Tsareva

“…We focus on different standard problems, such as, finding determinants, solving differential equations, integration by parts, etc. The aim of this study was to investigate what kinds of the activities lead to good learning outcomes. …”
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IMPACT OF CHEMICAL REACTION ON MHD BOUNDARY LAYER FLOW OF NANOFLUIDS OVER A NONLINEAR STRETCHING SHEET WITH THERMAL RADIATION HAAR WAVELET COLLOCATION METHOD by MAHESH KUMAR N, Vishwanath B Awati, Akash Goravar

“…The mathematical model scrutinizes mass, momentum, heat transfer and concentration equations are reduced to couple nonlinear ordinary differential equations over infinite domain using proper similarity variables. …”
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Deterministic Epidemic Models for Ebola Infection with Time-Dependent Controls by Eric Okyere, Johnson De-Graft Ankamah, Anthony Kodzo Hunkpe, Dorcas Mensah

“…In this paper, we have studied epidemiological models for Ebola infection using nonlinear ordinary differential equations and optimal control theory. We considered optimal control analysis of SIR and SEIR models for the deadly Ebola infection using vaccination, treatment, and educational campaign as time-dependent control functions. …”
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The Stochastic Resonance Phenomenon of Different Noises in Underdamped Bistable System by Shan Yang, Zening Fan, Ruibin Ren

“…By applying theory of stochastic differential equations to the numerical simulation of stochastic resonance problem, we simulate and analyze the system responses and pay close attention to stochastic control in the proposed systems. …”
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Geometrically Nonlinear Analysis of Functionally Graded Timoshenko Curved Beams with Variable Curvatures by Ze-Qing Wan, Shi-Rong Li, Hong-Wei Ma

“…By using the numerical shooting method to solve the coupled ordinary differential equations, the nonlinear response of static thermal bending of a FGM semielliptic beams subjected to transversely nonuniform temperature rise is obtained numerically. …”
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A Dynamic Stiffness Element for Free Vibration Analysis of Delaminated Layered Beams by Nicholas H. Erdelyi, Seyed M. Hashemi

“…Using the Euler-Bernoulli bending beam theory, the governing differential equations are exploited and representative, frequency-dependent, field variables are chosen based on the closed form solution to these equations. …”
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The global stability of an SIRS model with infection age by Yuming Chen, Junyuan Yang, Fengqin Zhang

“…In this paper, we consider an SIRS modelwith infection age, which is described by a mixed system ofordinary differential equations and partial differentialequations. …”
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