Global Dynamics of Secondary DENV Infection with Diffusion by A. M. Elaiw, A. S. Alofi

“…In this study, we develop and investigate a partial differential equations (PDEs) model that describes the dynamics of secondary DENV infection taking into account the spatial mobility of DENV particles and cells. …”
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Revisiting the classical target cell limited dynamical within-host HIV model - Basic mathematical properties and stability analysis by Benjamin Wacker

“…For that purpose, we proved some analytical results regarding the system of differential equations as our first main contribution. Specifically, we showed non-negativity and boundedness of solutions, global existence in time and global uniqueness in time and examined stability properties of two possible equilibria. …”
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Nonlinear Dynamics Modeling and Subharmonic Resonances Analysis of a Laminated Composite Plate by Ting Ma, Xiao Juan Song, Shu Feng Lu

“…The two-degree-of-freedom ordinary differential equations that describe the vibration of the rectangular plate are obtained by the Galerkin method. …”
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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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Dynamics of the Exponential Population Growth System with Mixed Fractional Brownian Motion by Weijun Ma, Wei Liu, Quanxin Zhu, Kaibo Shi

“…First, we establish some useful lemmas that provide powerful tools for studying the stochastic differential equations with mixed fractional Brownian motion. …”
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Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations by Huitzilin Yépez-Martínez, Ivan O. Sosa, Juan M. Reyes

“…The present method is efficient and reliable, and it can be used as an alternative to establish new solutions of different types of fractional differential equations applied in mathematical physics.…”
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Computational analysis for fractional model of coupled Whitham-Broer-Kaup equation by Jagdev Singh, Arpita Gupta, Dumitru Baleanu

“…In this research paper, we study a semi analytical technique to solve the nonlinear partial differential equations. This technique is good combination of homotopy analysis method with Kharrat-Toma transform. …”
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Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation Based on the Jacobi Elliptic Function Ideas by Qinghao Zhu, Jianming Qi

“…Therefore, further studying EMVJEEM may help researchers to seek for more soliton solutions to other nonlinear differential equations.…”
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Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes by Abdelghani Lakhdari, Muhammad Uzair Awan, Silvestru Sever Dragomir, Hüseyin Budak, Badreddine Meftah

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Existence and Uniqueness Results for a Class of Singular Fractional Boundary Value Problems with the p-Laplacian Operator via the Upper and Lower Solutions Approach by KumSong Jong, HuiChol Choi, KyongJun Jang, SunAe Pak

“…In this paper, we study the existence and uniqueness of positive solutions to a class of multipoint boundary value problems for singular fractional differential equations with the p-Laplacian operator. Here, the nonlinear source term f permits singularity with respect to its time variable t. …”
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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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An Improved Finite Difference Type Numerical Method for Structural Dynamic Analysis by Sung-Hoon Kim, Youn-sik Park

“…An improved finite difference type numerical method to solve partial differential equations for one-dimensional (1-D) structure is proposed. …”
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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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On viable therapy strategy for a mathematical spatial cancer model describing the dynamics of malignant and healthy cells by Alexander S. Bratus, Svetlana Yu. Kovalenko, Elena Fimmel

“…The mathematical model considered consists of three nonlinear parabolic partial differential equations which describe spatial dynamics of malignant cells as well as healthy ones, and of the concentration of the drug. …”
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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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The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid by S. M. Khaled, Abdelhalim Ebaid, Fahd Al Mutairi

“…The mathematical model is governed by a system of linear and nonlinear partial differential equations with prescribed boundary conditions. …”
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Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks by Yaming Zhang, Chaosheng Tang, Li Weigang

“…By analyzing the differential equations, one or two stable equilibrium points can be found under certain conditions. …”
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Superconformal blocks: general theory by Ilija Burić, Volker Schomerus, Evgeny Sobko

“…The central new ingredient is a universal construction of the relevant Casimir differential equations. In order to find these equations, we model superconformal blocks as functions on the supergroup and pick a distinguished set of coordinates. …”
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Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique by Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh

“…The KdV-Burgers equation is one of the most important partial differential equations, established by Korteweg and de Vries to describe the behavior of nonlinear waves and many physical phenomena. …”
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