Hopf Bifurcation, Cascade of Period-Doubling, Chaos, and the Possibility of Cure in a 3D Cancer Model by Marluci Cristina Galindo, Cristiane Nespoli, Marcelo Messias

“…We study a cancer model given by a three-dimensional system of ordinary differential equations, depending on eight parameters, which describe the interaction among healthy cells, tumour cells, and effector cells of immune system. …”
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Impact of a block structure on the Lotka-Volterra model by Clenet, Maxime, Massol, François, Najim, Jamal

“…The model consists of n coupled differential equations linking the abundances of n different species. …”
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THERMO-MAGNETO-ELASTIC ANALYSIS IN A CURRENT-CARRYING SHELL WITH CLAMPED PERIMETERS by BIAN YuHong, ZHANG Chen

“…The nonlinear partial differential equations including 10 basic unknown variables were established.Using Newmark’s stable finite equidifferent formulas,normal type which can be solved by the discrete-orthogonalization method was obtained. …”
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Settlement Prediction Based on the Relationship between the Empirical and Analytical Solutions of a Cylindrical Cavity under Undrained Conditions by Pieride Mabe Fogang, Yang Liu, Pengqiang Yu

“…The expansion of the cylindrical cavity is solved as a linear elasticity problem using a system of first-order ordinary differential equations containing two components in the Cartesian coordinates. …”
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Heat Transfer in Boundary Layer Magneto-Micropolar Fluids with Temperature-Dependent Material Properties over a Stretching Sheet by Ephesus O. Fatunmbi, Samuel S. Okoya

“…With the aid of similarity conversion analysis, the formulated equations of the flow and heat transfer have been translated into a system of nonlinear ordinary differential equations. Subsequently, Runge–Kutta–Fehlberg integration scheme in company of shooting techniques employed to obtain numerical solutions to the reduced equations. …”
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Static Characteristics of Improved Composite Box Girder with Corrugated Steel Webs by Shijin Wang, Genhui Wang, Zichen Zhang

“…In order to accurately calculate the cross-sectional stresses and deflections of the improved composite box girder with corrugated steel webs, the control differential equations and boundary conditions are established based on the energy variational principle, taking into account the effects of corrugated steel web properties, shear lag, and shear deformation. …”
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Analysis of Natural Characteristic and Loci Veering / Crossing of Double Helical Planetary Gear Train by Liu Zhenzhou, Zhang Jun

“…Based on the established model,the differential equations of motion of the system are derived. …”
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Aeroelastic Vibrations and Stability in Cyclic Symmetric Domains by Bernard Lalanne, Maurice Touratier

“…Firstly, general and usual cyclic symmetric properties are recovered from the Floquet theorem for differential equations, having space periodic coefficients in conjunction with a discrete space Fourier series development. …”
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Analysis of an HIV infection model incorporating latency age and infection age by Jinliang Wang, Xiu Dong

“…There is a growing interest to understand impacts of latent infection age and infection age on viral infection dynamics by using ordinary and partial differential equations. On one hand, activation of latently infected cells needs specificity antigen, and latently infected CD4+ T cells are often heterogeneous, which depends on how frequently they encountered antigens, how much time they need to be preferentially activated and quickly removed from the reservoir. …”
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Generalized Thermopiezoelectricity with Memory-Dependent Derivative and Transient Thermoelectromechanical Responses Analysis by Jianzhong Sun, Yaping Wu

“…In this paper, a novel generalized thermoelastopiezoelectric model is established by introducing memory-dependent derivative, which might be superior to fractional ones: the form is unique, while the fractional-order theories have various expressions with different authors; it is more intuitionistic for reflecting the memory effect; the physical meanings of the related memory-dependent differential equations are more clear, which are determined by the essence of their definitions; the time-delay and kernel function can be chosen freely based on the necessity of practical applications. …”
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Adaptive Time-Stepping Using Control Theory for the Chemical Langevin Equation by Silvana Ilie, Monjur Morshed

“…This model is represented as a system of stochastic differential equations, with multiplicative and noncommutative noise. …”
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Adapting physics-informed neural networks to improve ODE optimization in mosquito population dynamics. by Dinh Viet Cuong, Branislava Lalić, Mina Petrić, Nguyen Thanh Binh, Mark Roantree

“…The framework tackles the gradient imbalance and stiff problems posed by mosquito ordinary differential equations. The method offers a simple but effective way to resolve the time causality issue in PINNs by gradually expanding the training time domain until it covers entire domain of interest. …”
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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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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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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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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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Forced Vibration of Delaminated Timoshenko Beams under the Action of Moving Oscillatory Mass by M.H. Kargarnovin, M.T. Ahmadian, R.A. Jafari-Talookolaei

“…To solve the governing differential equations of motion using modal expansion series, eigen-solution technique is used to obtain the natural frequencies and their corresponding mode shapes necessary for forced vibration analysis. …”
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Assessing the global dynamics of Nipah infection under vaccination and treatment: A novel computational modeling approach. by Fang Yu, Muhammad Younas Khan, Muhammad Bilal Riaz, Saif Ullah, Muhammad Farooq

“…Initially, the model includes nine nonlinear ordinary differential equations that consider viral concentration, flying fox, and human populations simultaneously. …”
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