A note on the global properties of an age-structured viral dynamic model with multiple target cell populations by Shaoli Wang, Jianhong Wu, Libin Rong

“…We also show that under some scenarios the age-structured model can be reduced to an ordinary differential equation system with or without time delays.…”
Get full text

Optimal Treatment Strategies for HIV with Antibody Response by Yinggao Zhou, Kuan Yang, Kai Zhou, Chunling Wang

“…An HIV model of ordinary differential equation, which includes immune response, neutralizing antibodies, and multidrug effects, is improved. …”
Get full text

The Holling Type II Population Model Subjected to Rapid Random Attacks of Predator by Jevgeņijs Carkovs, Jolanta Goldšteine, Kārlis Šadurskis

“…If the predators’ gains and the time intervals between predator attacks are sufficiently small, our proposed method allows us to derive an approximative average dynamical system for mathematical expectations of population dynamics and the stochastic Ito differential equation for the random deviations from the average motion. …”
Get full text

Sandwich-Type Results and Existence Results of Analytic Functions Associated with the Fractional <i>q</i>-Calculus Operator by Sudhansu Palei, Madan Mohan Soren, Daniel Breaz, Luminiţa-Ioana Cotîrlǎ

“…Furthermore, we employ the existence of univalent solutions to a <i>q</i>-differential equation connected with a fractional <i>q</i>-integral operator of fractional order. …”
Get full text

Dynamics Analysis of a Class of Delayed Economic Model by Chuangxia Huang, Changlin Peng, Xiaohong Chen, Fenghua Wen

“…This investigation aims at developing a methodology to establish stability and bifurcation dynamics generated by a class of delayed economic model, whose state variable is described by the scalar delay differential equation of the form d2p(t)/dt2=−μδ(p(t))(dp(t)/dt)−μbp(t−τ1) −μ(a0p(t−τ2)/(a1+p(t−τ2)))+μ(d0−g0). …”
Get full text

Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams by Menglin Lou, Qiuhua Duan, Genda Chen

“…In this approach, the differential equation of motion describing the dynamic behavior of the Timoshenko beam can be transformed into a set of nonlinear algebraic equations. …”
Get full text

AXIAL TENSILE STRENGTH ANALYSIS OF UNBONDED FLEXIBLE PIPE CONTAINING COMPOSITE TENSILE ARMORS by MA JinSheng, DU FaXi, LUO Dan

“…As offshore oil industry moves into ultra-deep water,replacing the steel tensile armors of unbonded flexible pipe with composite is becoming a scheme that can effectively reduce weight and provide better mechanical properties.The anisotropic parameters of composite are obtained by meso-mechanical method,then a model of axisymmetric structure response for composite flexible pipe with composite armored layer is established,which is based on both thick-wall cylinder theory and the differential equation of curved beam,and also the algorithm of cyclic iterative is combined.Failure models of different type of flexible pipes are obtained,and iso-strength method is used for composite armored pipe.A case study shows that composite armors can effectively enhance the tensile strength of unbonded flexible pipe while effectively reduce the overall weight.Results state that volume fraction,elastic modulus and strength of fiber are the important parameters which affect the axial stiffness and tensile strength of unbonded flexible pipe.…”
Get full text

Scaling Laws of Droplet Coalescence: Theory and Numerical Simulation by M. Irshad Khodabocus, Mathieu Sellier, Volker Nock

“…The twofold objective of the present contribution is to propose a simple theoretical framework which leads to an Ordinary Differential Equation, the solution of which predicts the different scaling laws in various limits, and to validate these theoretical predictions numerically by modelling the phenomenon in the commercial Finite Element software COMSOL Multiphysics.…”
Get full text

DESIGN AND DYNAMIC ANALYSIS OF A NEW CHAOTIC VIBRATING SCREEN by WANG ChengJun, ZHU Tao

“…A new type of chaotic vibrating screen with one redundant degree of freedom is developed, the dynamic model of the new chaotic vibrating screen is established, the vibration differential equation of the vibrating screen is obtained by the Lagrange method, and its dynamic characteristic diagram is obtained through simulink simulation analysis. …”
Get full text

An Improved C-V Model and Application to the Coal Rock Mesocrack Images by Yulong Chen, Hongwei Zhang

“…In order to accurately and comprehensively obtain information about coal rock mesocrack images, image processing technique based on partial differential equation (PDE) is introduced in order to expound on the active contour model without edges and overcome the deficiency of the C-V model. …”
Get full text

Kinematics and Stiffness Characteristics of Orientation Adjustment and Vibration Isolation Platform with Active-passive Closed-loop Fusion by Geng Mingchao, Li Erwei, Li Yanan, Ma Hong, Wang Zhanying, Li Xin

“…Based on this, the first and second order influence coefficients of the mechanism are derived, which are concise and compact, and lay a foundation for the establishment of the motion differential equation and the analysis of the vibration characteristics of the mechanism. …”
Get full text

Time Series Prediction Based on Complex-Valued S-System Model by Bin Yang, Wenzheng Bao, Yuehui Chen

“…The experiment results show that the predicted data are very close to the target ones and our method could obtain the better RMSE, MAP, MAPE, POCID, R2, and ARV performances than ARIMA, radial basis function neural network (RBFNN), flexible neural tree (FNT), ordinary differential equation (ODE), and S-system.…”
Get full text

Effects of Elastic Foundation on the Vibration of Laminated Non-Homogeneous Orthotropic Circular Cylindrical Shells by A.H. Sofiyev, S.N. Keskin, Ali H. Sofiyev

“…Applying Galerkin method to the latter equations, a non-linear time dependent differential equation is obtained for the displacement amplitude. …”
Get full text

Study on the Load Sharing Characteristic and Influential Factor of the Planetary Transmission of Vertical Mill Reducer by Wang Wuguang

“…Taking planetary gear pair time-meshing stiffness,meshing damping,bearing support stiffness,support damping of vertical mill reducer into consideration,the vibration differential equation of planetary gear transmission is set up based on lumped parameter method,the dynamic mesh force of each gear pair is obtained by adopting Runge-Kutta method. …”
Get full text

The Impacts of Reducing the Infection Rate and Infection Source on the Transmission of Emerging Infectious Diseases by Jia-Tong Li

“…The impacts of measures intensity, diagnosis rate, and the start time of taking measures on emerging infectious diseases with infectious capacity during the incubation period are considered comprehensively by using a differential equation model. Results show that for each diagnosis rate, the number of infections and deaths has a phase change structure with respect to the measures intensity. …”
Get full text

A Finite Difference Scheme for Pricing American Put Options under Kou's Jump-Diffusion Model by Jian Huang, Zhongdi Cen, Anbo Le

“…By adding a penalty term, the partial integrodifferential complementarity problem arising from pricing American put options under Kou's jump-diffusion model is transformed into a nonlinear parabolic integro-differential equation. Then a finite difference scheme is proposed to solve the penalized integrodifferential equation, which combines a central difference scheme on a piecewise uniform mesh with respect to the spatial variable with an implicit-explicit time stepping technique. …”
Get full text

Numerical Solutions of Micropolar Nanofluid over an Inclined Surface Using Keller Box Analysis by Khuram Rafique, Hammad Alotaibi, Taher A. Nofal, Muhammad Imran Anwar, Masnita Misiran, Ilyas Khan

“…Compatible transformations are implemented to attain the nonlinear differential equation from the boundary value PDE’s. The physical quantities of practical interest are treated by graphically as well as numerically. …”
Get full text

Super algebra and Harmonic Oscillator in Anti de Sitter space by Omid Jalili, Shahin Toni

“…Then we apply the supersymmetric Quantum Mechanics approach to solve our differential equation. In this paper we have solved Schrodinger equation for harmonic oscillator in AdS spacetime by supersymmetry approach. …”
Get full text

Simulation and Domain Identification of Sea Ice Thermodynamic System by Bing Tan, Peng Lu, Zhijun Li, Enmin Feng, Juan Wang

“…Based on the measured data and characteristics of sea ice temperature distribution in space and time, this study is intended to consider a parabolic partial differential equation of the thermodynamic field of sea ice (coupled by snow, ice, and sea water layers) with a time-dependent domain and its parameter identification problem. …”
Get full text

Thermal Diffusivity Identification of Distributed Parameter Systems to Sea Ice by Liqiong Shi, Zhijun Li, Enmin Feng, Yila Bai, Yu Yang

“…A method of optimal control is presented as a numerical tool for solving the sea ice heat transfer problem governed by a parabolic partial differential equation. Taken the deviation between the calculated ice temperature and the measurements as the performance criterion, an optimal control model of distributed parameter systems with specific constraints of thermal properties of sea ice was proposed to determine the thermal diffusivity of sea ice. …”
Get full text