Parameter estimation in a structured erythropoiesis model by Azmy S. Ackleh, Jeremy J. Thibodeaux

“…We develop a numerical method for estimating parameters in astructured erythropoiesis model consisting of a nonlinear system ofpartial differential equations. Convergence theory for the computedparameters is provided. …”
Get full text

Fractional Integration via Picard Method for Solving Fractional Differential-Algebraic Systems by Susan H. Mohammad, Abdulghafor Mohammed Al-Rozbayani

“…In this paper, we applied an efficient integrative method called the fractional Picard method to find the approximate solution to a system of fractional algebraic differential equations (SFADEs). By comparing the results with the exact solution, it was found that this method is highly efficient for finding solutions. …”
Get full text

First-Order Three-Point Boundary Value Problems at Resonance Part III by Mesliza Mohamed, Bevan Thompson, Muhammad Sufian Jusoh

“…The main purpose of this paper is to investigate the existence of solutions of BVPs for a very general case in which both the system of ordinary differential equations and the boundary conditions are nonlinear. …”
Get full text

Positive Periodic Solutions in a Discrete Time Three Species Competition System by Changjin Xu, Yusen Wu

“…With the aid of differential equations with piecewise constant arguments, a discrete analogue of continuous nonautonomous three species competition system is proposed. …”
Get full text

Torsional Vibrations at Guide-Vane Shaft of Pump–Turbine Model by Andrej Predin

“…The mathematical models for theoretical torsional vibration prediction formulated using linear and nonlinear differential equations are presented. The results of theoretical calculations are compared with measurement results. …”
Get full text

Explicit Determinants of the RFPrLrR Circulant and RLPrFrL Circulant Matrices Involving Some Famous Numbers by Tingting Xu, Zhaolin Jiang, Ziwu Jiang

“…Circulant matrices may play a crucial role in solving various differential equations. In this paper, the techniques used herein are based on the inverse factorization of polynomial. …”
Get full text

Some Results on Equivalence Groups by J. C. Ndogmo

“…The comparison of two common types of equivalence groups of differential equations is discussed, and it is shown that one type can be identified with a subgroup of the other type, and a case where the two groups are isomorphic is exhibited. …”
Get full text

Solutions of Fractional Konopelchenko-Dubrovsky and Nizhnik-Novikov-Veselov Equations Using a Generalized Fractional Subequation Method by Yanqin Liu, Limei Yan

“…It is observed that the proposed approach provides a simple and reliable tool for solving many other fractional coupled differential equations.…”
Get full text

Integral invariant manifold method applied to a mathematical model of osteosarcoma by Ophir Nave

“…These interactions are described by nonlinear ordinary differential equations. By applying the MIM method, two critical dynamic variables (Cancer cells and Necrotic cells) were identified, providing insights into the dynamics of osteosarcoma over time during treatment.…”
Get full text

Culling structured hosts to eradicate vector-borne diseases by Xinli Hu, Yansheng Liu, Jianhong Wu

“…A compartmental model is developed, in the form of a nonautonomoussystem of delay differential equations subject to impulses atspecific times, for mosquito-born disease control involvinglarvicides and insecticide sprays. …”
Get full text

Gluing for the Einstein constraint equations by Corvino, Justin

“…Initial data for the Einstein equations must satisfy a system of nonlinear partial differential equations, the Einstein constraint equations. …”
Get full text

Global Existence for the 3D Tropical Climate Model with Small Initial Data in H˙1/2ℝ3∗ by Hui Zhang, Juan Xu

“…The well-posedness problem is an important but challenging research topic in nonlinear partial differential equations. In this paper, we establish a global-in-time existence result of strong solutions for small initial data in terms of the H˙1/2ℝ3 norm on three-dimensional tropical climate model with viscosities by derive a blow-up criterion combine with energy estimates. …”
Get full text

Dynamic Properties of the Solow Model with Increasing or Decreasing Population and Time-to-Build Technology by Luca Guerrini, Mauro Sodini

“…The analytical results are obtained using the recent technique introduced by Beretta and Kuang (2002) in the studying of delayed differential equations with delay-dependent coefficients in characteristic equation. …”
Get full text

Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination by Mei Yan, Zhongyi Xiang

“…By applying Floquet theory and the comparison theorem of impulsive differential equations, a threshold parameter which determines the extinction or persistence of the disease is presented. …”
Get full text

Skew Circulant Type Matrices Involving the Sum of Fibonacci and Lucas Numbers by Zhaolin Jiang, Yunlan Wei

“…Skew circulant and circulant matrices have been an ideal research area and hot issue for solving various differential equations. In this paper, the skew circulant type matrices with the sum of Fibonacci and Lucas numbers are discussed. …”
Get full text

Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions by Jiqiang Jiang, Lishan Liu, Yonghong Wu

“…This paper investigates the existence of positive solutions for a class of singular p-Laplacian fourth-order differential equations with integral boundary conditions. …”
Get full text

Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor Sets by Ai-Min Yang, Xiao-Jun Yang, Zheng-Biao Li

“…Some examples are given to illustrate the efficiency and accuracy of the proposed method to obtain analytical solutions to differential equations within the local fractional derivatives.…”
Get full text

Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay by Yuzhen Bai, Xiaopeng Zhang

“…Finally, the direction and stability of Hopf bifurcations are determined by normal form theory and center manifold reduction for partial functional differential equations.…”
Get full text

On the Exact Solutions of Nonlinear Potential Yu–Toda–Sasa–Fukuyama Equation by Different Methods by Qinghao Zhu, Jianming Qi

“…It is observed that the extended complex method and G′/G-expansion method are reliable and will be used extensively to seek for exact solutions of any other nonlinear partial differential equations (NPDEs).…”
Get full text

Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems by Umer Saeed, Mujeeb ur Rehman

“…Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is implemented to linearized differential equations. …”
Get full text