Results 71 to 80 of about 249 (171)

Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

Alexandria Engineering Journal, 2020
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi, Abdon Atangana, Ali Akgul   +2 more
doaj   +1 more source

Construction of type I blowup solutions for a higher order semilinear parabolic equation

Advances in Nonlinear Analysis, 2019
We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine, Nguyen Van Tien, Zaag Hatem   +2 more
doaj   +1 more source

Positive solutions for diffusive Logistic equation with refuge

Advances in Nonlinear Analysis, 2019
In this paper, we study the stationary solutions of the Logistic ...
Sun Jian-Wen
doaj   +1 more source

A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions

Alexandria Engineering Journal, 2018
This article aims to obtain the numerical solution of nonlinear Burgers’ equation in one and two dimensions using hybrid trigonometric differential quadrature method.
Geeta Arora, Varun Joshi
doaj   +1 more source

Asymptotic behavior of solutions of a free boundary model with seasonal succession and impulsive harvesting

Advances in Nonlinear Analysis
In this article, we consider the influence of seasonal succession and impulsive harvesting on the dynamical behavior of solutions to a free boundary model. First, the generalized principal eigenvalue is defined and its properties are studied.
Li Yanglei, Han Xuemei, Sun Ningkui
doaj   +1 more source

Reaction-diffusion systems with 1-homogeneous non-linearity

Electronic Journal of Differential Equations, 2002
We describe the dynamics of a system of two reaction-diffusion equations with 1-homogeneous non-linearity. We show that either an order-preserving property holds and can be used in order to determine the limiting behaviour in some (invariant) sets or the
Matthias Bueger
doaj  

Complex dynamics of a nonlinear discrete predator-prey system with Allee effect

Open Mathematics
The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
doaj   +1 more source

Algebraically decaying pulses in a Ginzburg-Landau system with a neutrally stable mode. [PDF]

, 2006
. In this paper, we study the existence and stability of pulse solutions in a system with interacting instability mechanisms, which is described by a Ginzburg-Landau equation for an A-mode, coupled to a diffusion equation for a B-mode.
Doelman, Arjen, Hek, G.M., Hek, G. (Geertje), Hek, Geertje, Valkhoff, N., Valkhoff, N.J.M., Doelman, A. (Arjen), Doelman, A.   +7 more
core   +2 more sources

Stability of pyramidal traveling fronts in time-periodic reaction–diffusion equations with degenerate monostable and ignition nonlinearities

Advances in Nonlinear Analysis
This article is concerned with the stability of time-periodic traveling fronts for reaction–diffusion equations with time-periodic degenerate monostable and ignition nonlinearities.
Liu Yuan-Hao, Bu Zhen-Hui, Zhang Suobing
doaj   +1 more source

Spreading Speeds and Traveling Waves for Periodic Evolution Systems

, 2005
2000 Math Subject Classification: 37C65, 37B55, 35K57, 35R10, 92D25The theory of spreading speeds and traveling waves for monotone autonomous semiflows is extended to periodic semiflows in the monostable case. Then these abstract results are applied to a
Liang, Xing, Yi, Yingfei, Zhao, Xiao-Qiang   +2 more
core   +1 more source