Results 61 to 70 of about 155 (123)

Three Scale Unfolding Homogenization Method Applied to Cardiac Bidomain Model

open access: yes, 2021
International audienceIn this paper, we are dealing with a rigorous homogenization result at two different levels for the bidomain model of cardiac electro-physiology.
Bader, Fakhrielddine   +3 more
core   +1 more source

Saturated Fronts in Crowds Dynamics

open access: yesAdvanced Nonlinear Studies, 2021
We consider a degenerate scalar parabolic equation, in one spatial dimension, of flux-saturated type. The equation also contains a convective term. We study the existence and regularity of traveling-wave solutions; in particular we show that they can be ...
Campos Juan   +2 more
doaj   +1 more source

Global dynamics of population-toxicant models with nonlocal dispersals

open access: yesAdvances in Nonlinear Analysis
In the article, we first investigate a population-toxicant model with nonlocal dispersal. Compared to the local dispersal (random dispersal), nonlocal dispersal brings some difficulties.
Ma Li, Tang De
doaj   +1 more source

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

open access: yesAlexandria 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   +2 more
doaj   +1 more source

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

open access: yes, 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   +7 more
core   +1 more source

Analysis of a vector-borne disease model with vector-bias mechanism in advective heterogeneous environment

open access: yesAdvances in Nonlinear Analysis
This study proposed and analyzed a vector-borne reaction–diffusion–advection model with vector-bias mechanism and heterogeneous parameters in one-dimensional habitat.
Liu Jiaxing, Wang Jinliang
doaj   +1 more source

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

open access: yesAdvances in Nonlinear Analysis, 2019
We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine   +2 more
doaj   +1 more source

Control of Chaotic Behavior of Integro-Differential CNN Model Arising in Piezoelectric Material with Nano-Heterogeneities [PDF]

open access: yes, 2016
[Slavova Angela; Славова Анжела]Piezoelectrical material with heterogeneities of nano-holes or nano-inclusions is considered in the case when it is subjected to time harmonic electromechanical load.
Slavova, Angela, Litsyn, Elena
core  

Positive solutions for diffusive Logistic equation with refuge

open access: yesAdvances 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

open access: yesAlexandria 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

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