Results 51 to 60 of about 158 (111)

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

Dynamics of particulate emissions in the presence of autonomous vehicles

Open Mathematics
Around one third of CO2{{\rm{CO}}}_{2} emissions in the atmosphere are linked to vehicular traffic. Pollutant agents have an impact on the environment, in particular, the increased presence of particulate matter (PM) creates negative effects on human ...
Briani Maya, Denaro Christopher Anthony, Piccoli Benedetto, Rarità Luigi   +3 more
doaj   +1 more source

Initial layer problem of the Boussinesq system for Rayleigh-Bénard convection with infinite Prandtl number limit

Open Mathematics, 2018
The main purpose of this paper is to study the initial layer problem and the infinite Prandtl number limit of Rayleigh-Bénard convection with an ill prepared initial data.
Fan Xiaoting, Wang Shu, Xu Wen-Qing, Liu Mingshuo   +3 more
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

Generalized result on the global existence of positive solutions for a parabolic reaction-diffusion model with an m × m diffusion matrix

Demonstratio Mathematica
The aim of this work is to study the global existence in time of solutions for the tridiagonal system of reaction-diffusion by order mm. Our techniques of proof are based on compact semigroup methods and some L1{L}^{1}-estimates.
Barrouk Nabila, Abdelmalek Karima
doaj   +1 more source

Traveling Waves in a SIRH Model with Spatio-Temporal Delay and Nonlocal Dispersal. [PDF]

Acta Math Sci, 2022
Yang L, Yang YR, Song X.
europepmc   +1 more source

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

Advances 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

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

Dynamics and profiles of a degenerated reaction-diffusion host-pathogen model with apparent and inapparent infection period. [PDF]

Commun Nonlinear Sci Numer Simul, 2023
Wang J, Lu H.
europepmc   +1 more source

Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor. [PDF]

Qual Theory Dyn Syst, 2023
Rezounenko A.
europepmc   +1 more source