Results 71 to 80 of about 1,301 (120)

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

Generic hyperbolicity for the equilibria of the one dimensional parabolic equation [PDF]

arXiv, 2003
We show, for some classes of diffusion coefficients that, generically in f, all equilibria of the reaction-diffusion equation u_t = (a(x)u_x)_x + f(u) with homogeneous Neumann boundary conditions are hyperbolic.
arxiv  

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

Coupling for some partial differential equations driven by white noise [PDF]

arXiv, 2004
We prove, using coupling arguments, exponential convergence to equilibrium for reaction--diffusion and Burgers equations driven by space-time white noise. We use a coupling by reflection.
arxiv  

Stepanov-like pseudo-almost automorphic solutions of infinite class in the alpha-norm under the light of measure theory

Nonautonomous Dynamical Systems
In this article, we study weighted Stepanov-like pseudo-almost automorphic functions with infinite delay using measure theory. We present a new concept of weighted ergodic functions, which is more general than the classical one.
Mbainadji Djendode, Ngarmadji Kossadoum, Koumla Sylvain   +2 more
doaj   +1 more source

On the minimal speed of traveling waves for a non-local delayed reaction-diffusion equation [PDF]

arXiv, 2008
In this note, we give constructive upper and lower bounds for the minimal speed of propagation of traveling waves for non-local delayed reaction-diffusion equation.
arxiv  

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

A classical approach to dynamics of parabolic competitive systems [PDF]

arXiv, 2011
We study the reaction-diffusion system, its stationary solutions, the behavior of the system near them and discuss similarities and differences for different boundary conditions.
arxiv  

Travelling wavefronts in nonlocal diffusion equations with nonlocal delay effects [PDF]

arXiv, 2014
This paper deals with the existence, monotonicity, uniqueness and asymptotic behaviour of travelling wavefronts for a class of temporally delayed, spatially nonlocal diffusion equations.
arxiv  

New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. I [PDF]

, 2006
A complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived. It is shown that all the known results for reaction-diffusion equations with power diffusivities follow as particular cases from those obtained here but not vise versa.
arxiv   +1 more source