Results 81 to 90 of about 1,742 (157)

Critical extinction exponents for a nonlocal reaction-diffusion equation with nonlocal source and interior absorption

, 2014
This paper is concerned with a nonlocal reaction-diffusion equation with nonlocal source and interior absorption ut=∫RNJ(x−y)(u(y,t)−u(x,t))dy+λ∫Ωuqdx−up, x∈Ω, t>0, u(x,t)=0, x∉Ω, t≥0, u(x,0)=u0(x), x∈Ω.
Bing Gao, Jiashan Zheng
semanticscholar   +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

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

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

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

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

Variational–hemivariational system for contaminant convection–reaction–diffusion model of recovered fracturing fluid

Advances in Nonlinear Analysis
This work is devoted to study the convection–reaction–diffusion behavior of contaminant in the recovered fracturing fluid which flows in the wellbore from shale gas reservoir. First, we apply various constitutive laws for generalized non-Newtonian fluids,
Cen Jinxia, Migórski Stanisław, Yao Jen-Chih, Zeng Shengda   +3 more
doaj   +1 more source

Global boundedness in a two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity

Advances in Nonlinear Analysis
In this study, we investigate the two-dimensional chemotaxis system with nonlinear diffusion and singular sensitivity: ut=∇⋅(uθ−1∇u)−χ∇⋅uv∇v,x∈Ω,t>0,vt=Δv−v+u+g(x,t),x∈Ω,t>0,(∗)\left\{\begin{array}{ll}{u}_{t}=\nabla \cdot \left({u}^{\theta -1}\nabla u ...
Ren Guoqiang, Zhou Xing
doaj   +1 more source

Mathematical models of cell self-organization

Journal of the Egyptian Mathematical Society, 2011
Various classes of Partial Differential Equations have shown to be successful in describing the self-organization of bacterial colonies, a topic also sometimes called socio-biology. For instance parabolic systems are standard; the classical Patlak–Keller–
Benoît Perthame
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