Results 61 to 70 of about 1,742 (157)

Global existence and blow-up for nonautonomous systems with non-local symmetric generators and Dirichlet conditions

, 2015
We study a semilinear system of the form ∂ui(t,x) ∂ t = ki(t)Aiui(t,x)+u βi i′ (t,x), t > 0, x ∈ D, ui(0,x) = fi(x), x ∈ D, ui|Dc ≡ 0, where D ⊂ Rd is a bounded open domain, ki : [0,∞) → [0,∞) is continuous, Ai is the infinitesimal generator of a ...
Aroldo Pérez
semanticscholar   +1 more source

Analysis of a diffusive host-pathogen model with standard incidence and distinct dispersal rates

Advances in Nonlinear Analysis, 2020
This paper concerns with detailed analysis of a reaction-diffusion host-pathogen model with space-dependent parameters in a bounded domain. By considering the fact the mobility of host individuals playing a crucial role in disease transmission, we ...
Wang Jinliang, Cui Renhao
doaj   +1 more source

Global existence for a strongly coupled reaction-diffusion systems with nonlinearities of exponential growth

, 2018
The aim of this study is to construct invariant regions in which we can establish global existence of classical solutions for reactiondiffusion systems with a general full matrix of diffusion coefficients.
B. Rebiai, S. Benachour
semanticscholar   +1 more source

Existence of the Fomin derivative of the invariant measure of a stochastic reaction--diffusion equation [PDF]

, 2014
We consider a reaction--diffusion equation perturbed by noise (not necessarily white). We prove existence of the Fomin derivative of the corresponding transition semigroup $P_t$. The main tool is a new estimate for $P_tD\varphi$ in terms of $\|\varphi\|_{
Da Prato, Giuseppe, Debussche, Arnaud
core   +2 more sources

Group classification of variable coefficient quasilinear reaction-diffusion equations

, 2013
The group classification of variable coefficient quasilinear reaction-diffusion equations $u_t=u_{xx}+h(x)B(u)$ is carried out exhaustively. This became possible due to usage of a conditional equivalence group found in the course of the study of ...
Vaneeva, Olena, Zhalij, Alexander
core   +1 more source

Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux

Boundary Value Problems, 2011
This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation.
Xu Si, Song Zifen
doaj  

Approximations to precisely localized supports of solutions for non-linear parabolic p-Laplacian problems

Demonstratio Mathematica
The shrinking of support in non-linear parabolic pp-Laplacian equations with a positive initial condition u0{u}_{0} that decayed as ∣x∣→∞| x| \to \infty was explored in the Cauchy problem.
Jeli Roqia Abdullah
doaj   +1 more source

Global stability and asymptotic profiles of a partially degenerate reaction diffusion Cholera model with asymptomatic individuals

Advances in Nonlinear Analysis
Considering the prevalence of asymptomatic individuals during the spread of disease, this article develops a model of degenerate reaction diffusion Cholera with asymptomatic individuals. First, the well-posedness of model is studied, including the global
Wang Shengfu, Nie Linfei
doaj   +1 more source

Asymptotic behavior of solutions for semilinear volterra diffusion equations with spatial inhomogeneity and advection

, 2016
. This paper is concerned with semilinear Volterra diffusion equations with spatial inhomogeneity and advection. We intend to study the effects of interaction among diffusion, advection and Volterra integral under spatially inhomogeneous environments ...
Yusuke Yoshida, Yoshio Yamada
semanticscholar   +1 more source

Predation-induced dispersal toward fitness for predator invasion in predator–prey models

Journal of Biological Dynamics, 2023
In this paper, we consider a predator–prey model with nonuniform predator dispersal, called predation-induced dispersal (PID), which represents predator motility depending on the maximal predation rate and the predator death rate in a spatially ...
Wonhyung Choi, Kwangjoong Kim, Inkyung Ahn   +2 more
doaj   +1 more source