Results 71 to 80 of about 1,742 (157)
Global-in-time behavior of the solution to a Gierer-Meinhardt system [PDF]
, 2012 Gierer-Meinhardt system is a mathematical model to describe biological pattern formation due to activator and inhibitor. Turing pattern is expected in the presence of local self-enhancement and long-range inhibition.
Karali, Georgia D +2 more
core
, 2015 Let v and T be positive numbers, D = (0,∞), Ω = D × (0, T ], and D̄ be the closure of D. This article studies the first initial-boundary value problem, ut − uxx = δ(x− vt)f (u(x, t)) in Ω, u(x, 0) = ψ(x) on D̄, u(0, t) = 0, u(x, t) → 0 as x → ∞ for 0 < t
C. Y. Chan +2 more
semanticscholar +1 more source
Dynamical behavior of a harvest single species model on growing habitat
, 2014 This paper is concerned with a reaction-diffusion single species model with harvesting on $n$-dimensional isotropically growing domain. The model on growing domain is derived and the corresponding comparison principle is proved.
Ling, Zhi, Zhang, Lai
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Sharp Blow-Up Profiles of Positive Solutions for a Class of Semilinear Elliptic Problems
Advanced Nonlinear Studies, 2021 This paper analyzes the behavior of the positive solution θε{\theta_{\varepsilon}} of the perturbed ...
Li Wan-Tong +2 more
doaj +1 more source
Traveling Wave Solutions of a Reaction-Diffusion Equation with State-Dependent Delay [PDF]
, 2014 This paper is concerned with the traveling wave solutions of a reaction-diffusion equation with state-dependent delay. When the birth function is monotone, the existence and nonexistence of monotone traveling wave solutions are established.
Lin, Guo, Wang, Haiyan
core
Time-scale analysis non-local diffusion systems, applied to disease models
, 2020 The objective of the present paper is to use the well known Ross-Macdonald models as a prototype, incorporating spatial movements, identifying different times scales and proving a singular perturbation result using a system of local and non-local ...
Oliva, Sergio +2 more
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Qualitative analysis on a predator-prey model with Ivlev functional response
, 2013 The diffusive predator-prey model with Ivlev functional response is considered under homogeneous Dirichlet boundary conditions. Firstly, we investigate the bifurcation of positive solutions and derive the multiplicity result for γ suitably large ...
G. Guo, Bingfang Li, Xiaolin Lin
semanticscholar +1 more source
Construction of type I blowup solutions for a higher order semilinear parabolic equation
Advances in Nonlinear Analysis, 2019 We consider the higher-order semilinear parabolic ...
Ghoul Tej-Eddine +2 more
doaj +1 more source
Saturated Fronts in Crowds Dynamics
Advanced 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
Corrector estimates for the homogenization of a locally-periodic medium with areas of low and high diffusivity [PDF]
, 2011 We prove an upper bound for the convergence rate of the homogenization limit $\epsilon\to 0$ for a linear transmission problem for a advection-diffusion(-reaction) system posed in areas with low and high diffusivity, where $\epsilon$ is a suitable scale ...
Muntean, Adrian, van Noorden, Tycho
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