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Nonlocal Reaction-Diffusion Equations in Population Dynamics [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2019 This paper is dedicated to the memory of Narcisa Apreutesei Various problems in population dynamics are described by nonlocal reactiondiffusion equations, where the conventional logistic term for the reproduction rate is replaced by some integral ...
V. Volpert
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Splitting spectral element method for fractional reaction-diffusion equations
Journal of Algorithms & Computational Technology, 2020 In this paper, we propose a second-order operator splitting spectral element method for solving fractional reaction-diffusion equations. In order to achieve a fast second-order scheme in time, we decompose the original equation into linear and nonlinear ...
Qi Li, Fangying Song
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Asymptotic Behavior of Stochastic Reaction–Diffusion Equations
MathematicsIn this paper, we concentrate on the propagation dynamics of stochastic reaction–diffusion equations, including the existence of travelling wave solution and asymptotic wave speed. Based on the stochastic Feynman–Kac formula and comparison principle, the
Hao Wen +3 more
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, 2006 In the first part of this paper math-ph/0612078, a complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived.
Ames W F +24 more
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On a Nonlinear System of Reaction-Diffusion Equations
Nonlinear Analysis, 2006 The aim of this article is to study the existence of positive weak solution for a quasilinear reaction-diffusion system with Dirichlet boundary conditions, − div |∇u1| p1−2∇u1 = λuα11 1 u α12 2 ...
G. A. Afrouzi, S. H. Rasouli
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Attractor of reaction-diffusion equations in Banach spaces
Applied General Topology, 2001 In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space Lp is used as
José Valero
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FEBS Letters, EarlyView.Structural and biochemical characterisations show that the planar cell polarity (PCP) protein Inturned harbours a unique PDZ‐like domain that does not bind canonical PDZ‐binding motifs (PBMs) like that of another PCP protein Vangl2. In contrast, the apical‐basal polarity protein Scribble contains four PDZ domains that bind Vangl2, but one PDZ domain ...
Stephan Wilmes +4 more
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On Nonlinear Nonlocal Systems of Reaction Diffusion Equations
Abstract and Applied Analysis, 2014 The reaction diffusion system with anomalous diffusion and a balance law ut+-Δα/2u=-fu,v, vt+-∆β/2v=fu,v ...
B. Ahmad +4 more
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Time Fractional Fisher–KPP and Fitzhugh–Nagumo Equations
Entropy, 2020 A standard reaction–diffusion equation consists of two additive terms, a diffusion term and a reaction rate term. The latter term is obtained directly from a reaction rate equation which is itself derived from known reaction kinetics, together with ...
Christopher N. Angstmann, Bruce I. Henry
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Instability of Turing patterns in reaction-diffusion-ODE systems
, 2016 The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations.
Karch, Grzegorz +2 more
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