Single blowup point for a semilinear reaction‐diffusion system
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201400335
Abstract: Throughout this paper, we investigate the blowup set for the semilinear reaction‐diffusion system ut=Δu+f(u,v),x∈Ω,t>0,vt=Δv+g(u,v),x∈Ω,t>0,u(x,t)=v(x,t)=0,x∈∂Ω,t>0,u(x,0)=u0(x),v(x,0)=v0(x),x∈Ω,where Ω=BR:={x∈Rn;|x| read more here.
Keywords: semilinear reaction; reaction diffusion; diffusion system; blowup ... See more keywords
Nonnegative solutions to reaction–diffusion system with cross‐diffusion and nonstandard growth conditions
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6401
Abstract: We establish the existence of nonnegative weak solutions to nonlinear reaction–diffusion system with cross‐diffusion and nonstandard growth conditions subject to the homogeneous Neumann boundary conditions. We assume that the diffusion operators satisfy certain monotonicity condition… read more here.
Keywords: nonstandard growth; diffusion; diffusion system; growth conditions ... See more keywords
Extended Global Asymptotic Stability Conditions for a Generalized Reaction–Diffusion System
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DOI: 10.1007/s10440-018-0191-0
Abstract: In this paper, we consider the general reaction–diffusion system proposed in Abdelmalek and Bendoukha (Nonlinear Anal., Real World Appl. 35:397–413, 2017) as a generalization of the original Lengyel–Epstein model developed for the revolutionary Turing-type CIMA… read more here.
Keywords: system; asymptotic stability; reaction diffusion; global asymptotic ... See more keywords
Spreading speeds for a two-species competition-diffusion system
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DOI: 10.1016/j.jde.2017.10.017
Abstract: Abstract In this paper, spreading properties of a competition-diffusion system of two equations are studied. This system models the invasion of an empty favorable habitat, by two competing species, each obeying a logistic growth equation,… read more here.
Keywords: diffusion system; two species; system; competition diffusion ... See more keywords
Controllability of a 4 × 4 quadratic reaction–diffusion system
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DOI: 10.1016/j.jde.2018.08.046
Abstract: We consider a 4 × 4 nonlinear reaction-diffusion system posed on a smooth domain Ω of R N (N ≥ 1) with controls localized in some arbitrary nonempty open subset ω of the domain Ω.… read more here.
Keywords: system; diffusion system; reaction diffusion; diffusion ... See more keywords
Solvability for a drift-diffusion system with Robin boundary conditions
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DOI: 10.1016/j.jde.2019.03.015
Abstract: Abstract This paper focuses on a drift-diffusion system subjected to boundedly non dissipative Robin boundary conditions. A general existence result with large initial conditions is established by using suitable L 1 , L 2 and… read more here.
Keywords: drift diffusion; diffusion system; robin boundary; boundary conditions ... See more keywords
Boundedness in a haptotactic cross-diffusion system modeling oncolytic virotherapy
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DOI: 10.1016/j.jde.2020.07.032
Abstract: Abstract This paper is concerned with a haptotactic cross-diffusion system as the model for oncolytic virotherapy, which describes the influence of the extracellular matrix (ECM) taxis over the tumor-oncolytic virus interaction in the form of… read more here.
Keywords: system; diffusion system; oncolytic virotherapy; haptotactic cross ... See more keywords
Spirals in a reaction-diffusion system: Dependence of wave dynamics on excitability.
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review E"
DOI: 10.1103/physreve.97.022206
Abstract: A detailed study of the effects of excitability of the Belousov-Zhabotinsky (BZ) reaction on spiral wave properties has been carried out. Using the Oregonator model, we explore the various regimes of wave activity, from sustained… read more here.
Keywords: system; spirals reaction; system dependence; reaction diffusion ... See more keywords
Nonequilibrium transition and pattern formation in a linear reaction-diffusion system with self-regulated kinetics.
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DOI: 10.1103/physreve.97.022213
Abstract: We consider a reaction-diffusion system with linear, stochastic activator-inhibitor kinetics where the time evolution of concentration of a species at any spatial location depends on the relative average concentration of its neighbors. This self-regulating nature… read more here.
Keywords: pattern formation; linear reaction; reaction diffusion; reaction ... See more keywords
A periodic reaction–diffusion system modelling man–environment–man epidemics
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524517500747
Abstract: The purpose of this work is to study the spatial dynamics of a periodic reaction–diffusion epidemic model arising from the spread of oral–faecal transmitted diseases. We first show that the disease spreading speed is coincident… read more here.
Keywords: man; reaction diffusion; periodic reaction; diffusion system ... See more keywords