Kinetic‐fluid derivation and mathematical analysis of the cross‐diffusion–Brinkman system
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.5139
Abstract: In this paper, we propose a new nonlinear model describing dynamical interaction of two species within viscous flow. The proposed model is a cross-diffusion system coupled with Brinkman problem written in terms of velocity fluid,… read more here.
Keywords: fluid; kinetic fluid; cross diffusion; system ... See more keywords
A time‐fractional competition ecological model with cross‐diffusion
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DOI: 10.1002/mma.6260
Abstract: This paper is concerned with some mathematical and numerical aspects of a Lotka‐Volterra competition time‐fractional reaction‐diffusion system with cross‐diffusion effects. First, we study the existence of weak solutions of the model following the well‐known Faedo‐Galerkin… read more here.
Keywords: diffusion; model; time fractional; cross diffusion ... See more keywords
Finite element method for solving Keller–Segel chemotaxis system with cross-diffusion
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-017-0335-5
Abstract: This paper presents a finite element method for nonlinear parabolic–parabolic system of partial differential equations, which describe the chemotactic features, called a Keller–Segel system with additional cross-diffusion term in the second equation. Firstly a semi-implicit… read more here.
Keywords: finite element; system; element method; cross diffusion ... See more keywords
Heat and mass transfer analysis of MHD couple stress fluid flow through expanding or contracting porous pipe with cross diffusion effects
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Dynamics and Control"
DOI: 10.1007/s40435-019-00545-6
Abstract: AbstractThis article investigates the effects of an incompressible laminar magnetohydrodynamic flow of couple stress fluid through an expanding or contracting porous pipe with cross diffusion has been considered. It is assumed that the pipe wall… read more here.
Keywords: couple stress; expanding contracting; stress fluid; fluid ... See more keywords
Nonexistence of nonconstant steady-state solutions in a triangular cross-diffusion model
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.01.017
Abstract: Abstract In this paper we study the Shigesada–Kawasaki–Teramoto model for two competing species with triangular cross-diffusion. We determine explicit parameter ranges within which the model exclusively possesses constant steady state solutions. read more here.
Keywords: model; state solutions; steady state; triangular cross ... See more keywords
About the entropic structure of detailed balanced multi-species cross-diffusion equations
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DOI: 10.1016/j.jde.2018.09.020
Abstract: This paper links at the formal level the entropy structure of a multi-species cross-diffusion system of Shigesada-Kawasaki-Teramoto (SKT) type satisfying the detailed balance condition with the entropy structure of a reversible microscopic many-particle Markov process… read more here.
Keywords: multi species; species cross; structure; equations entropic ... 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
Patterns induced by super cross-diffusion in a predator-prey system with Michaelis-Menten type harvesting.
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical biosciences"
DOI: 10.1016/j.mbs.2018.02.002
Abstract: Turing instability and pattern formation in a super cross-diffusion predator-prey system with Michaelis-Menten type predator harvesting are investigated. Stability of equilibrium points is first explored with or without super cross-diffusion. It is found that cross-diffusion… read more here.
Keywords: cross diffusion; diffusion; diffusion predator; super cross ... See more keywords
Stability analysis of predator–prey models involving cross-diffusion
Sign Up to like & getrecommendations! Published in 2019 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2019.06.007
Abstract: Abstract In this paper we have considered a three dimensional system of partial differential equations to model the dynamical interactions of two predators competing for a single prey. The model is developed by introducing cross… read more here.
Keywords: stability analysis; diffusion; cross diffusion; prey ... See more keywords
Cross-diffusion induced patterns for a single-step enzymatic reaction
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DOI: 10.1038/s42005-020-00427-w
Abstract: Several different enzymes display an apparent diffusion coefficient that increases with the concentration of their substrate. Moreover, their motion becomes directed in substrate gradients. Currently, there are several competing models for these transport dynamics. Here,… read more here.
Keywords: single step; enzymatic reaction; diffusion; substrate ... See more keywords
An on-demand bench-top fabrication process for fluidic chips based on cross-diffusion through photopolymerization.
Sign Up to like & getrecommendations! Published in 2020 at "Biomicrofluidics"
DOI: 10.1063/5.0014956
Abstract: In this paper, we propose a novel approach to fabricate fluidic chips. The method utilizes molecular cross-diffusion, induced by photopolymerization under ultraviolet (UV) irradiation in a channel pattern, to form the channel structures. During channel… read more here.
Keywords: fluidic chips; photopolymerization; cross diffusion; fabrication process ... See more keywords