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   Articles with "cross diffusion" as a keyword



Kinetic‐fluid derivation and mathematical analysis of the cross‐diffusion–Brinkman system

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recommendations! 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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recommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"

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

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recommendations! 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

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recommendations! 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

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recommendations! 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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recommendations! Published in 2019 at "Journal of Differential Equations"

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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recommendations! Published in 2021 at "Journal of Differential Equations"

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.

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recommendations! 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

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recommendations! 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

Spatio-temporal behaviour of SIR models with cross-diffusion and vital dynamics

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recommendations! Published in 2024 at "European Journal of Applied Mathematics"

DOI: 10.1017/s095679252400086x

Abstract: Contemporary epidemiological models often involve spatial variation, providing an avenue to investigate the averaged dynamics of individual movements. In this work, we extend a recent model by Vaziry, Kolokolnikov, and Kevrekidis [Royal Society Open Science… read more here.

Keywords: temporal behaviour; vital dynamics; cross diffusion; model ... See more keywords

Cross-diffusion induced patterns for a single-step enzymatic reaction

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recommendations! Published in 2020 at "Communications Physics"

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