Results 251 to 260 of about 330,116 (279)

CROSS-DIFFUSION INDUCED INSTABILITY IN LVLEV–TANNER MODEL

International Journal of Biomathematics, 2011
A Lvlev–Tanner model with cross-diffusion is considered. We analyze the positive uniform steady state and obtain conditions on the parameter values such that the homogeneous steady state is locally asymptotically stable both in the related ODE system and in the PDE system with self-diffusion.
Gan, Wenzhen, Zhu, Peng, Bao, Jie
openaire   +1 more source

Two ways of modelling cross-diffusion

Nonlinear Analysis: Theory, Methods & Applications, 1997
Two substances with densities \(u(t,x)\), \(v(t,x)\) at time \(t\) and place \(x\) are considered. The substance \(u\) flows from places where its density is high towards the density is low; the substance \(v\) has an attracting or repelling effect on \(u\). By a standard procedure it is obtained the system \[ u_t=f(u,v) +\text{div} (d_{11} \text{gradu}
openaire   +2 more sources

Negative ionic cross diffusion coefficients in electrolytic solutions

Journal of Theoretical Biology, 1975
All existing experimental examples of oscillating homogeneous chemical reactions and dissipative structures involve ionic systems. The linear stability analysis is applied to electrolytic solutions by including diffusion potential and ionic migration effects.
openaire   +2 more sources

Cross-diffusion models in population dynamics

2019
This work focuses on the so-called SKT model, a non-linear cross-diusion model which aims at modelling the (time and space dependent) density functions of two interacting species in the eld of population dynamics. This model was published by Nanako Shigesada, Kohkichi Kawasaki and Ei Teramoto in 1979.
openaire   +1 more source

Cross Diffusion Systems

2022
openaire   +1 more source

Stabilization of 3D/2D perovskite heterostructures via inhibition of ion diffusion by cross-linked polymers for solar cells with improved performance

Nature Energy, 2023
Zaiwei Wang, Zheng Hong Lu, Deying Luo
exaly  

Bifurcation and turing instability for a predator-prey model with nonlinear reaction cross-diffusion

Applied Mathematical Modelling, 2021
Pengmiao Hao
exaly  

Diffusion barrier segments the stalk

Nature Reviews Microbiology, 2012
Andrew Jermy
exaly  

Cross Diffusion

2018
openaire   +1 more source

Cross relaxation and spin diffusion in the proton NMR of hydrated collagen

Nature, 1977
Edward T Samulski
exaly