Results 1 to 10 of about 3,785,943 (309)
A Multispecies Cross-Diffusion Model for Territorial Development [PDF]
Mathematics, 2021 We develop an agent-based model on a lattice to investigate territorial development motivated by markings such as graffiti, generalizing a previously-published model to account for K groups instead of two groups.
Abdulaziz Alsenafi +1 more
doaj +5 more sources
Global Existence for some Cross Diffusion Systems with Equal Cross Diffusion/Reaction Rates [PDF]
Advanced Nonlinear Studies, 2020 We consider some cross diffusion systems which is inspired by models in mathematical biology/ecology, in particular the Shigesada–Kawasaki–Teramoto (SKT) model in population biology.
Le Dung
doaj +4 more sources
Cross-diffusion on multiplex networks
New Journal of Physics, 2020 During the past decades, pattern formulation with reaction–diffusion systems has attracted great research interest. Complex networks, from single-layer networks to more complicated multiplex networks, have made great contribution to the development of ...
Shupeng Gao +5 more
doaj +2 more sources
Stability of Weak Solutions to Parabolic Problems with Nonstandard Growth and Cross–Diffusion
Axioms, 2021 We study the stability of a unique weak solution to certain parabolic systems with nonstandard growth condition, which are additionally dependent on a cross-diffusion term.
André H. Erhardt
doaj +1 more source
Vanishing cross-diffusion limit in a Keller–Segel system with additional cross-diffusion [PDF]
Nonlinear Analysis, 2020 Keller-Segel systems in two and three space dimensions with an additional cross-diffusion term in the equation for the chemical concentration are analyzed. The cross-diffusion term has a stabilizing effect and leads to the global-in-time existence of weak solutions.
Jüngel, Ansgar +2 more
openaire +2 more sources
Mathematics, 2023 In this paper, we discuss the pattern dynamics of an SI epidemic model caused by spatial dependency, which is represented by self- and cross-diffusion terms.
Anita Triska +2 more
doaj +1 more source
Entropy, Duality, and Cross Diffusion [PDF]
SIAM Journal on Mathematical Analysis, 2014 This paper is devoted to the use of the entropy and duality methods for the existence theory of reaction-cross diffusion systems consisting of two equations, in any dimension of space. Those systems appear in population dynamics when the diffusion rates of individuals of two species depend on the concentration of individuals of the same species (self ...
Desvillettes, Laurent +2 more
openaire +3 more sources
Cross-Diffusion Modeling in Macroeconomics [PDF]
Differential Equations and Dynamical Systems, 2014 This paper deals with the stability properties of a closed market, where capital and labour force are acting like a predator-prey system in population-dynamics. The spatial movement of the capital and labour force are taken into account by cross-diffusion effect.
Balázsi, L., Kiss, Krisztina
openaire +4 more sources
Open Physics, 2021 This paper aims to examine the heat and mass characteristics for thermally stratified chemically heated, dissipative flow under the cross-diffusion and imposed Lorentz forces. A self-similar model is obtained employing suitable similarity transformations.
Adnan +5 more
doaj +1 more source
Science mapping on the cross-diffusion predator prey model: Scientometrics analysis [PDF]
ریاضی و جامعه, 2023 This study is a descriptive study with a scientometrics approach and the method of co-word analysis which analyzes scientific outputs in the field of the cross-diffusion predator prey model on the Web of Science from 1997 to September 11, 2022.
Marzieh Farshid, Razieh Farshid
doaj +1 more source