Results 11 to 20 of about 5,278,448 (205)
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
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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
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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
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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
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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
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Cross-Diffusion Driven Instability in a Predator-Prey System with Cross-Diffusion [PDF]
Acta Applicandae Mathematicae, 2014 15 pages, 5 ...
Tulumello, E. +2 more
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Erlang-Distributed SEIR Epidemic Models with Cross-Diffusion
Mathematics, 2023 We explore the effects of cross-diffusion dynamics in epidemiological models. Using reaction–diffusion models of infectious disease, we explicitly consider situations where an individual in a category will move according to the concentration of ...
Victoria Chebotaeva, Paula A. Vasquez
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 We focus on a system of two competing species with cross-diffusion and self-diffusion. By constructing an appropriate auxiliary function, we derive the sufficient conditions such that there are no coexisting steady-state solutions to the model.
Ningning Zhu
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Stationary patterns of a ratio-dependent predator-prey system with cross-diffusion
Mathematical Modelling and Analysis, 2011 This paper is concerned with a ratio-dependent predator-prey system with diffusion and cross-diffusion in a bounded domain with no flux boundary condition. We establish the existence and non-existence of non-constant positive steady states (patterns). In
Yu-Xia Wang, Wan-Tong Li, Hong-Bo Shi
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Dynamics of a Leslie-Gower predator-prey system with cross-diffusion
Electronic Journal of Qualitative Theory of Differential Equations, 2020 A Leslie–Gower predator–prey system with cross-diffusion subject to Neumann boundary conditions is considered. The global existence and boundedness of solutions are shown.
Rong Zou, Shangjiang Guo
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