Results 21 to 30 of about 330,116 (279)
Numerical solution of a malignant invasion model using some finite difference methods
Demonstratio Mathematica, 2023 In this article, one standard and four nonstandard finite difference methods are used to solve a cross-diffusion malignant invasion model. The model consists of a system of nonlinear coupled partial differential equations (PDEs) subject to specified ...
Appadu Appanah Rao +1 more
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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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Stability analysis of reaction-diffusion models on evolving domains: the effects of cross-diffusion [PDF]
, 2015 This article presents stability analytical results of a two component reaction-diffusion system with linear cross-diffusion posed on continuously evolving domains.
Barreira, Raquel +2 more
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Lie symmetries of the Shigesada-Kawasaki-Teramoto system [PDF]
, 2016 The Shigesada-Kawasaki-Teramoto system, which consists of two reaction-diffusion equations with variable cross-diffusion and quadratic nonlinearities, is considered.
Cherniha, Roman +2 more
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Rigorous mean-field limit and cross-diffusion [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2019 The mean-field limit in a weakly interacting stochastic many-particle system for multiple population species in the whole space is proved. The limiting system consists of cross-diffusion equations, modeling the segregation of populations. The mean-field limit is performed in two steps: First, the many-particle system leads in the large population limit
Li Chen, Esther S. Daus, Ansgar Jüngel
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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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Coaxial Cross-Diffusion through Carbon Nantoubes
The Journal of Physical Chemistry B, 2009 We present results from nonequilibrium molecular dynamics experiments describing the relaxation of local concentrations at two reservoirs, initially filled with water (W) and acetonitrile (ACN), as they become connected through a membrane composed of (16,16) carbon nanotubes.
Rodriguez, Javier +2 more
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A cross-diffusion system derived from a Fokker-Planck equation with partial averaging [PDF]
, 2016 A cross-diffusion system for two compoments with a Laplacian structure is analyzed on the multi-dimensional torus. This system, which was recently suggested by P.-L.
Jüngel, Ansgar, Zamponi, Nicola
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Mathematical analysis of toxin-phytoplankton-fish model with self-diffusion and cross-diffusion
Biomath, 2019 In this paper we propose a nonlinear reaction-diffusion system describing the interaction between toxin-producing phytoplankton and fish population. We analyze the effect of self- and cross-diffusion on the dynamics of the system.
Hamidou Ouedraogo +2 more
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