Results 31 to 40 of about 330,116 (279)
Exhibiting cross-diffusion-induced patterns for reaction-diffusion systems on evolving domains and surfaces [PDF]
, 2014 The aim of this manuscript is to present for the first time the application of the finite element method for solving reaction-diffusion systems with cross-diffusion on continuously evolving domains and surfaces.
A. Madzvamuse +9 more
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Weak solutions to Allen-Cahn-like equations modelling consolidation of porous media [PDF]
, 2016 We study the weak solvability of a system of coupled Allen--Cahn--like equations resembling cross--diffusion which is arising as a model for the consolidation of saturated porous media.
Cirillo, Emilio Nicola Maria +2 more
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Backward Parabolicity, Cross-Diffusion and Turing Instability [PDF]
Journal of Nonlinear Science, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moussa, Ayman +2 more
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Mathematics, 2020 A simple mathematical model capable of reproducing formation of small-scale spatial structures in prey–predator system is presented. The migration activity of predators is assumed to be determined by the degree of their satiation. The hungrier individual
Yuri V. Tyutyunov +2 more
doaj +1 more source
Mathematics, 2022 In this paper, we consider a Leslie–Gower cross diffusion predator–prey model with a strong Allee effect and hunting cooperation. We mainly investigate the effects of self diffusion and cross diffusion on the stability of the homogeneous state point and ...
Meng Zhu, Jing Li, Xinze Lian
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Advances in Nonlinear Analysis, 2019 In bounded n-dimensional domains Ω, the Neumann problem for the parabolic ...
Winkler Michael
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Boundary Value Problems, 2017 Spatiotemporal patterns driven by cross-diffusion of a uni-directional consumer-resource (C-R) system with Holling-II type functional response are investigated in this paper.
Renji Han, Binxiang Dai
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Diffusion, Self-Diffusion and Cross-Diffusion
Journal of Differential Equations, 1996 The following system, which determines steady-state solutions for a corresponding parabolic system, is considered: \[ \begin{aligned} \Delta[(d_1+\alpha_{11}u_1+\alpha_{12}u_2)u_1] &+u_1(a_1-b_1u_1-c_1u_2)=0,\\ \Delta[(d_2+\alpha_{21}u_1+\alpha_{22}u_2)u_2] &+u_2(a_2-b_2u_1-c_2u_2)=0\quad\text{in }\Omega,\end{aligned} \] \[ {\partial u_1\over\partial ...
Lou, Yuan, Ni, Wei-Ming
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Multi-taxis Cross-Diffusion System
, 2022 AbstractMulti-taxis appears in society interactions and cancer treatment. Society interactions can lead to the complex dynamical behavior in biology and even in criminology ([43, 65, 190]).
Yuanyuan Ke, Jing Li, Yifu Wang
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Envelope Quasisolitons in Dissipative Systems with Cross-Diffusion [PDF]
Physical Review Letters, 2011 We consider two-component nonlinear dissipative spatially extended systems of reaction-cross-diffusion type. Previously, such systems were shown to support "quasi-soliton" pulses, which have fixed stable structure but can reflect from boundaries and penetrate each other.
Biktashev, V. N., Tsyganov, M. A.
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