<p style='text-indent:20px;'>We investigate the formation of stationary patterns in FitzHugh-Nagumo reaction-diffusion system with linear cross-diffusion terms. We focus our analysis on effects Turing mechanism. Linear stability indicates that positive values inhibitor enlarge region parameter space where a instability is excited. A sufficiently large coefficient removes requirement impos...

Introduction Diffusion-weighted (DW) spectroscopy is a unique tool for exploring the intracellular micro-environment in vivo [1]. In living systems, diffusion is generally anisotropic, since biological membranes may exhibit some anisotropic orientation, and signal attenuation generally depends on the orientation of the gradients relative to the cellular orientation, diffusion being characterize...

Contextual studies of information technology diffusion offer an opportunity to understand both the production and diffusion of IT innovations. Using a case of mobile-TV in the United Kingdom, this paper uses actor network theory (ANT) to render context as the various cross-industry groups and technologies enrolled and translated into the construction and reinvention of the mobile-TV services. B...

Abstract. The global existence of a non-negative weak solution to a multi-dimensional parabolic strongly coupled model for two competing species is proved. The main feature of the model is that the diffusion matrix is non-symmetric and generally not positive definite and that the non-diagonal matrix elements (the cross-diffusion terms) are allowed to be “large”. The ideas of the existence proof...

This article is a survey of the theoretical questions arising in the development of a convergence theory and error analysis of synthesid methods for solving neutron dif fusion problems. For simplicity, we discuss convergence and the error analysis for spectral synthesis methods, in which the trial functions are functions solely of energy. The diffusion coefficient, the total and scattering cros...

<p style='text-indent:20px;'>In this paper, we study a cross-infection model with diffusion and incubation period. Firstly, prove the global attractivity of infection-free equilibrium infected for spatially homogeneous system. Secondly, establish threshold dynamics heterogeneous system in terms basic reproduction number <inline-formula><tex-math id="M1">\begin{document}$ \math...

Abstract The aim of this work is to propose a provably convergent finite volume scheme for the so-called Stefan–Maxwell model, which describes evolution composition multi-component mixture and reads as cross-diffusion system. proposed here relies on two-point flux approximation, preserves at discrete level some fundamental theoretical properties continuous models, namely non-negativity solution...