Error estimates and free-boundary convergence for a finite difference discretization of a parabolic variational inequality
Error estimates for a FitzHugh–Nagumo parameter-dependent reaction-diffusion system
Space-time approximations of the FitzHugh–Nagumo system of coupled semi-linear parabolic PDEs are examined. The schemes under consideration are discontinuous in time but conforming in space and of arbitrary order. Stability estimates are presented in the natural energy norms and at arbitrary times, under minimal regularity assumptions. Space-time error estimates of arbitrary order are derived, provided that the natural parabolic regularity is present. Various physical parameters appearing in the...
Error estimates for a FitzHugh–Nagumo parameter-dependent reaction-diffusion system
Space-time approximations of the FitzHugh–Nagumo system of coupled semi-linear parabolic PDEs are examined. The schemes under consideration are discontinuous in time but conforming in space and of arbitrary order. Stability estimates are presented in the natural energy norms and at arbitrary times, under minimal regularity assumptions. Space-time error estimates of arbitrary order are derived, provided that the natural parabolic regularity is present....
Estimates of solutions of impulsive parabolic equations and applications to the population dynamics.
A theorem on estimates of solutions of impulsive parabolic equations by means of solutions of impulsive ordinary differential equations is proved. An application to the population dynamics is given.
Étude d'un processus d'auto-organisation
Evidence of intermittency in the local field potentials recorded from patients with Parkinson's disease: a wavelet-based approach.
Evidence that natural immunity to breast cancer and prostate cancer exists in the majority of their risk populations is predicted by a novel, inherently saturated, ordered mutation model.
Évolution des protéines et du code génétique
Evolution in a changing environment: existence of solutions
We establish the existence of solutions of an intrinsically nonlinear differential-integral equation that arises from the mathematical modelling of the evolution of an asexual population in a changing environment. The main objective is to pave the way for a rigorous analysis of the linear stability of travelling wave solutions of the corresponding problem.
Evolution in a migrating population model
We consider a model of migrating population occupying a compact domain Ω in the plane. We assume the Malthusian growth of the population at each point x ∈ Ω and that the mobility of individuals depends on x ∈ Ω. The evolution of the probability density u(x,t) that a randomly chosen individual occupies x ∈ Ω at time t is described by the nonlocal linear equation , where φ(x) is a given function characterizing the mobility of individuals living at x. We show that the asymptotic behaviour of u(x,t)...
Evolution in random environment and structural instability.
Evolutionary distributions in adaptive space.
Evolving morphogenetic fields in the zebra skin pattern based on Turing's morphogen hypothesis
One of the classical problems of morphogenesis is to explain how patterns of different animals evolved resulting in a consolidated and stable pattern generation after generation. In this paper we simulated the evolution of two hypothetical morphogens, or proteins, that diffuse across a grid modeling the zebra skin pattern in an embryonic state, composed of pigmented and nonpigmented cells. The simulation experiments were carried out applying a genetic algorithm to the Young cellular automaton: a...
Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations.
Exact representations for tumour incidence for some density-dependent models.
Exact solution of convective mass transfer model for calcium response of endothelium.
Examen du mode d'élection proposé à la Convention Nationale de France en février 1793, et adopté à Genève
Existence and asymptotics of solutions of the Debye-Nernst-Planck system in ℝ²
We investigate a system describing electrically charged particles in the whole space ℝ². Our main goal is to describe large time behavior of solutions which start their evolution from initial data of small size. This is achieved using radially symmetric self-similar solutions.
Existence and attractivity of periodic solutions to Cohen-Grossberg neural network with distributed delays.
Existence and exponential stability for anti-periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays.