In this paper we focus on an attraction-repulsion chemotaxis model with consumed signals,
formulated in bounded and smooth domains $\Omega $ of $\R^ n $, with $ n\geq 2$. We …

The well-suited discretization of the Keller–Segel equations for chemotaxis has become a
very challenging problem due to the convective nature inherent to them. This paper aims to …

This paper aims to develop numerical approximations of the Keller–Segel equations that
mimic at the discrete level the lower bounds and the energy law of the continuous problem …

A fully finite element approximation of the Keller–Segel model, including self-and cross-
diffusion terms and a logistic source, has been considered. The existence of a fully finite …

We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws
for the diffusion of the cell density, and for the chemosensitivities and the production rates of …

This work is devoted to the theoretical and numerical analysis of a two-species chemotaxis-
Navier-Stokes system with Lotka-Volterra competitive kinetics in a bounded domain of R d …

In the present review we focus on the chemotaxis-consumption model $\partial_t u-\Delta u=-
\nabla\cdot (u\nabla v) $ and $\partial_t v-\Delta v=-u^ sv $ in $(0, T)\times\Omega $, for any …

In the present review we focus on the chemotaxis-consumption model∂ tu-Δ u=-∇·(u∇ v)
and∂ tv-Δ v=-usv in (0, T)× Ω, for any fixed s≥ 1, endowed with isolated boundary …

A linearized decoupled Crank–Nicolson (CN) fully discrete scheme is developed by
Galerkin FEM for a class of chemotactic models with nonlinear secretion. The scheme can …

This paper is devoted to the study of a time-discrete scheme and its corresponding fully
discretization approximating ad-dimensional chemotaxis model describing tumor invasion …