We consider the attraction–repulsion chemotaxis system under homogeneous Neumann
boundary conditions in a bounded domain Ω⊂ ℝn with smooth boundary, where χ≥ 0, ξ≥ …

In this paper we extend the famous Keller–Segel model for the chemotactic movement of
motile species to some multi-species chemotaxis equations. The presented multi-species …

We study the behavior of two biological populations “u” and “v” attracted by the same
chemical substance whose behavior is described in terms of second order parabolic …

For the Keller–Segel model, it was conjectured by Childress and Percus (1984, Chemotactic
collapse in two dimensions. In Lecture Notes in Biomath. Vol. 55, Springer, Berlin …

A system of two classical chemotaxis equations, coupled with an elliptic equation for an
attractive chemical, is analyzed. Depending on the parameter values for the three respective …

In this paper we consider a system of three parabolic equations modeling the behavior of
two biological species moving attracted by a chemical factor. The chemical substance …

This paper deals with a two-competing-species chemotaxis system with consumption of
chemoattractant {ut= d 1 Δ u−∇⋅(u χ 1 (w)∇ w)+ μ 1 u (1− u− a 1 v), x∈ Ω, t> 0, vt= d 2 Δ …

The most important phenomenon in chemotaxis is cell aggregation. To model this
phenomenon we use spiky or transition layer (step-function-like) steady states. In the case of …

In this paper, we consider a system of three parabolic equations in high-dimensional
smoothly bounded domain... which describes the mutual competition between two …

Chemotaxis refers to mechanisms by which cellular motion occurs in response to an
external stimulus, usually a chemical one. Chemotaxis phenomenon plays an important role …