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≥ …

Oscillatory behavior is ubiquitous in out-of-equilibrium systems showing spatiotemporal
pattern formation. Starting from a linear large-scale oscillatory instability—a conserved-Hopf …

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 …

In this article we investigate a parabolic–parabolic-elliptic two-species chemotaxis system
with weak competition and show global asymptotic stability of the coexistence steady state …

This paper deals with the two-species chemotaxis-competition system..., where Ω is a
bounded domain in Rn with smooth boundary∂ Ω, n∈ N; h, χ< sub> i are functions …

This paper deals with the two-species chemotaxis-Navier–Stokes system with Lotka–
Volterra competitive kinetics {(n 1) t+ u⋅∇ n 1= Δ n 1− χ 1∇⋅(n 1∇ c)+ μ 1 n 1 (1− n 1− a 1 …

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 …

We propose a minimal model of predator–swarm interactions which captures many of the
essential dynamics observed in nature. Different outcomes are observed depending on the …

This paper presents a systematic existence and uniqueness theory of weak measure
solutions for systems of non-local interaction PDEs with two species, which are the PDE …

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 …