Abstract Assuming that 0< χ< 2 n, κ≥ 0 and μ> n− 2 2 n, we prove global existence of
classical solutions to a chemotaxis system slightly generalizing ut= Δ u− χ∇⋅(uv∇ v)+ κ u …

The Keller-Segel model for chemotaxis is a prototype of nonlocal systems describing
concentration phenomena in physics and biology. While the two-dimensional theory is by …

One of the most important systems for understanding chemotactic aggregation is the Keller–
Segel system. We consider the time‐fractional Keller–Segel system of order. We prove an …

Multiplicative noise removal from texture images poses a significant challenge. Different
from the diffusion equation-based filter, we consider the telegraph diffusion equation-based …

Critical Keller–Segel meets Burgers on : large- time smooth solutions Page 1 Nonlinearity
PAPER Critical Keller–Segel meets Burgers on : largetime smooth solutions To cite this article …

The long range movement of certain organisms in the presence of a chemoattractant can be
governed by long distance runs, according to an approximate Lévy distribution. This article …

In this paper we consider a fractional parabolic–elliptic Keller–Segel system with a logistic
source on R N. First, we establish the regularity of weak solutions of the fractional parabolic …

In this paper we consider a $ d $-dimensional ($ d= 1, 2$) parabolic-elliptic Keller-Segel
equation with a logistic forcing and a fractional diffusion of order $\alpha\in (0, 2) $. We …

This paper deals with the coupled chemotaxis-haptotaxis model with gradient-dependent
flux-limitation {ut= Δ u− χ∇⋅(u|∇ v| p− 2∇ v)− ξ∇⋅(u∇ w)+ μ u (1− u− w), x∈ Ω, t> 0, 0= Δ …

In this paper, we investigate the generalized Keller–Segel system with two fractional
parabolic equations and a classical elliptic equation in R n with n⩾ 2. We develop a …