We show that there exist traveling wave solutions of the Keller-Segel-FKPP equation, which
models a diffusing and logistically growing population subject to chemotaxis. In contrast to …

We examine a general model for the Fisher-KPP (FKPP) equation with nonlocal advection.
The main interpretation of this model is as describing a diffusing and logistically growing …

We consider the traveling wave speed for Fisher-KPP (FKPP) fronts under the influence of
repulsive chemotaxis and provide an almost complete picture of its asymptotic dependence …

This paper aims to investigate the time fractional Keller‐Segel system with a small
parameter. After the fractional order traveling wave transformation, the heteroclinic orbit of …

In this paper, we derive a variant of the classical Keller–Segel model of chemotaxis
incorporating a growth term of logistic type for the cell population, say with, and a …

We investigate a minimal model for cell propagation involving migration along self-
generated signaling gradients and cell division, which has been proposed in an earlier …

We consider the traveling wave speed for Fisher-KPP (FKPP) fronts under the influence of
repulsive chemotaxis and provide an almost complete picture of its asymptotic dependence …

We consider a coupled reaction–advection–diffusion system based on the Fisher-KPP and
Burgers equations. These equations serve as a one-dimensional version of a model for a …

This paper focuses on how to approximate traveling wave solutions for various kinds of
partial differential equations via artificial neural networks. A traveling wave solution is hard to …

In this paper, we show how the chemotactic model∂ t ρ= d 1 Δ x ρ−∇ x·(ρ∇ xc)∂ tc= d 2 Δ
xc+ F (ρ, c,∇ x ρ,∇ xc, Δ x ρ)\left {_t ρ &# x0003D; d _1 Δ _x ρ-∇ _x .\left (ρ ∇ …