We recount and discuss some of the most important methods and blow-up criteria for
analyzing solutions of Keller-Segel chemotaxis models. First, we discuss the results …

We study this zero-flux attraction–repulsion chemotaxis model, with linear and superlinear
production g for the chemorepellent and sublinear rate f for the chemoattractant:(♢) ut= Δ u …

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 …

This work deals with a fully parabolic chemotaxis model with nonlinear production and
chemoattractant. The problem is formulated on a bounded domain and, depending on a …

Nonhomogeneous linear systems of second order differential equations with pure delay and
multiple delays are considered. Representations of their solutions without a commutativity …

In this paper, non-perturbed and perturbed systems of non-linear differential equations with
multiple constant delays are considered. Five new theorems on the qualitative properties of …

In continuous applications in electrodynamics, neural networks, quantum mechanics,
electromagnetism, and the field of time symmetric, fluid dynamics, neutral differential …

This paper is dedicated to the attraction‐repulsion chemotaxis‐system⋄ \Diamond ut= Δ u−
χ∇·(u∇ v)+ ξ∇·(u∇ w) in Ω×(0, T max), 0= Δ v+ f (u)− β v in Ω×(0, T max), 0= Δ w+ g (u)− δ …

Purpose The purpose of this paper is to investigate the effects of irregular unsettling on the
smoking model in form of the stochastic model as in the deterministic model these effects are …

Oscillation and symmetry play an important role in many applications such as engineering,
physics, medicine, and vibration in flight. In this work, we obtain sufficient and necessary …