This paper proposes a review focused on exotic chemotaxis and cross-diffusion models in
complex environments. The term exotic is used to denote the dynamics of models interacting …

This paper proposes a survey and critical analysis focused on a variety of chemotaxis
models in biology, namely the classical Keller–Segel model and its subsequent …

This paper proposes a review and critical analysis of the asymptotic limit methods focused
on the derivation of macroscopic equations for a class of equations modeling complex …

In this study, fractional order is applied to the glioblastoma multiforme (GBM) and IS
interaction models. The monoclonal brain tumor GBM gives rise to other tumors with varying …

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≥ …

We provide a class of fractional‐order differential models of biological systems with memory,
such as dynamics of tumor‐immune system and dynamics of HIV infection of CD4+ T cells …

A critical blow-up exponent in a chemotaxis system with nonlinear signal production Page 1
Nonlinearity PAPER A critical blow-up exponent in a chemotaxis system with nonlinear signal …

This paper deals with the coupled chemotaxis–haptotaxis model {ut= Δ u− χ∇⋅(u∇ v)−
ξ∇⋅(u∇ w)+ μ u (1− u− w), x∈ Ω, t> 0, 0= Δ v+ u− v, x∈ Ω, t> 0, wt=− v w+ η w (1− w− u) …

Physiological and pathological processes of living soft tissues always involve complicated
interplays of biological, chemical, mechanical, and physical cues. Understanding the …

This paper aims at indicating research perspectives on the mathematical modeling of crowd
dynamics, pointing on the one hand to insights into the complexity features of pedestrian …