This paper presents a survey and critical analysis of the mathematical literature on modeling
and simulation of human crowds taking into account behavioral dynamics. The main focus is …

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 is devoted to the multidisciplinary modelling of a pandemic initiated by an
aggressive virus, specifically the so-called SARS–CoV–2 Severe Acute Respiratory …

Abstract The Keller–Segel–Navier–Stokes system (⋆){n t+ u⋅∇ n= Δ n− χ∇⋅(n∇ c)+ ρ n− μ
n 2, c t+ u⋅∇ c= Δ c− c+ n, u t+(u⋅∇) u= Δ u+∇ P+ n∇ ϕ+ f (x, t),∇⋅ u= 0, is considered in …

This paper presents a survey of advanced concepts and research perspectives, of a
philosophical-mathematical approach to describe the dynamics of systems of many …

This paper focuses on Herbert A. Simon's visionary theory of the Artificial World. The artificial
world evolves over time as a result of various actions, including interactions with the external …

This paper addresses some preliminary steps toward the modeling and qualitative analysis
of swarms viewed as living complex systems. The approach is based on the methods of …

A class of chemotaxis-Stokes systems generalizing the prototype {n t+ u⋅∇ n=∇⋅(nm− 1∇
n)−∇⋅(n∇ c), c t+ u⋅∇ c= Δ c− nc, u t+∇ P= Δ u+ n∇ ϕ,∇⋅ u= 0, is considered in …

This paper deals with the Keller–Segel–Navier–Stokes system nt+ u⋅∇ n= Δ n−∇⋅(n S (x,
n, c)⋅∇ c),<? A3B2 [rowsep= 4pt]?> ct+ u⋅∇ c= Δ c− c+ n,<? A3B2 [rowsep= 4pt]?> …

This paper presents a qualitative analysis of a model describing the time and space
dynamics of a virus which migrates driven by chemotaxis. The initial-boundary value …