This review paper is devoted to study the conceptual difficulties that mathematics meets
when attempting to describe the complexity of living matter focusing on the challenging …

The employment of nonlocal PDE models to describe biological aggregation and other
phenomena has gained considerable traction in recent years. For cell populations, these …

This paper shows how a new theory of epidemics can be developed for viral pandemics in a
globally interconnected world. The study of the in-host dynamics and, in parallel, the spatial …

This manuscript considers the no-flux initial-boundary problem for the migration-
consumption system {ut= Δ (u ϕ (v)), vt= Δ v− uv,(⋆) in a smoothly bounded domain Ω⊂ R n …

We propose a machine learning framework for the data-driven discovery of macroscopic
chemotactic Partial Differential Equations (PDEs)—and the closures that lead to them-from …

This paper deals with the micro–macro-derivation of virus models coupled with a reaction–
diffusion system that generates the dynamics in space of the virus particles. The first part of …

An initial-boundary value problem for a coupled chemotaxis-Navier–Stokes model with
porous medium type diffusion is considered. Previous related literature has provided …

We consider a parabolic-parabolic chemotaxis system with singular chemotactic sensitivity
and source functions, which is originally introduced by Short et al to model the spatio …

This paper focuses on a simplified variant of the Short et al. model, which is originally
introduced by Rodríguez, and consists of a system of two coupled reaction–diffusion-like …

This paper is concerned with the higher-dimensional haptotactic system modeling oncolytic
virotherapy, which was initially proposed by Alzahrani–Eftimie–Trucu [Multiscale modelling …