In this paper we study a general class of hybrid mathematical models of collective motions of
cells under the influence of chemical stimuli. The models are hybrid in the sense that cells …

In this paper we propose and study a hybrid discrete–continuous mathematical model of
collective motion under alignment and chemotaxis effect. Starting from paper [23], in which …

A general class of hybrid models has been introduced recently, gathering the advantages of
multiscale descriptions. Concerning biological applications, the particular coupled structure …

This paper derives well-posedness and asymptotic results that provide qualitative
information about the behavior, mechanism and strategies used by living organisms to …

On a coupled hybrid system of nonlinear differential equations with a nonlocal concentration -
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This paper introduces a general class of nonlinear system of fractional partial differential
equations with initial and boundary conditions. A hybrid method based on the …

In the mathematical modeling framework, the adoption of multiscale approaches provides a
better alternative to the well-known individual-based and continuum ones. From a …

Coupled hybrid models, gathering the advantages of multiscale approaches, are nowadays
spreading in the field of mathematical models for biological phenomena. The structure of the …

In this paper, the existence and uniqueness of weak solutions is established for a nonlinear
parabolic system arising in modelling of a catalytic cracking reactor. By applying the …

The thesis as a whole focus on mathematical models describing collective dynamics of
agents in different contexts. In the first part of this work, we study a distinct type of systems of …