## Sem3 UAQ Agent-Based

Applications @ UAQ 30 ECTS credits

### Agent-based modelling and transport phenomena

The specialization track “Agent-based modelling and transport phenomena” will take place at the University of L’Aquila. The proposed curriculum covers newly developed mathematical modelling approaches, aiming at realizing practical solutions for smart and healthy communities. UAQ has longstanding collaborations with the Imperial College of London (UK) and with the University of Muenster (Germany) on many-agent modelling and mean-field limits in several branches of social sciences such as opinion formation, emergence of collective motion, and the social behaviour of largely crowded communities (the latter also in collaboration with the Universities of Catania and Ferrara, in Italy); the UAQ team has a longstanding expertise on "nonlocal aggregation models", an emerging subject in applied mathematical research with applications in particular to the modelling of criminal behaviour in urban areas. Important achievements have been also carried out at UAQ in the area of nonlinear conservation laws with applications to traffic modeling and population dynamics.

This track has three compulsory courses: “Advanced analysis” , providing tools to deepen the understanding of advanced nonlinear models; “Mathematical fluid dynamics”, featuring advanced analytical methods on classical and modern fluid-dynamical theories; “Mathematical model for collective behavior”, presenting a selection of topics in the modeling of collective motion in social sciences and of transport modeling in real world applications, particularly in urban and behavioural sciences.

The last two courses, "Biomathematics" and "System biology" (in collaboration with the IASI-CNR institute), specialise the student on "modelling in life sciences", which has become a classic topic in modern applied mathematics. Both of them present mathematical and modeling approach via ODEs, PDEs, and multiscale modelling, in contexts arising from modern applications such as population biology, medicine, and genetics.

Below you can find information about the subjects for this semester.

### Pick 1 sub-path

#### a) Modelling in Life Science