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RESEARCH TOPICS

MATHEMATICAL MODELING OF EPIDEMIC DISEASES ON COMPLEX NETWORKS

2015 - ongoing

Understanding epidemics spreading processes on complex networks is a core question in the field of network science applied to epidemiology. In my research, I develop and study deterministic and stochastic epidemic models with a control-theoretic perspective. These works have been done in collaboration with B.D.O. Anderson, A. Burbano Lombana, M. Cao, C. Cenedese, M. Cucuzzella, F. Fagnani, K. Frieswijk, M. Nadini, F. Parino, M. Porfiri, A. Rizzo, J.M.A. Scherpen, A. van der Schaft, and M. Ye.

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MODELING HUMAN BEHAVIOR IN COMPLEX SOCIAL AND SOCIO-TECHNICAL SYSTEMS

2014 - ongoing

Mathematical models have emerged as powerful tools to describe and study the behavior of complex social systems. In my research, I focus on understanding the emergent behavior of a social community whose members dynamically  take collective decisions. My interests spans from experimental studies to support and validate the models, to the development of new theoretical models and their analysis. This research is done in collaboration with J.W. Bolderdijk, M. Cao, Z. Chen, H. Dehghani Aghbolagh, T. Hoffmann, F. Fagnani, B.M. Fennis, K. Frieswijk, T. Gao, F. Giardini, E. Krasner, Z. Mlakar, S. Morse, S. Nakayama, M. Porfiri, W.S. Rauws, A. Rizzo, H. Risselada, D. Vilone, and M. Ye

GAME-THEORETIC MODELS OF LEARNING PROCESSES

2017 - ongoing

We consider imitation dynamics for population games and we analyze their asymptotic properties. In these models, players have no global information about the game structure, and all they know is their own current utility and the one of fellow players contacted through pairwise interactions. This project is performed in collaboration with M. Cao, G. Como, R, Cuhna, F. Fagnani, A. Govaert, and E. Tegling.

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CONTROL OF COMPLEX MULTIAGENT SYSTEMS

2015 - ongoing

Control of multi-agent systems is a fascinating problem, which involves the design of control methods to efficiently steer a network of agents toward a desired state, deling with different types of dynamics (from consensus to evolutionary dynamics), stochasticity, communication constraints, cyberattacks, limited information, noise, and many other factors. On this project, I collaborate with B. Barzel, G. C. Calafiore, G. Como, W. Diao, W. He, F. Fagnani, Z. Lin, X. Peng, A. Rizzo, D. Tan, Q. Wang, M. Ye, J. Wu, and W. Zhong.

IDENTIFICATION OF TIME-VARYING SYSTEMS AND NETWORK RECONSTRUCTION

2018 - ongoing

Many complex systems are characterized by time-varying parameters and evolving patterns of interactions. These interactions comprise strong ties, driven by dyadic relationships, and weak ties, based on node-specific attributes, as well as a complex network structure. In my research, I focus on proposing new models to capture such a complexity and on developing tools for reconstructing the network structure and the system's parameters from empirical data, collaborating with. C. Bongiorno, G. C. Calafiore, G. Fracastoro, M. Porfiri, A. Rizzo and F. Surano.

Image by Alina Grubnyak
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MODELING AND CONTROL OF COVID-19

2020 - 2023

Since its inception in December 2019, the COVID-19 outbreak has rapidly spread, becoming a worldwide pandemic. In response to this unprecedented health crisis, we witnessed an extraordinary mobilization of the scientific community toward better understanding the novel disease and combating its spread. Within this joint effort, I work on the developing of mathematical models to predict the spreading of the disease and assess the effectiveness of different intervention policies, in collaboration with B. Behring, C. Bongiorno, S. Butail, G. C. Calafiore, M. Cao, E. Caroppo, K. Cordova-Pozo, A. Hagens, Z.-P. Jiang, F. Parino, M. Porfiri, M.J. Postma, A. Rizzo, M. Thakore, A. Truszkowska, J. van der Schans, J. Wilschut, and M. Ye.

COLLECTIVE BEHAVIOR IN COMPLEX TIME-VARYING NETWORKS

2017 - 2020

We study the emergence of consensus and collective behavior in complex social systems, characterized by a time-varying and heterogeneous network structure. Our results, spanning from experimental studies to unveil the emergence of leaders in a system to the theoretical analysis of collective motion have been done in collaboration with D.A. Burbano, J. Hasanyan, M. Porfiri, A. Rizzo, and A. Truszkowska.

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Research: Publications

MY COLLABORATORS

(in alphabetical order)

Brian D.O. Anderson, Brandon Behring, Jan Willem Bolderdijk, Christian Bongiorno, Daniel A. Burbano Lombana, Sachit Butail, Giuseppe Carlo Calafiore, Ming Cao, Emanuele Caroppo, Zhiyong Chen, Carlo Cenedese, Giacomo Como, Kathya Cordova-Pozo, Tan Dayu, Hassan Dehghani Aghbolagh, Michele Cucuzzella, Rafael Cuhna, Weilu Diao, Fabio Fagnani, Bob M. Fennis, Giulia Fracastoro, Kathinka Frieswijk, Giada Galati, Tianshu Gao, Francesca Giardini, Alain Govaert, Arnold Hagens, Jalil Hasanyan, Wangli He, Tabea Hoffmann, Zhong-Ping Jiang, Elisabeth Krasner, Zan Mlakar, A. Stephen Morse, Matthieu Nadini, Shinosuke Nakayama, Carlo Novara, Michele Pagone, Francesco Parino, Xin Peng, Maurizio Porfiri, Maarten Postma, Stefano Primatesta, Ward Rauws, Hans Risselada, Alessandro Rizzo, Francesco Surano, Emma Tegling, M. Thakore, Agnieszka Truszkowska, Jurjen van der Schans, Daniele Vilone, Qiang Wang, Jan Wilschut, Jinze Wu, Jiapeng Xu, Mengbin (Ben) Ye, Weimin Zhong

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Research: Text
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