Crowd Dynamics by Kinetic Theory Modeling
暫譯: 基於動力學理論建模的人群動態學

這份簡短的講義內容專注於建模、模擬和應用，旨在提出一種統一的多尺度方法，考慮到人群中的物理學和心理學。這種建模方法基於活性粒子的數學理論，目標是為我們社會的福祉貢獻於安全問題，例如，通過支持在突發事件引發的複雜場地中的緊急撤離動態等關鍵情況下的危機管理。

Bouchra Aylaj, University of Hassan II of Casablanca
Bouchra Aylaj is an Associate Professor with Habilitation in mathematics at University of Hassan II of Casablanca, Faculty Ain Chock, Morocco. She started her career in 2006 when she was called to develop a research program on mathematical modelling in biology. Her scientific activity has been focused on the following topics: scientific computing and control for risk analysis and analytical and computational problems in epidemiology. Subsequently, she moved her scientific interests to the modeling and related safety problems focused on social behaviors in human crowds.

Nicola Bellomo, University of Granada
Nicola Bellomo is a distinguished professor at the University of Granada and Professor Emeritus at the Polytechnic University of Torino. He started his career in 1980 when he was called to cover the chair of mathematical physics and applied mathematics due to his scientific achievements on the mathematical theory of the Boltzmann equation and of stochastic differential equations. Subsequently, he moved his scientific interests to the study of living systems, becoming one of the pioneers of the development of active particles methods to the modeling of large systems of self-propelled interacting entities. He is author of two books published by Birkhauser devoted to this topic. In 2009, he delivered the prestigious Shank Lecture on the modeling of immune competition, and was awarded the “Third Level Honor” in 2016 for scientific merits by the President of the Italian Republic.

Livio Gibelli, University of Edinburgh
Livio Gibelli is a Lecturer in Mechanical Engineering at the University of Edinburgh. He received his Ph.D. in applied mathematics from the Politecnico di Milano and, prior to the current position, he worked as Research Fellow at the University of Warwick, Politecnico di Milano, Politecnico di Torino, and University of British Columbia. His main research interests include non-equilibrium multiphase fluid flows, the continuum description of slightly rarefied gases, the numerical methods for solving kinetic equations, and the modeling of crowd dynamics.

Damian Knopoff, Centro de Investigación y Estudios de Matematica (CONICET) and Famaf (UNC)
Damian Knopoff is a chemical engineer and mathematician, holding a Ph.D. in Mathematics from Cordoba National University. Currently, he is an Associate Researcher at the Argentinian Scientific and Technical Research Council. His main research fields include nonlinear dynamical systems and numerical methods for differential equations with applications to the modeling and simulation of complex living systems, including biological phenomena, socio-economic systems, and crowd dynamics.

Bouchra Aylaj，哈桑二世卡薩布蘭卡大學

Bouchra Aylaj 是哈桑二世卡薩布蘭卡大學（University of Hassan II of Casablanca）數學副教授，擁有資格認證，任教於摩洛哥的 Ain Chock 學院。她於 2006 年開始她的職業生涯，當時她被邀請開發一個關於生物學數學建模的研究計劃。她的科學活動主要集中在以下主題：風險分析的科學計算與控制，以及流行病學中的分析和計算問題。隨後，她將科學興趣轉向建模及相關的安全問題，專注於人群中的社會行為。



Nicola Bellomo，格拉納達大學

Nicola Bellomo 是格拉納達大學的傑出教授，並且是都靈理工大學的名譽教授。他於 1980 年開始他的職業生涯，因其在玻爾茲曼方程和隨機微分方程的數學理論方面的科學成就而被邀請擔任數學物理和應用數學的教授。隨後，他將科學興趣轉向對生物系統的研究，成為主動粒子方法在自推動互動實體的大系統建模中的開創者之一。他是兩本由 Birkhauser 出版的專著的作者，專注於這一主題。2009 年，他發表了著名的 Shank 演講，主題為免疫競爭的建模，並於 2016 年獲得意大利總統頒發的「第三級榮譽」，以表彰其科學成就。



Livio Gibelli，愛丁堡大學

Livio Gibelli 是愛丁堡大學的機械工程講師。他在米蘭理工大學獲得應用數學博士學位，並在目前的職位之前，曾在華威大學、米蘭理工大學、都靈理工大學和不列顛哥倫比亞大學擔任研究員。他的主要研究興趣包括非平衡多相流體流動、輕微稀薄氣體的連續描述、解決動力學方程的數值方法，以及人群動力學的建模。



Damian Knopoff，數學研究與研究中心（CONICET）及法馬夫（UNC）

Damian Knopoff 是一名化學工程師和數學家，擁有科爾多瓦國立大學的數學博士學位。目前，他是阿根廷科學技術研究委員會的副研究員。他的主要研究領域包括非線性動態系統和微分方程的數值方法，並應用於複雜生物系統的建模和模擬，包括生物現象、社會經濟系統和人群動力學。

Complexity of Human Crowds and Modeling Strategy
Scaling and Mathematical Structures
From Classical Kinetic Theory to Active Particle Models
Kinetic Theory Models and Applications
Kinetic Theory Models Toward Research Perspectives
Authors' Biographies

Complexity of Human Crowds and Modeling Strategy

Scaling and Mathematical Structures

From Classical Kinetic Theory to Active Particle Models

Kinetic Theory Models and Applications

Kinetic Theory Models Toward Research Perspectives

Authors' Biographies