Group Chase and Escape

Fusion of Pursuits-Escapes and Collective Motions

  • Atsushi Kamimura
  • Toru Ohira

Part of the Theoretical Biology book series (THBIO)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Atsushi Kamimura, Toru Ohira
    Pages 1-6
  3. Atsushi Kamimura, Toru Ohira
    Pages 7-24
  4. Atsushi Kamimura, Toru Ohira
    Pages 25-41
  5. Atsushi Kamimura, Toru Ohira
    Pages 43-75
  6. Atsushi Kamimura, Toru Ohira
    Pages 77-93
  7. Back Matter
    Pages 95-119

About this book


This book presents a unique fusion of two different research topics. One is related to the traditional mathematical problem of chases and escapes. The problem mainly deals with a situation where a chaser pursues an evader to analyze their trajectories and capture time. It dates back more than 300 years and has developed in various directions such as differential games. The other topic is the recently developing field of collective behavior, which investigates origins and properties of emergent behavior in groups of self-driving units. Applications include schools of fish, flocks of birds, and traffic jams. This book first reviews representative topics, both old and new, from these two areas. Then it presents the combined research topic of "group chase and escape", recently proposed by the authors. Although the combination is simple and straightforward, the book describes the emergence of rather intricate behavior, provoking the interest of readers for further developments and applications of related topics.


Chases and Escapes Collective Behavior Self-Driven Particles Stochasticity Crowd Dynamics

Authors and affiliations

  • Atsushi Kamimura
    • 1
  • Toru Ohira
    • 2
  1. 1.Department of Basic Science, Graduate School of Arts and SciencesThe University of TokyoTokyoJapan
  2. 2.Nagoya UniversityNagoyaJapan

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-15-1730-3
  • Online ISBN 978-981-15-1731-0
  • Series Print ISSN 2522-0438
  • Series Online ISSN 2522-0446
  • Buy this book on publisher's site