Mathematical and computational approaches to epidemic modeling： a comprehensive review

作     者：Wei DUAN Zongchen FAN Peng ZHANG Gang GUO Xiaogang QIU 

作者机构：Center of Computational Experiments and Parallel Systems Technology College of Information Systems and Management National University of Defense Technology Chang sha 410073 China 

出 版 物：《Frontiers of Computer Science》 (中国计算机科学前沿（英文版）)

年 卷 期：2015年第9卷第5期

页      面：806-826页

核心收录：

学科分类：01[哲学] 0101[哲学-哲学] 010104[哲学-逻辑学] 07[理学] 08[工学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Acknowledgements The authors would like to thank editors and three anonymous referees for their valuable comments and suggestions. This work was supported by the National Natural Science Foundation of China (Grant Nos. 91024030  61374185 and 61403402) 

主　　题：mathematics complex networks agent-basedmodels epidemic modeling human dynamics infectious diseases 

摘      要：Mathematical and computational approaches are important tools for understanding epidemic spread patterns and evaluating policies of disease control. In recent years, epidemiology has become increasingly integrated with mathematics, sociology, management science, complexity science, and computer science. The cross of multiple disciplines has caused rapid development of mathematical and computational approaches to epidemic modeling. In this article, we carry out a comprehensive review of epidemic models to provide an insight into the literature of epidemic modeling and *** introduce major epidemic models in three directions, including mathematical models, complex network models, and agent-based models. We discuss the principles, applications, advantages, and limitations of these models. Meanwhile, we also propose some future research directions in epidemic modeling.