Mathematical and computational approaches to epidemic modeling： a comprehensive review  

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

机构地区：[1]Center of Computational Experiments and Parallel Systems Technology, College of Information Systems and Management, National University of Defense Technology, Chang sha 410073, China

出　　处：《Frontiers of Computer Science》2015年第5期806-826,共21页中国计算机科学前沿（英文版）

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）.

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 simulation.We 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.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 simulation.We 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.

关 键 词：MATHEMATICS complex networks agent-basedmodels epidemic modeling human dynamics infectious diseases 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术] O141.4[理学—数学]