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 wit...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.展开更多
Science of Complexity is a newly emerging branch of natural science. Althoughwe still haven't a precise definition, there are some principles for justifying whether a systemis a complex system. The purpose of this...Science of Complexity is a newly emerging branch of natural science. Althoughwe still haven't a precise definition, there are some principles for justifying whether a systemis a complex system. The purpose of this article is to reveal some of such principles. Onthe basis of them, the concept of a system with complexity is proposed. They may helpus to distinguish a real complex system from complicated objects in common sense. Thenwe propose some fundamental problems faced by the study of systems with complexity.展开更多
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）.
文摘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.
基金This research is partly by the National Natural Science Foundation of China(G1998020308)
文摘Science of Complexity is a newly emerging branch of natural science. Althoughwe still haven't a precise definition, there are some principles for justifying whether a systemis a complex system. The purpose of this article is to reveal some of such principles. Onthe basis of them, the concept of a system with complexity is proposed. They may helpus to distinguish a real complex system from complicated objects in common sense. Thenwe propose some fundamental problems faced by the study of systems with complexity.
