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INTRODUCTION : Disease outbreaks of acquired immunodeficiency syndrome, severe acute respiratory syndrome, pandemic H1N1, H7N9, H5N1, Ebola, Zika, Middle East respiratory syndrome, and recently COVID-19 have raised the attention of the public for the past half-century. Revealing the characteristics and epidemic trends are important parts for disease control. The biological scenarios including transmission characteristics, can be constructed and translated into mathematical models, which can help to predict and gain a deeper understanding of diseases. AREAS COVERED : This review discusses the models for infectious diseases and highlights their values in the field of public health. This information will be of interest to mathematicians and clinicians, and make a significant contribution towards the development of more specific and effective models. Literature searches were performed using the online database of PubMed (inception to August, 2020). EXPERT OPINION : Modeling could contribute to infectious disease control by means of predicting the scales of disease epidemics, indicating the characteristics of disease transmission, evaluating the effectiveness of interventions or policies, and warning or forecasting during the pre-outbreak of diseases. With the development of theories and the ability of calculations, infectious disease modeling would play a much more important role in disease prevention and control of public health.
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