{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,20]],"date-time":"2026-10-20T01:43:23Z","timestamp":1792460603668,"version":"4.5.0"},"reference-count":32,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2017,8,17]],"date-time":"2017-08-17T00:00:00Z","timestamp":1502928000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["81673238"],"award-info":[{"award-number":["81673238"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science Technology Research and Development Program of Shandong Province","award":["2014GGH218019"],"award-info":[{"award-number":["2014GGH218019"]}]},{"name":"the Natural Science Foundation of Shandong Province","award":["ZR2016HM75"],"award-info":[{"award-number":["ZR2016HM75"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IJERPH"],"abstract":"<jats:p>This study aimed to predict the incidence of mumps using a seasonal autoregressive integrated moving average (SARIMA) model, and provide theoretical evidence for early warning prevention and control in Zibo City, Shandong Province, China. Monthly mumps data from Zibo City gathered between 2005 and 2013 were used as a training set to construct a SARIMA model, and the monthly mumps in 2014 were defined as a test set for the model. From 2005 to 2014, a total of 8722 cases of mumps were reported in Zibo City; the male-to-female ratio of cases was 1.85:1, the age group of 1\u201320 years old accounted for 94.05% of all reported cases, and students made up the largest proportion (65.89%). The main serious endemic areas of mumps were located in Huantai County, Linzi District, and Boshan District of Zibo City. There were two epidemic peaks from April to July and from October to January in next year. The fitted model SARIMA (0, 1, 1) (0, 1, 1)12 was established (AIC = 157.528), which has high validity and reasonability. The SARIMA model fitted dynamic changes of mumps in Zibo City well. It can be used for short-term forecasting and early warning of mumps.<\/jats:p>","DOI":"10.3390\/ijerph14080925","type":"journal-article","created":{"date-parts":[[2017,8,21]],"date-time":"2017-08-21T04:12:17Z","timestamp":1503288737000},"page":"925","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":33,"title":["Forecasting the Incidence of Mumps in Zibo City Based on a SARIMA Model"],"prefix":"10.3390","volume":"14","author":[{"given":"Qinqin","family":"Xu","sequence":"first","affiliation":[{"name":"Department of Biostatistics, School of Public Health, Shandong University, Jinan 250012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Runzi","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Biostatistics, School of Public Health, Shandong University, Jinan 250012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yafei","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Biostatistics, School of Public Health, Shandong University, Jinan 250012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Cheng","family":"Luo","sequence":"additional","affiliation":[{"name":"Department of Biostatistics, School of Public Health, Shandong University, Jinan 250012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Aiqiang","family":"Xu","sequence":"additional","affiliation":[{"name":"Shandong Center for Disease Control and Prevention, Jinan 250014, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fuzhong","family":"Xue","sequence":"additional","affiliation":[{"name":"Department of Biostatistics, School of Public Health, Shandong University, Jinan 250012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Qing","family":"Xu","sequence":"additional","affiliation":[{"name":"Shandong Center for Disease Control and Prevention, Jinan 250014, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xiujun","family":"Li","sequence":"additional","affiliation":[{"name":"Department of Biostatistics, School of Public Health, Shandong University, Jinan 250012, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2017,8,17]]},"reference":[{"key":"ref_1","first-page":"32","article-title":"Mumps","volume":"371","author":"Anders","year":"2008","journal-title":"Lancet"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"22","DOI":"10.21101\/cejph.a4512","article-title":"Mumps in the Czech Republic in 2013: Clinical characteristics, mumps virus genotyping, and epidemiological links","volume":"24","author":"Martina","year":"2016","journal-title":"Cent. Eur. J. Public Health"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Hana, O., Marek, M., Pavla, L., Helena, \u0160., Radom\u00edra, L., Lucie, J., and Jan, K. (2016). Protective effect of vaccination against mumps complications, Czech Republic, 2007\u20132012. BMC Public Health, 16.","DOI":"10.1186\/s12889-016-2958-4"},{"key":"ref_4","first-page":"497","article-title":"Epidemiological survey on clinical diagnosed mumps from 2001 to 2003 in Shandong","volume":"6","author":"Xu","year":"2006","journal-title":"Chin. J. Vaccines Immun."},{"key":"ref_5","first-page":"691","article-title":"Epidemiology of mumps in China, 2008\u20132010","volume":"26","author":"Fei","year":"2011","journal-title":"Dis. Surveill."},{"key":"ref_6","first-page":"3","article-title":"Mumps and mumps vaccine: A global review","volume":"77","author":"Galazka","year":"1999","journal-title":"Bull. World Health Organ."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Cui, A., Zhu, Z., Hu, Y., Deng, X., Sun, Z., Zhang, Y., Mao, N., Xu, S., Fang, X., and Gao, H. (2017). Mumps epidemiology and mumps virus genotypes circulating in Mainland China during 2013\u20132015. PLoS ONE, 12.","DOI":"10.1371\/journal.pone.0169561"},{"key":"ref_8","first-page":"183","article-title":"Mumps in Poland in 2014","volume":"70","author":"Monika","year":"2016","journal-title":"Epidemiol. Chron."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.3947\/ic.2015.47.1.1","article-title":"Resurgence of mumps in Korea","volume":"47","author":"Park","year":"2015","journal-title":"Infect. Chemother."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1580","DOI":"10.1056\/NEJMoa0706589","article-title":"Recent resurgence of mumps in the United States","volume":"358","author":"Gustavo","year":"2008","journal-title":"N. Engl. J. Med."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"955","DOI":"10.1080\/21645515.2015.1113357","article-title":"The resurgence of mumps and pertussis","volume":"12","author":"Sabbe","year":"2016","journal-title":"Hum. Vaccines Immunother."},{"key":"ref_12","unstructured":"Bi, X. (2009). Study on Eco-Geographical Regionalization of Major Infections Diseases in Shandong Province, Shandong University."},{"key":"ref_13","first-page":"943","article-title":"Analysis on epidemic characteristics of mumps, Shandong Province","volume":"19","author":"Yin","year":"2013","journal-title":"Prev. Med. Trib."},{"key":"ref_14","first-page":"90","article-title":"Prediction of incidence of notifiable contagious diseases by appalication of time series model","volume":"20","author":"Wu","year":"2007","journal-title":"J. Math. Med."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1590\/S0037-86822011000400007","article-title":"A SARIMA forecasting model to predict the number of cases of dengue in Campinas, State of S\u00e3o Paulo, Brazil","volume":"44","author":"Martinez","year":"2011","journal-title":"Rev. Soc. Bras. Med. Trop."},{"key":"ref_16","first-page":"e11779","article-title":"Forecasting tuberculosis incidence in Iran using Box-Jenkins Models","volume":"16","author":"Mahmood","year":"2014","journal-title":"Iran. Red Crescent Med. J."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1186\/1472-6947-13-56","article-title":"A hybrid seasonal prediction model for tuberculosis incidence in China","volume":"13","author":"Cao","year":"2013","journal-title":"BMC Med. Inform. Decis. Mak."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Varun, K., Abha, M., Sanjeet, P., Geeta, Y., Richa, T., Deepak, R., and Saudan, S. (2014). Forecasting malaria cases using climatic factors in delhi, India: a time series analysis. Malar. Res. Treat., 482851.","DOI":"10.1155\/2014\/482851"},{"key":"ref_19","doi-asserted-by":"crossref","unstructured":"Yang, L., Liang, S., Wang, X., Li, X., Wu, Y., and Ma, W. (2015). Burden of disease measured by disability-adjusted life years and a disease Forecasting Time Series Model of Scrub Typhus in Laiwu, China. PLoS Negl. Trop. Dis., 9.","DOI":"10.1371\/journal.pntd.0003420"},{"key":"ref_20","first-page":"e36570","article-title":"A time series model for assessing the trend and forecasting the road traffic accident mortality","volume":"5","author":"Shahrokh","year":"2016","journal-title":"Arch. Trauma Res."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"e008491","DOI":"10.1136\/bmjopen-2015-008491","article-title":"Application of an autoregressive integrated moving average model for predicting injury mortality in Xiamen, China","volume":"5","author":"Lin","year":"2015","journal-title":"BMJ Open"},{"key":"ref_22","first-page":"362","article-title":"ARIMA product season model and its application on forecasting in incidence of infectious disease","volume":"27","author":"Peng","year":"2008","journal-title":"Appl. Stat. Manag."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/j.annepidem.2014.10.015","article-title":"Forecasting mortality of road traffic injuries in China using seasonal autoregressive integrated moving average model","volume":"25","author":"Zhang","year":"2015","journal-title":"Ann. Epidemiol."},{"key":"ref_24","first-page":"611","article-title":"Epidemic profile of mumps in China during 2004\u20132013","volume":"50","author":"Su","year":"2016","journal-title":"Chin. J. Prev. Med."},{"key":"ref_25","first-page":"622","article-title":"Analysis on epidemiological characteristics of mumps, Zibo City, 2007\u20132013","volume":"20","author":"Han","year":"2014","journal-title":"Prev. Med. Trib."},{"key":"ref_26","first-page":"677","article-title":"Analysis on Epidemiological Characteristics of mumps, Zhangdian District, Zibo City, 2008\u20132013","volume":"20","author":"Zhang","year":"2014","journal-title":"Prev. Med. Trib."},{"key":"ref_27","first-page":"82","article-title":"Application of SARIMA model in predicting of the incidence of mumps","volume":"54","author":"Li","year":"2015","journal-title":"J. Shandong Univ. (Health Sci.)"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"592","DOI":"10.1002\/met.1491","article-title":"Long-term runoff study using SARIMA and ARIMA models in the United States","volume":"22","author":"Valipour","year":"2015","journal-title":"Meteorol. Appl."},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Zhang, X., Liu, Y., Yang, M., Zhang, T., Young, A., and Li, X. (2013). Comparative study of four time series methods in forecasting typhoid fever incidence in China. PLoS ONE, 8.","DOI":"10.1371\/journal.pone.0063116"},{"key":"ref_30","first-page":"1777","article-title":"Application of time series analysis in the prediction of Hypertension incidence","volume":"30","author":"Ma","year":"2010","journal-title":"Chin. J. Gerontol."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1016\/j.chemosphere.2017.03.029","article-title":"Evaluation of a multiple linear regression model and SARIMA model in forecasting 7 Be air concentrations","volume":"177","author":"Bas","year":"2017","journal-title":"Chemosphere"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"158","DOI":"10.4258\/hir.2010.16.3.158","article-title":"Prediction of daily patient numbers for a regional emergency medical center using time series analysis","volume":"16","author":"Kam","year":"2010","journal-title":"Healthc. Inform. Res."}],"container-title":["International Journal of Environmental Research and Public Health"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1660-4601\/14\/8\/925\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:42:37Z","timestamp":1760208157000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1660-4601\/14\/8\/925"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,8,17]]},"references-count":32,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2017,8]]}},"alternative-id":["ijerph14080925"],"URL":"https:\/\/doi.org\/10.3390\/ijerph14080925","relation":{},"ISSN":["1660-4601"],"issn-type":[{"value":"1660-4601","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,8,17]]}}}