Correction: The Application of the Grey Disaster Model to Forecast Epidemic Peaks of Typhoid and Paratyphoid Fever in China

Objective The objectives of this study were to forecast epidemic peaks of typhoid and paratyphoid fever in China using the grey disaster model, to evaluate its feasibility of predicting the epidemic tendency of notifiable diseases. Methods According to epidemiological features, the GM(1,1) model and DGM model were used to build the grey disaster model based on the incidence data of typhoid and paratyphoid fever collected from the China Health Statistical Yearbook. Model fitting accuracy test was used to evaluate the performance of these two models. Then, the next catastrophe date was predicted by the better model. Results The simulation results showed that DGM model was better than GM(1,1) model in our data set. Using the DGM model, we predicted the next epidemic peak time will occur between 2023 to 2025. Conclusion The grey disaster model can predict the typhoid and paratyphoid fever epidemic time precisely, which may provide valuable information for disease prevention and control.

[1]  G. Serio,et al.  [Mathematical models in epidemiological analysis. II. Typhoid fever: time series analysis (author's transl)]. , 1980, Annali Sclavo; rivista di microbiologia e di immunologia.

[2]  J. Deng,et al.  Introduction to Grey system theory , 1989 .

[3]  Deng Julong,et al.  Application of grey system theory in China , 1990, [1990] Proceedings. First International Symposium on Uncertainty Modeling and Analysis.

[4]  M. Ríos,et al.  [Time series in the epidemiology of typhoid fever in Spain]. , 1996, Medicina clinica.

[5]  Li-Chang Hsu,et al.  Applying the Grey prediction model to the global integrated circuit industry , 2003 .

[6]  P. Lu,et al.  Artificial Neural Networks and Grey Systems for the Prediction of Slope Stability , 2003 .

[7]  Chia-Yon Chen,et al.  Applications of improved grey prediction model for power demand forecasting , 2003 .

[8]  D. Murdoch,et al.  Enteric (typhoid) fever in travelers. , 2005, Clinical infectious diseases : an official publication of the Infectious Diseases Society of America.

[9]  B. Connor,et al.  Typhoid and paratyphoid fever in travellers. , 2005, The Lancet. Infectious diseases.

[10]  Kan Bia Epidemics of Typhoid and Paratyphoid Fever From 1995 Through 2004 in China , 2005 .

[11]  R. E. Watkins,et al.  Approaches to the evaluation of outbreak detection methods , 2006, BMC public health.

[12]  Li,et al.  Application of Improved Grey Prediction Model to Petroleum Cost Forecasting , 2006 .

[13]  M. Thomson,et al.  Potential of environmental models to predict meningitis epidemics in Africa , 2006, Tropical medicine & international health : TM & IH.

[14]  B. Stanton,et al.  Adults' Perceived Prevalence of Enteric Fever Predicts Laboratory-validated Incidence of Typhoid Fever in Children , 2007, Journal of health, population, and nutrition.

[15]  Yu Wang,et al.  Emergence and control of infectious diseases in China , 2008, The Lancet.

[16]  Tikki Pang,et al.  A study of typhoid fever in five Asian countries: disease burden and implications for controls. , 2008, Bulletin of the World Health Organization.

[17]  Miquel Porta,et al.  A Dictionary of Epidemiology , 2008 .

[18]  Sifeng Liu,et al.  Discrete grey forecasting model and its optimization , 2009 .

[19]  E. Faerstein,et al.  A DICTIONARY OF EPIDEMIOLOGY , 2016 .

[20]  C. del Rio,et al.  Rethinking typhoid fever vaccines: implications for travelers and people living in highly endemic areas. , 2009, Journal of travel medicine.

[21]  Jiaqi Ma,et al.  [The application of national outbreak automatic detection and response system, China]. , 2010, Zhonghua liu xing bing xue za zhi = Zhonghua liuxingbingxue zazhi.

[22]  J. Crump,et al.  Global trends in typhoid and paratyphoid Fever. , 2010, Clinical infectious diseases : an official publication of the Infectious Diseases Society of America.

[23]  Sifeng Liu,et al.  Advances in grey systems research , 2010 .

[24]  Okyay Kaynak,et al.  Grey system theory-based models in time series prediction , 2010, Expert Syst. Appl..

[25]  Yi Lin,et al.  Grey Systems: Theory and Applications , 2010 .

[26]  K. Chou,et al.  iDNA-Prot: Identification of DNA Binding Proteins Using Random Forest with Grey Model , 2011, PloS one.

[27]  X. Ren,et al.  A novel algorithm to define infection tendencies in H1N1 cases in Mainland China , 2010, Infection, Genetics and Evolution.

[28]  Yudong Ren,et al.  Use of the D-R Model to Define Trends in the Emergence of Ceftazidime-Resistant Escherichia coli in China , 2011, PloS one.

[29]  N. Beeching,et al.  Outpatient treatment of patients with enteric fever. , 2011, The Lancet. Infectious diseases.

[30]  M. Levine,et al.  Live Oral Typhoid Vaccine Ty21a Induces Cross-Reactive Humoral Immune Responses against Salmonella enterica Serovar Paratyphi A and S. Paratyphi B in Humans , 2012, Clinical and Vaccine Immunology.

[31]  Andrea Nucita,et al.  Predicting trends in HIV-1 sexual transmission in sub-Saharan Africa through the Drug Resource Enhancement Against AIDS and Malnutrition model: antiretrovirals for 5 reduction of population infectivity, incidence and prevalence at the district level. , 2012, Clinical infectious diseases : an official publication of the Infectious Diseases Society of America.

[32]  R. Breiman,et al.  Population-Based Incidence of Typhoid Fever in an Urban Informal Settlement and a Rural Area in Kenya: Implications for Typhoid Vaccine Use in Africa , 2012, PloS one.

[33]  W. Shieh,et al.  A large outbreak of typhoid fever associated with a high rate of intestinal perforation in Kasese District, Uganda, 2008-2009. , 2012, Clinical infectious diseases : an official publication of the Infectious Diseases Society of America.

[34]  J. Farrar,et al.  Highly Resistant Salmonella enterica Serovar Typhi with a Novel gyrA Mutation Raises Questions about the Long-Term Efficacy of Older Fluoroquinolones for Treating Typhoid Fever , 2012, Antimicrobial Agents and Chemotherapy.

[35]  D. Bumann,et al.  Immunity to Intracellular Salmonella Depends on Surface-associated Antigens , 2012, PLoS pathogens.

[36]  J. Farrar,et al.  The Microbiological and Clinical Characteristics of Invasive Salmonella in Gallbladders from Cholecystectomy Patients in Kathmandu, Nepal , 2012, PloS one.

[37]  Jan Verhaegen,et al.  The diagnosis of typhoid fever in the Democratic Republic of the Congo. , 2012, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[38]  Yudong Ren,et al.  Incidence Rates and Deaths of Tuberculosis in HIV-Negative Patients in the United States and Germany as Analyzed by New Predictive Model for Infection , 2012, PloS one.

[39]  S. Ghosh,et al.  A Mouse Model of Salmonella Typhi Infection , 2012, Cell.

[40]  Z. Bhutta,et al.  Effectiveness of Vi capsular polysaccharide typhoid vaccine among children: a cluster randomized trial in Karachi, Pakistan. , 2012, Vaccine.

[41]  Yasuo Adachi,et al.  Abdominal ultrasonographic findings in typhoid fever: a comparison between typhoid patients and those with non-typhoidal Salmonella and Campylobacter jejuni enterocolitis. , 2012, The Southeast Asian journal of tropical medicine and public health.

[42]  A. Ralph,et al.  Typhoid and paratyphoid fever in Western Sydney Local Health District, NSW, January-June 2011. , 2012, New South Wales public health bulletin.