A Disease Outbreak Prediction Model Using Bayesian Inference: A Case of Influenza

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
View: 123

This Paper With 8 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_IJTMGH-7-3_004

تاریخ نمایه سازی: 7 تیر 1402

Abstract:

Introduction: One major problem in analyzing epidemic data is the lack of data and high dependency among the available data, which is due to the fact that the epidemic process is not directly observable. Methods: One method for epidemic data analysis to estimate the desired epidemic parameters, such as disease transmission rate and recovery rate, is data intensification. In this method, unknown quantities are considered as additional parameters of the model and are extracted using other parameters. The Markov Chain Monte Carlo algorithm is extensively used in this field. Results: The current study presents a Bayesian statistical analysis of influenza outbreak data using Markov Chain Monte Carlo data intensification that is independent of probability approximation and provides a wider range of results than previous studies. A method for estimating the epidemic parameters has been presented in a way that the problem of uncertainty regarding the modeling of dynamic biological systems can be solved. The proposed method is then applied to fit an SIR-like flu transmission model to data from ۱۹ years leading up to the seventh week of the ۲۰۱۷ incidence of influenza. Conclusion: The proposed method showed an improvement in estimating the values of all the parameters considered in the study. The results of this study showed that the distributions are significant and the error ranges are real.

Authors

Atefeh Sadat Mirarabshahi

Information Technology Department, Faculty of Industrial Engineering, Tarbiat Modares University, Tehran, Iran

Mehrdad Kargari

Information Technology Department, Faculty of Industrial Engineering, Tarbiat Modares University, Tehran, Iran

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • Anderson RM, May RM. Infectious diseases of humans: Dynamics and ...
  • Anderson RM. The role of mathematical models in the study ...
  • Ferguson NM, Keeling MJ, Edmunds WJ, et al. Planning for ...
  • Ngwa GA, Shu WS. A mathematical model for endemic malaria ...
  • Fraser C, Donnelly CA, Cauchemez S, et al. Pandemic potential ...
  • Gibson GJ, Renshaw E. Estimating parameters in stochastic compartmental models ...
  • Hethcote HW. The mathematics of infectious diseases. SIAM Rev Soc ...
  • Dietz K. Transmission and control of arbovirus diseases. In: Ludwig ...
  • Just W, Callender HL. Differential equation models of disease transmission. ...
  • Hamer W. Epidemic disease in England. Lancet. ۱۹۰۶;(۱):۷۳۳-۷۳۹ ...
  • Ross R. The Prevention of Malaria. ۲nd ed. London: Murray; ...
  • Bailey NT. The Mathematical Theory of Infectious Diseases. ۲nd ed. ...
  • Dietz K. Epidemics and rumours: A survey. J R Stat ...
  • Dietz K. The first epidemic model: a historical note on ...
  • Kermack WO, McKendrick AG. A contribution to the mathematical theory ...
  • Becker N. The uses of epidemic models. Biometrics. ۱۹۷۹;۳۵(۱):۲۹۵-۳۰۵. doi:۱۰.۲۳۰۷/۲۵۲۹۹۵۱ ...
  • Castillo-Chavez C. Mathematical and statistical approaches to AIDS epidemiology. Berlin: ...
  • Dietz K. Density-dependence in parasite transmission dynamics. Parasitol Today. ۱۹۸۸;۴(۴):۹۱-۹۷. ...
  • Dietz K, Schenzle D. Mathematical models for infectious disease statistics ...
  • Hethcote H.W. A thousand and one epidemic models. In: Levin ...
  • Hethcote HW, Levin SA. Periodicity in epidemiological models. In: Levin ...
  • Hethcote HW, Stech P. Periodicity and stability in epidemic models: ...
  • Brooks S, Gelman A, Jones G, Meng XL, editors. Handbook ...
  • Wickwire K. Mathematical models for the control of pests and ...
  • Dempster AP. A generalization of Bayesian inference. In: Yager RR, ...
  • Greenland S. Generalized conjugate priors for Bayesian analysis of risk ...
  • Greenland S. Bayesian perspectives for epidemiological research: I. Foundations and ...
  • Yang B. Stochastic dynamics of an SEIS epidemic model. Adv ...
  • Nsoesie EO, Beckman RJ, Marathe MV. Sensitivity analysis of an ...
  • Halloran ME, Ferguson NM, Eubank S, et al. Modeling targeted ...
  • Germann TC, Kadau K, Longini IM, Jr., Macken CA. Mitigation ...
  • Brooks LC, Farrow DC, Hyun S, Tibshirani RJ, Rosenfeld R. ...
  • Kar TK, Batabyal A. Stability analysis and optimal control of ...
  • Zaman G, Kang YH, Jung IH. Optimal treatment of an ...
  • نمایش کامل مراجع