CFP last date
20 May 2024
Reseach Article

Using Data Assimilation Technique and Epidemic Model to Predict TB Epidemic

by Himanshu Gupta, Kamal Kant Verma, Punit Sharma
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 128 - Number 9
Year of Publication: 2015
Authors: Himanshu Gupta, Kamal Kant Verma, Punit Sharma
10.5120/ijca2015906625

Himanshu Gupta, Kamal Kant Verma, Punit Sharma . Using Data Assimilation Technique and Epidemic Model to Predict TB Epidemic. International Journal of Computer Applications. 128, 9 ( October 2015), 1-5. DOI=10.5120/ijca2015906625

@article{ 10.5120/ijca2015906625,
author = { Himanshu Gupta, Kamal Kant Verma, Punit Sharma },
title = { Using Data Assimilation Technique and Epidemic Model to Predict TB Epidemic },
journal = { International Journal of Computer Applications },
issue_date = { October 2015 },
volume = { 128 },
number = { 9 },
month = { October },
year = { 2015 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume128/number9/22898-2015906625/ },
doi = { 10.5120/ijca2015906625 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:21:09.346749+05:30
%A Himanshu Gupta
%A Kamal Kant Verma
%A Punit Sharma
%T Using Data Assimilation Technique and Epidemic Model to Predict TB Epidemic
%J International Journal of Computer Applications
%@ 0975-8887
%V 128
%N 9
%P 1-5
%D 2015
%I Foundation of Computer Science (FCS), NY, USA
Abstract

People of India are very susceptible to many infectious diseases like malaria, TB, HIV etc. There are many epidemic models that are used to predict new cases of disease. Some of the popular epidemic models are SI (Susceptible-Infectious), SIR (Susceptible-Infectious-Recovered), SIRS, SIS etc. In this research quarterly data of TB disease in Uttarakhand (India) for 7 years is collected and on the basis of this data new infected population in the next quarter is predicted using SIR epidemic model and data assimilation technique (Ensemble Kalman Filter). Analysis and implementation is done in MATLAB. Results show good agreement to measured values.

References
  1. F. Brauer. “Compartmental models in epidemiology” In Mathematical Epidemiology, volume 1945 of Lecture Notes in Mathematics, pages 19–79. Springer Berlin Heidelberg, 2008.
  2. T. L. Burr and G. Chowell.” Observation and model error effects on parameter estimates in susceptible-infected-recovered epidemiological models”. Far East Journal of Theoretical Statistics, 19(2):163–183, 2013.
  3. W.D. Flanders and D.G. Kleinbaum.” Basic models for disease occurrence in epidemiology”. International Journal of Epidemiology, 24(1):1–7, 1995
  4. L.X. Yang and X. Yang. “A new epidemic model of computer viruses”. Communications in Nonlinear Science and Numerical Simulation, 19(6):1935 – 1944, 2014.
  5. H.W. Hethcote. “The mathematics of infectious diseases””. SIAM Rev., 42(4): 599–653, December 2000.
  6. Lonela Roxana Danilla,”On- the-fly modelling and prediction of Epidemic phenomena”, Imperial College London,june 2014
  7. W. O. Kermack and A. G. McKendrick, “A contribution to the mathematical theory of epidemics”, Proceedings of the Royal Society of London. Series A, 115(772): 700–721, 1927.
  8. Ashok Krishnamurthy, “Bayesian Tracking of Emerging Epidemics Using Ensemble Optimal Statistical Interpolation (EnOSI)”, Section on Statistics in Epidemiology-JSM 2010
  9. F. E. Daum and J. Huang, “The Curse of Dimensionality for Particle Filters,” Proc. IEEE Conf. Aero., vol. 4, pp. 1979-1993, 2003.
  10. J. H. Kotecha and P. M. Djuric, “‘Gaussian particle filtering,” IEEE Trans. Sig. Proc., vol. 51, pp. 2592 - 2601, 2003.
  11. R.Daley, “Atmospheric Data Analysis”, Cambridge University Press, 1991.
  12. E. Kalnay, “Atmospheric modeling, data assimilation and predictability”, Cambridge University Press, 2003.
  13. A.Ridley, “What is the Ensemble Kalman Filter and how well does it perform?”, American control conference, 2006.
Index Terms

Computer Science
Information Sciences

Keywords

Epidemics Infectious Disease Disease Dynamics spatial-temporal SIR model & equations Data Assimilation Ensemble Kalman Filter Matlab Kalman gain Matrix