Statistical data analysis of the 1995 Ebola outbreak in the Democratic Republic of Congo

Afrika Matematika

Volumn 24, Issue 1, 2013, Pages 55-68

  Ndanguza, D ^a   Tchuenche, J M ^b   Haario, H ^c  

^a UNIVERSITY OF RWANDA   (Rwanda)

^b UNIVERSITY OF DAR ES SALAAM   (Tanzania)

^c LAPPEENRANTA UNIVERSITY OF TECHNOLOGY   (Finland)

Author keywords

Analysis; Ebola; Estimates; Least squares; Posterior distribution; SEIR

Indexed keywords

EID: 84879434694     PISSN: 10129405     EISSN: 21907668     Source Type: Journal    
DOI: 10.1007/s13370-011-0039-5     Document Type: Article

References (20)

1. Bausch D. G., Sprecher A. G., Jeffs B., Boumandouki P.: Treatment of Marburg and Ebola hemorrhagic fevers: A strategy for testing new drugs and vaccines under outbreak conditions. Elsevier ScienceDirect 78, 150-161 (2008).
2. Bettencourt, L. M. A., Ribeiro, R. M.: Real Time Bayesian Estimation of the Epidemic Potential of Emerging Infectious Diseases. PLoS ONE 3(5), e2185 (2008). doi: 10. 1371/journal. pone. 0002185.
3. Brauer, F., Wu, J., van den Driessche, P.: Mathematical Epidemiology. Springer, Berlin, ISBN 978-3-540-78910-9 (2008).
4. Carr J.: Applications Centre Manifold theory. Springer, New York (1998).
5. Chowell G., Hengartner N. W., Castillo-Chavez C., Fenimore P. W., Hyman J. M.: The basic reproductive number of Ebola and the effects of public health measures: the case of Congo and Uganda. J. Theor. Biol. 229, 119-126 (2004).
6. Demiris, N.: Bayesian Inference for Stochastic Epidemic Models using Markov Chain Monte Carlo Methods, thesis for the degree of Doctor of Philosophy, Nottingham (2004).
7. Guardiola, J., Vecchio, A.: The basic reproduction number for infections dynamics models and the global stability of stationary points, Napoli, Italy (2003).
8. Haario H., Saksman E., Tamminen J.: An adaptive Metropolis algorithm. Bernouilli 7, 223-242 (2001).
9. Khan A. S., Tshioko K., Heymann D. L., LeGuenno B., Nabeth P., Kerstiens D. L., Fleerackers Y., Kilmarx P. H., Rodier G. R., Nkulu O., Rollin P. E., Sanchez A., Zaki S. R., Swanepoel R., Tomori O., Nichol S. T., Peters C. J., Muyembe-Tamfum J. J., Ksiazek T. G.: The re-emergence of Ebola hemorrhagic fever, Democratic Republic of the Congo, 1995. J. Infect. Dis. 179, 79-86 (1999).
10. Kuhn, J. H.: Filoviruses: A compendium of 40 years of Epidemiologycal, Clinical, and Laboratory Studies, ISBN 978-3-211-20670-6 Springer, pp. 60-64 (2008).
11. Laine, M.: Adaptive MCMC Methods with Applications in Environmental and Geophysical Models, Ph. D. Thesis, Helsinki, ISBN 978-951-697-662-7 (2008).
12. Lekone P., Finkenstädt B.: Statistical inference in a stochastic epidemic SEIR model with control intervention: Ebola as a case study. Biometrics 62, 1170-1177 (2006).
13. Leroy, EM., Rouquet, P., Formenty, P., Souquiere, S., Kilbourne, A., Froment, JM, Bermojo, M., Smit, S., Kareh, W., Swanepoel, R., Zaki, S. R., Rollin, P. E.: Multiple Ebola Virus transmission Events and Rapid Decline of Central African Wildlife, Science 303 (2004).
14. Morgan, B. J. T.: Applied Stochastic Modelling. Oxford University Press Inc., New York, ISBN 0340 74041 8 (2000).
15. Murray, J. D.: Mathematical Biology I: An introduction, 3rd edn. Springer, pp. 315-393 (2002).
16. Pourrut, X., Kumulungui, B., Wittmann, T. Moussavou, AD, Yaba, P., Nkoghe, D., Gonzalez, JP, Leroy, EM: The natural history of Ebola Virus in Africa. Microbes Infect 7, 1005-1014, Elsevier (2005).
17. Robert, P., Casella, G.: Monte Carlo Statistical Methods. Springer, New York, chapters 1-10, ISBN 0-387-21239-6 (2004).
18. Ryan, C. W. Hall, M. D., Richard, C. W. Hall, M. D., Marcia J. Chapman: The 1995 Kikwit Ebola outbreak: lessons hospitals and physicians can apply to future viral epidemics. J. Gen. Hosp. Psychiatry 30, 446-452, ScienceDirect, Elsevier (2008).
19. The World Health Organization (WHO). The world health report, 2007. (2007). Available at: http://www. who. int/whr/2007/whr07-en. pdf (accessed on November 2, 2008).
20. The World Health Organization Report. Ebola Outbreak Chronology (2004). Available at: http://www. who. int/mediacentre/factsheets/fs103/en/index1. html (accessed on November 4, 2008).