A Stochastic Method for Solving Inverse Problems in Epidemic Modelling

Proceedings of the International Conference on Mathematics and Engineering Techniques in Medicine and Biological Sciences

Volumn , Issue , 2003, Pages 467-473

  Novotni, Dominik ^a   Weber, Andreas ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

Epidemic modelling; Evolutionary computing; Inverse problems; MSEIRS4 model; Respiratory Syncytial Virus (RSV)

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONSTRAINT THEORY; INVERSE PROBLEMS; MATHEMATICAL MODELS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING; RANDOM PROCESSES; TIME SERIES ANALYSIS; VIRUSES;

EPIDEMIC MODELING; EVOLUTIONARY COMPUTING; MSEIRS4 MODEL; RESPIRATORY SYNCYTIAL VIRUS (RSV);

EPIDEMIOLOGY;

EID: 1642278920     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. R. M. Anderson and R. M. May, Infectious Diseases of Humans - Dynamics and Control. Oxford, GB: Oxford University Press, 1992.
2. B. M. Bolker and B. T. Grenfell, "Chaos and biological complexity in measles dynamics," Proceedings of the Royal Society of London. Series B: Biological Sciences, vol. 251, no. 1330, pp. 75-81, 1993.
3. D. J. D. Earn, P. Rohani, B. M. Bolker, and B. T. Grenfell, "A simple model for complex dynamical transitions in epidemics," Science, vol. 287, pp. 667-670, 2000.
4. B. Grenfell, B. Bolker, and A. Kleczkowski, "Seasonality, demography and the dynamics of measles in developed countries," in Epidemic Models - Their Structure and Relation to Data, D. Mollison, Ed. Cambridge University Press, 1995, pp. 248-268.
5. K. P. Hadeler and P. van den Driessche, "Backward bifurcation in epidemic control," Mathematical Biosciences, vol. 146, no. 1, pp. 15-35, 1997.
6. M. Kalivianakis, S. L. J. Mous, and J. Grasman, "Reconstruction of the seasonally varying contact rate for measles," Mathematical Biosciences, vol. 214, no. 2, pp. 225-234, 1994.
7. S. A. Levin, B. Grenfell, and A. S. Perelson, "Mathematical and computational challenges in population biology and ecosystems science," Science, vol. 275, no. 5298, pp. 334-343, 1997.
8. X.-D. Lin and P. van den Driessche, "A threshold result for an epidemiological model," Journal of Mathematical Biology, vol. 30, no. 6, pp. 647-654, 1992.
9. W.-M. Liu and P. van den Driessche, "Epidemiological models with varying population size and dose-dependent latent period," Mathematical Biosciences, vol. 128, pp. 57-69, 1995.
10. L. F. Olsen and W. M. Schaffer, "Chaos versus noisy periodicity: alternative hypotheses for childhood epidemics," Science, vol. 249, no. 4968, pp. 499-504, 1990.
11. D. Schenzle, "An age-structured model of pre- and post-vaccination measles transmission," IMA Journal of Mathematics Applied in Medicine and Biology, vol. 1, no. 2, pp. 169-191, 1984.
12. I. B. Schwartz, "Small amplitude, long period outbreaks in seasonally driven epidemics," Journal of Mathematical Biology, vol. 30, pp. 473-492, 1992.
13. M. Waris, "Pattern of respiratory syncytial virus epidemics in Finland: two- year cycles with alternating prevalence of groups A and B," Journal of Infectious Diseases, vol. 163, no. 3, pp. 464-469, 1991.
14. A. Weber, M. Weber, and P. Milligan, "Modeling epidemics caused by respiratory syncytial virus (RSV)," Mathematical Biosciences, vol. 172, no. 2, pp. 95-113, 2001.
15. C. Zimmer, "Complex systems: Life after chaos," Science, vol. 284, no. 5411, pp. 83-86, 1999.