Summary
A multistate epidemiological model is constructed on the ground of natural history of the disease. The transfers from one class to another are governed by the mathematical relationship between classesof population of the dynamics of hepatitis B is expressed in the system of equations. All rates of transfers are calculated on a daily basis. The model is used for simulating the natural course of the infection as well as the effects of various public health interventions, such as passive and active immunization and/or application of appropriate sanitary and hygienic measures. The model is evaluated through above simulations of actual and hypothetical situations.
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References
Cvjetanovic, B., Grab, B., Uemura, K.: Dynamics of Acute Bacterial Diseases; Epidemiological Models and Their Application in Public Health. Bull. Wld Hlth Org. 56; Supplement 1, 1978.
Bailey, N.T.J. and Duppenthaler, J.: Sensitivity Analysis in the Modelling of Infectious Disease Dynamics. J. Math. Biology 10, 113–131, 1980.
Sobeslavsky, O.: Prevalence of markers of hepatitis B virus infection in various countries: A WHO Collaborative study. Bull.Wld Hlth Org. 58, 621–628,1980.
McCollum, R.W., Zuckerman, A.J. (1981): Viral Hepatitis; Report of a WHO Informal Consultation. Journal of Med. Vir. 8:1029, 1981.
Mims, C.A.: Vertical transmission of viruses. Microbiological Review, p. 267, 281, 1981.
Szmuness, W., Stevens, C.E., Harley, E.J., Zang, E.A., Oleszko, W.R., William, D.C., Sadovsky, R., Morrison, J.M., Kellner, A.: Hepatitis B vaccine; demonstration of efficacy in a controlled clinical trial in a high-risk population in the United States, New England Journal of Medicine 303:833–841, 1980.
Parsonage, M.: Assessment of direct and Indirect costs of viral hepatitis. ICP/ESD 003(1)12. World Health Organization, Regional Office for Europe. Mimiographed document, August 1981.
Mulley, A.G., Silverstein, M.D., Dienstag, J.L.: Indications for use of Hepatitis B Vaccine,based on cost-effectiveness analysis. New England Journal of Medicine 307:644–651, 1982.
Cvjetanović, B., Grab, B., Dixon, H.: Epidemiological Models of Poliomyelitis and Measles. Bull. Wld Hlth Org., 60:405–422, 1982.
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© 1985 Springer-Verlag Berlin Heidelberg
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Delimar, N., Košiček, M., Cvjetanović, B., Špoljarić, B. (1985). Mathemathical Model of Hepatitis B. In: Capasso, V., Grosso, E., Paveri-Fontana, S.L. (eds) Mathematics in Biology and Medicine. Lecture Notes in Biomathematics, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93287-8_21
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DOI: https://doi.org/10.1007/978-3-642-93287-8_21
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15200-2
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