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A Modified Epidemic Chain Binomial Model
Department of Statistics, Gauhati University, Guwahati, India
Department of Statistics, Gauhati University, Guwahati, India
Department of Statistics, Gauhati University, Guwahati, India
- 1 Department of Statistics, Gauhati University, Guwahati, India
- 2 Department of Statistics, Gauhati University, Guwahati, India
- 3 Department of Statistics, Gauhati University, Guwahati, India
Open Journal of Statistics·Volume 06 (2016)·Pages 1–6·Published 3 February 2016·DOI10.4236/ojs.2016.61001
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Abstract
Discrete epidemic models are applied to describe the physical phenomena of spreading infectious diseases in a household. In this paper, an attempt has been made to develop a modified epidemic chain model by assuming a beta distribution of third kind for the probability of being infected by contact with a given infective from the same household with closed population. This paper emphasizes mainly on developing the probabilities of all possible epidemic chains with one introductory case for three, four and five member household. The key phenomenon towards developing this paper is to provide an alternative model of chain binomial model.
KeywordsBeta DistributionInfectionSusceptible
- Bailey, N.T.J. (1975) The Mathematical Theory of Infectious Diseases and Its Application. Griffin, London.
- Heasman, H.A. and Reid, D.D. (1961) Theory and Observation in Family Epidemics of the Common Cold. British Journal of Preventive and Social Medicine, 15, 12-16. http://dx.doi.org/10.1136/jech.15.1.12
- Becker, N. (1980) An Epidemic Chain Model. Biometrics, 36, 249-254. http://dx.doi.org/10.2307/2529976
- Ludwig, D. (1975) Final Size Distributions for Epidemics. Mathematical Biosciences, 23, 33-46. http://dx.doi.org/10.1016/0025-5564(75)90119-4
- Nagar, D.K. and Ramirez-Venagas, Y.A. (2012) Non-Central Beta Type 3 Distribution. Progress in Applied Mathematics, 4, 29-43.