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DETERMINISTIC AND STOCHASTIC MODELS FOR THE SPREAD OF CHOLERA

Published online by Cambridge University Press:  05 May 2010

J. GANI and
R. J. SWIFT
J. GANI
Affiliation:
Mathematical Sciences Institute, Australian National University, Canberra ACT 0200, Australia (email: gani@maths.anu.edu.au)
R. J. SWIFT*
Affiliation:
Department of Mathematics and Statistics, California State Polytechnic University, Pomona, CA 91768, USA (email: rjswift@csupomona.edu)
*
✉For correspondence; e-mail: rjswift@csupomona.edu
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Abstract

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In this note, we study deterministic and stochastic models for the spread of cholera. The deterministic model for the total number of cholera cases fits the observed total number of cholera cases in some recent outbreaks. The stochastic model for the total number of cholera cases leads to a binomial type distribution with a mean that agrees with the deterministic model.

Keywords

cholerawater-borne bacterial infectionsdeterministic modelstochastic model

MSC classification

Secondary:92D30: Epidemiology

Information

Type
Research Article
Information
The ANZIAM Journal , Volume 51 , Issue 2 , October 2009, pp. 234 - 240
Copyright
Copyright © Australian Mathematical Society 2010

References

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