Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-10T11:51:43.017Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

References

[1]Das, P., Mukherjee, D. and Sarkar, A. K., “Study of a carrier dependent infectious disease—cholera”, J. Biol. Syst. 13 (2005) 233–244.CrossRefGoogle Scholar
[2]Pourabbas, E., d’Onofrio, A. and Rafanelli, M., “A method to estimate the incidence of communicable diseases under seasonal fluctuations with application to cholera”, Appl. Math. Comput. 118 (2001) 161–174.Google Scholar
[3]Singh, L. S. and Singh, K., “SIS epidemic model of cholera”, Vikram Math. J. 18 (1998) 56–64.Google Scholar
[4]Snow, J., “The cholera near Golden Square, and at Deptford”, Medical Times and Gazette 9 (1854) 321–322.Google Scholar