Document Type

Article

Publication Date

2014

DOI

10.1080/17513758.2014.896482

Publication Title

Journal of Biological Dynamics

Volume

8

Issue

1

Pages

1-19

Abstract

We propose a deterministic compartmental model for cholera dynamics in periodic environments. The model incorporates seasonal variation into a general formulation for the incidence (or, force of infection) and the pathogen concentration. The basic reproduction number of the periodic model is derived, based on which a careful analysis is conducted on the epidemic and endemic dynamics of cholera. Several specific examples are presented to demonstrate this general model, and numerical simulation results are used to validate the analytical prediction.

Comments

This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/3.0) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Original Publication Citation

Posny, D., & Wang, J. (2014). Modelling cholera in periodic environments. Journal of Biological Dynamics, 8(1), 1-19. doi:10.1080/17513758.2014.896482

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