Document Type

Article

Publication Date

2012

DOI

10.1080/17513758.2012.658089

Publication Title

Journal of Biological Dynamics

Volume

6

Issue

2

Pages

568-589

Abstract

The transmission of cholera involves both human-to-human and environment-to-human pathways that complicate its dynamics. In this paper, we present a new and unified deterministic model that incorporates a general incidence rate and a general formulation of the pathogen concentration to analyse the dynamics of cholera. Particularly, this work unifies many existing cholera models proposed by different authors. We conduct equilibrium analysis to carefully study the complex epidemic and endemic behaviour of the disease. Our results show that despite the incorporation of the environmental component, there exists a forward transcritical bifurcation at R0 = 1 for the combined human-environment epidemiological model under biologically reasonable conditions.

Comments

"Journal of Biological Dynamics is an Open Access Journal. All articles published in the Journal will be permanently open to access online immediately upon publication, enabling anyone to read, download and share that research."

Original Publication Citation

Wang, J., & Liao, S. (2012). A generalized cholera model and epidemic-endemic analysis. Journal of Biological Dynamics, 6(2), 568-589. doi:10.1080/17513758.2012.658089

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