Journal of Biological Dynamics
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.
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
Wang, Jin and Liao, Shu, "A Generalized Cholera Model and Epidemic-Endemic Analysis" (2012). Mathematics & Statistics Faculty Publications. 47.