Global stability for cholera epidemic models

Disease dynamics in a coupled cholera model linking within-host and between-host interactions

“…We comment that in the current paper as well as the work of Wang et al [34,35], bacterial shedding is interpreted as a means of generating new pathogen that leads to new infection, whereas in a few other studies [26,28,29,32], pathogen shedding is treated as a transfer between infectious compartments which would result in a different, but equivalent, basic reproduction number.…”

“…However, to the best of our knowledge, no existing work has attempted to address the coupled within-and between-host dynamics of cholera (a severe water-borne gastroenteric disease caused by the bacterium Vibrio cholerae), despite the fact that a large body of work has been devoted to its population level modelling (e.g. [4][5][6]17,21,22,26,28,29,[32][33][34][35][36]). It is also worth mentioning that some of these between-host models have incorporated both human and environmental transmission pathways with nonlinear disease incidence functions (see, e.g.…”

“…It is also worth mentioning that some of these between-host models have incorporated both human and environmental transmission pathways with nonlinear disease incidence functions (see, e.g. [10,26,27,28,31] and the references therein).…”

Modelling and control of cholera on networks with a common water source

“…Several mathematical models have been proposed to understand the transmission of cholera [6,13,26,28,29], while more complicated heterogeneous models have been used to investigate the spatial cholera spread due to human and water movement [4,8,20,22,30]. The interplay between human and water movement often makes the model analysis very challenging due to the complexity and large scale of these heterogeneous cholera models.…”

A Study of a Fractional-Order Cholera Model

“…This work unifies many existing cholera models proposed by different authors. In [18], the authors proposed global stability analysis for several deterministic cholera epidemic models. These models, incorporating both human population and pathogen V. cholerae concentration, constitute four-dimensional non-linear autonomous systems where the classical Poincar-Bendixson theory is not applicable.…”