A cholera model in a patchy environment with water and human movement

Heterogeneity in multiple transmission pathways: modelling the spread of cholera and other waterborne disease in networks with a common water source

“…Direct transmission between patches is an area for future work, with many possible modelling frameworks and network structures describing the interactions. In this case, the placement of high and low transmission patches within the network may affect the spread of disease (see [11,37] for related work on this topic).…”

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

“…When R 0 > 1 and x > 0, (R 0 − 1)w T x > 0. The continuity, assumption (H 4 ), and a similar evaluation as Equation (8) imply that L > 0 in a small neighbourhood of P 0 in int( ). Thus the instability of P 0 and the uniform persistence of Equation (1) follow similarly as in the proof of Theorem 2.2 in [27].…”

“…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.…”

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

“…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).…”