is the impact of the influx of infected individuals and transfer rates between infectious classes on the overall the dynamics of the model. The paper is organized as follows:\
$\bullet$ We derive a class of vector-borne models with $n$ stages of infection, for which there is a flux of infected and infectious immigrants at all of these infectious stages. The formulated model accounts also for the progression and amelioration during the infectious stages, from an arbitrary stage $i$ to an arbitrary stage $j$. The transfer is considered a progression if $i>j$ and an amelioration if $i<j$ ().\
$\bullet$ We completely study the dynamics of the proposed model (). It turns out that the model has a variety of dynamics, which depends on the patterns of the influx infected host into the population and the transfer rate matrix – that describes the amelioration and deterioration of hosts’ infectivity level. Particularly, we show that, under certain conditions, it is possible to corral the infectious hosts only into the classes in which they are replenished and maintain the vector populations disease-free. A threshold $\mathcal N^2(p,\mathbf{p},p_{n+1})$ plays a critical role for the existence of such steady-state.\
$\bullet$ We provide the global dynamics of the 