latter on Malaria dynamics, by incorporating a latent class, $n$ stages of infection in the host’s dynamics and a differential infectivity of vectors with respect to host’s infectious stages.

-   If $D$ and $G$ are as defined in (\[GD\]), our model extends [@BicharaIggidrSmith2017; @BraVdd01; @cruz2012control; @guo2012impacts; @1056.92052; @palmer2018dynamics; @tumwiine2010host] by incorporating forward (deterioration) and backward (amelioration) stage progression. Moreover, the progressions or regressions are not necessarily incremental.

-   Model (\[ModelAD2Compact\]) extends the models considered in [@guo2012impacts; @guo2012global; @1008.92032] to vector-borne disease models and the incorporation of influx of infected in each of the hosts’ infectious classes.

Overall, Model (\[ModelAD2Compact\]) generalizes in some fashion or aspect models in [@BicharaIggidrSmith2017; @BraVdd01; @cruz2012control; @guo2012impacts; @guo2012global; @1056.92052; @palmer2018dynamics; @tumwiine2010host; @1008.92032].

Also, it worthwhile to notice that our system could be seen as vector-borne model that vertically transmitted at each stage of the infection. That is, when off-springs are infected by mothers during pregnancy or delivery. Zika virus is a natural example of a vector-borne disease that is vertically transmitted [@tabata2016zika].\
The following result shows the solutions of Model (\[ModelAD2Compact\]) are positive and remain bounded at all times, thereby making the model biologically grounded.

The set $$\Omega=\left\{ (S_h,E_h,\mathbf{I}_h,S_v,E_v,I_v)\in\R^{n+5}\;\mid S_h+E_h+\mathds{1}^T\mathbf{I}_h\leq N_h, S_v+E_v+I_v\leq N_v:=\frac{\pi_v}{\mu_v+\delta_v} \right\}$$ is a 