  We propose and analyze an epidemiological model for vector borne diseases
that integrates a multi-stage vector population and several host
sub-populations which may be characterized by a variety of compartmental model
types: subpopulations all include Susceptible and Infected compartments, but
may or may not include Exposed and/or Recovered compartments. The model was
originally designed to evaluate the effectiveness of various prophylactic
measures in malaria-endemic areas, but can be applied as well to other
vector-borne diseases. This model is expressed as a system of several
differential equations, where the number of equations depends on the particular
assumptions of the model. We compute the basic reproduction number $\mathcal
R_0$, and show that if $\mathcal R_0\leqslant 1$, the disease free equilibrium
(DFE) is globally asymptotically stable (GAS) on the nonnegative orthant. If
$\mathcal R_0>1$, the system admits a unique endemic equilibrium (EE) that is
GAS. We analyze the sensitivity of $R_0$ and the EE to different system
parameters, and based on this analysis we discuss the relative effectiveness of
different control measures.
